CN105790921B - A kind of more wing chaos signal generators based on staircase waveform switching control - Google Patents

A kind of more wing chaos signal generators based on staircase waveform switching control Download PDF

Info

Publication number
CN105790921B
CN105790921B CN201610056125.5A CN201610056125A CN105790921B CN 105790921 B CN105790921 B CN 105790921B CN 201610056125 A CN201610056125 A CN 201610056125A CN 105790921 B CN105790921 B CN 105790921B
Authority
CN
China
Prior art keywords
operational amplifier
resistance
negative input
output end
input end
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Fee Related
Application number
CN201610056125.5A
Other languages
Chinese (zh)
Other versions
CN105790921A (en
Inventor
张朝霞
禹思敏
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Foshan University
Original Assignee
Foshan University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Foshan University filed Critical Foshan University
Priority to CN201610056125.5A priority Critical patent/CN105790921B/en
Publication of CN105790921A publication Critical patent/CN105790921A/en
Application granted granted Critical
Publication of CN105790921B publication Critical patent/CN105790921B/en
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Classifications

    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/001Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using chaotic signals

Landscapes

  • Engineering & Computer Science (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Amplifiers (AREA)

Abstract

A kind of more wing chaos signal generators based on staircase waveform switching control disclosed by the invention, including basic Generation of Chaotic Signals N1, basic Generation of Chaotic Signals N2, the sequencer N3 for generating switching control function;The output end of basic Generation of Chaotic Signals N1 is connect with the input terminal of sequencer N3, and the output end of basic Generation of Chaotic Signals N2 is connect with the input terminal of sequencer N3;The output end of sequencer N3 is connect with basic Generation of Chaotic Signals N1 input terminals, basic Generation of Chaotic Signals N2 input terminals respectively.Sequencer for generating switching control function makes more wing chaos signal generator hardware based on staircase waveform switching control be more easy to realize, the present invention can generate more wing chaos systems so that chaos encryption is stronger.

Description

A kind of more wing chaos signal generators based on staircase waveform switching control
Technical field
The present invention relates to chaos circuits needed for chaotic secret communication, and in particular to one kind being based on staircase waveform switching control More wing chaos signal generators.
Background technology
How to generate for various chaos circuits needed for chaotic secret communication is nonlinear circuit and system in recent years One frontier of disciplinary study, has achieved some relevant achievements in research, such as Chinese patent Authorization Notice No. at present The patent document of CN1199968A discloses a kind of deformed cai's circuit, Chinese patent Authorization Notice No. ZL201210129556.1 Patent document disclose a kind of composite chaotic signal circuit, but be not related to more wing chaos system based on staircase waveform switching control System, therefore, for chaotic secure communication, there is also limitations.
Invention content
For overcome the deficiencies in the prior art, the object of the present invention is to provide a kind of more wings based on staircase waveform switching control Wing chaos signal generator makes chaos signal generator hardware be more easy to realize, encryption is stronger.
To achieve the goals above, the present invention takes following scheme:
A kind of more wing chaos signal generators based on staircase waveform switching control, including by operational amplifier and multiplier The basic Generation of Chaotic Signals N1 of composition, the basic Generation of Chaotic Signals being made of operational amplifier and multiplier N2, the sequencer N3 for generating switching control function q (y);The output end of the basic Generation of Chaotic Signals N1 It is connect with the input terminal of sequencer N3, the input of the output end and sequencer N3 of basic Generation of Chaotic Signals N2 End connection;The output end of sequencer N3 is produced with basic Generation of Chaotic Signals N1 input terminals, basic chaotic signal respectively Raw circuit N2 input terminals connection.
Preferably, the basic Generation of Chaotic Signals N1 includes 12 operational amplifiers and 1 multiplier;Described 12 A operational amplifier is respectively OP1、OP2、OP3、OP4、OP5、OP6、OP7、OP8、OP9、OP10、OP11、OP12, 1 multiplier For MUL1
The operational amplifier OP1Output end pass through resistance R1With operational amplifier OP1Negative input end connection;Operation Amplifier OP1Output end pass through resistance R9With operational amplifier OP7Negative input end connection;
The operational amplifier OP2Output end pass through resistance R3With operational amplifier OP2Negative input end connection;Operation Amplifier OP2Output end and multiplier MUL1Input terminal, operational amplifier OP1Negative input end connection;
The operational amplifier OP3Output end pass through resistance R4With operational amplifier OP2Negative input end connection;
The operational amplifier OP4Output end pass through resistance R respectively6, resistance R8With operational amplifier OP4、OP5It is negative defeated Enter end connection, operational amplifier OP4Negative input end pass through resistance R5With operational amplifier OP7Output end connection, operation amplifier Device OP4Output end pass through resistance R4With operational amplifier OP5Negative input end connection;
The operational amplifier OP5Output end and operational amplifier OP3Negative input end be connected, operational amplifier OP5's Output end passes through resistance R7With operational amplifier OP5Negative input end connection;
The multiplier MUL1Output end pass through resistance R10With operational amplifier OP7Negative input end connection;
The operational amplifier OP6Output end pass through resistance R respectively12, resistance R13With operational amplifier OP6、OP7It is negative Input terminal connects, operational amplifier OP6Negative input end pass through resistance R11With resistance R5One end, operational amplifier OP8It is just defeated Enter end connection;
Operational amplifier OP7Output end be connected with the input terminal of sequencer N3;
The operational amplifier OP8Output end and operational amplifier OP8Negative input end connection;Operational amplifier OP8's Output end passes through resistance R14With operational amplifier OP9Negative input end connection;Operational amplifier OP8Output end pass through resistance R15 With operational amplifier OP10Negative input end connection;
The operational amplifier OP9Output end connect with the anode of the cathode of diode D1, diode D2, diode D1 Anode pass through resistance R16With operational amplifier OP9Negative input end connection, the cathode of diode D2 and operational amplifier OP9's Negative input end connects, resistance R16, diode D1 anode pass through resistance R17With operational amplifier OP10Negative input end connection;
Operational amplifier OP10Output end pass through resistance R18With operational amplifier OP10Negative input end connection, operation puts Big device OP10Output end pass through resistance R20With operational amplifier OP11Negative input end connection;
Operational amplifier OP11Negative input end pass through resistance R19With operational amplifier OP11Output end connection, operation puts Big device OP11Output end pass through resistance R21With operational amplifier OP12Negative input end connection;
Operational amplifier OP12Output end pass through resistance R22With operational amplifier OP12Negative input end connection, operation puts Big device OP12Negative input end pass through resistance R23It is connect with sequencer N3, operational amplifier OP12Output end and multiplier MUL1Input terminal connection.
The operational amplifier OP1、OP2、OP3、OP4、OP5、OP6、OP7、OP9、OP10、OP11、OP12Positive input termination Ground.
Preferably, the basic Generation of Chaotic Signals N2 include 7 operational amplifiers and 2 multipliers, described 7 Operational amplifier distinguishes OP13、OP14、OP15、OP16、OP17、OP18、OP19, 2 multipliers are respectively MUL2、MUL3
The operational amplifier OP13Output end pass through resistance R respectively25, resistance R27With operational amplifier OP13, operation puts Big device OP14Negative input end connection, operational amplifier OP13Negative input end and operational amplifier OP16Output end connection;
The operational amplifier OP14Output end and multiplier MUL2Input terminal connection, operational amplifier OP14Output End passes through resistance R26With operational amplifier OP14Negative input end connection;
The multiplier MUL2Output end pass through resistance and operational amplifier OP16Negative input end connection;
Operational amplifier OP15Output end pass through resistance R respectively30, resistance R31With operational amplifier OP15Negative input end, Operational amplifier OP16Negative input end connection, operational amplifier OP15Negative input end pass through resistance R29With operational amplifier OP17 Positive input terminal connection;
Operational amplifier OP16Output end and operational amplifier OP17Positive input terminal connection, operational amplifier OP16It is defeated Outlet is connected with the input terminal of sequencer N3;
Operational amplifier OP17Output end and operational amplifier OP17Negative input end connection, operational amplifier OP17It is defeated Outlet and multiplier MUL3Two input terminals connection, multiplier MUL3Output end pass through resistance R32With operational amplifier OP18 Negative input end connection;
Operational amplifier OP18Output end by passing through resistance R respectively33, resistance R34With operational amplifier OP18It is negative defeated Enter end, operational amplifier OP19Negative input end connection;
Operational amplifier OP19Output end pass through resistance R35With operational amplifier OP19Negative input end connection;Operation is put Big device OP19Negative input end pass through resistance R36It is connect with sequencer N3;
The operational amplifier OP13、OP14、OP15、OP16、OP18、OP19Positive input terminal ground connection.
Preferably, the sequencer N3 includes 22 operational amplifiers;22 operational amplifiers are respectively OP20、OP21、OP22、OP23、OP24、OP25、OP26、OP27、OP28、OP29、OP30、OP31、OP32、OP33、OP34、OP35、OP36、 OP37、OP38、OP39、OP40、OP41
The operational amplifier OP22Output end pass through resistance R41With operational amplifier OP21Negative input end connection;
Operational amplifier OP21Output end pass through resistance R respectively38, resistance R40With operational amplifier OP21Negative input end, Operational amplifier OP20Negative input end connection;
Operational amplifier OP20Negative input end pass through resistance R39With operational amplifier OP20Output end connection, operation puts Big device OP20Output end pass through resistance R46With operational amplifier OP30Negative input end connection;
Operational amplifier OP24Output end pass through resistance R45With operational amplifier OP23Negative input end connection;
Operational amplifier OP23Output end pass through resistance R respectively44, resistance R43With operational amplifier OP23Negative input end, Operational amplifier OP20Positive input terminal connection;
The operational amplifier OP27Output end pass through resistance R51With operational amplifier OP26Negative input end connection;
Operational amplifier OP26Output end pass through resistance R respectively48, resistance R50With operational amplifier OP26Negative input end, Operational amplifier OP25Negative input end connection;
Operational amplifier OP25Negative input end pass through resistance R49With operational amplifier OP25Output end connection, operation puts Big device OP25Output end pass through resistance R56, switch K2With operational amplifier OP30Negative input end connection;
Operational amplifier OP29Output end pass through resistance R55With operational amplifier OP28Negative input end connection;
Operational amplifier OP28Output end pass through resistance R respectively54, resistance R53With operational amplifier OP28Negative input end, Operational amplifier OP25Positive input terminal connection;
The operational amplifier OP34Output end pass through resistance R61With operational amplifier OP33Negative input end connection;
Operational amplifier OP33Output end pass through resistance R respectively58, resistance R60With operational amplifier OP33Negative input end, Operational amplifier OP32Negative input end connection;
Operational amplifier OP32Negative input end pass through resistance R59With operational amplifier OP32Output end connection, operation puts Big device OP32Output end pass through resistance R66, switch K3With operational amplifier OP30Negative input end connection;
Operational amplifier OP36Output end pass through resistance R65With operational amplifier OP35Negative input end connection;
Operational amplifier OP35Output end pass through resistance R respectively64, resistance R63With operational amplifier OP35Negative input end, Operational amplifier OP32Positive input terminal connection;
The operational amplifier OP39Output end pass through resistance R71With operational amplifier OP38Negative input end connection;
Operational amplifier OP38Output end pass through resistance R respectively68, resistance R70With operational amplifier OP38Negative input end, Operational amplifier OP37Negative input end connection;
Operational amplifier OP37Negative input end pass through resistance R69With operational amplifier OP37Output end connection, operation puts Big device OP37Output end pass through resistance R76, switch K4With operational amplifier OP30Negative input end connection;
Operational amplifier OP41Output end pass through resistance R75With operational amplifier OP40Negative input end connection;
Operational amplifier OP40Output end pass through resistance R respectively74, resistance R73With operational amplifier OP40Negative input end, Operational amplifier OP37Positive input terminal connection;
The operational amplifier OP30Negative input end pass through resistance R75With operational amplifier OP30Output end connection, fortune Calculate amplifier OP30Output end pass through resistance R78With operational amplifier OP31Negative input end connection;
Operational amplifier OP31Negative input end pass through resistance R79With operational amplifier OP31Output end connection;Wherein OP21、OP23、OP26、OP28、OP33、OP35、OP38、OP40、OP30、OP31Negative input end ground connection, OP22、OP24、OP27、OP29、 OP34、OP36、OP39、OP41Negative input end and OP7、OP16Output end connection.
Sequencer N3 generates more wing chaotic signals as switch controller, and hardware circuit is more easy to realize.
The present invention having the beneficial effect that compared with the prior art:1) due to using the staircase waveform sequence of function as switch controller More wing hyperchaos signals are generated, the realization of hardware circuit is more prone to;2) chaos signal generator using the present invention, More wing chaotic signals can be generated, for the encryption in communicating, performance is more preferably.
Description of the drawings
Fig. 1 is general structure schematic diagram of the present invention;
Fig. 2 is the circuit diagram for generating switching control function q (y) sequencer N3;
Specific implementation mode
Each device in figure:
OP1~OP12:The operational amplifier of basic Generation of Chaotic Signals N1;
MUL1:The multiplier of basic Generation of Chaotic Signals N1;
OP13~OP19:The operational amplifier of basic Generation of Chaotic Signals N2;
MUL2~MUL3:The multiplier of basic Generation of Chaotic Signals N2;
OP20~OP41:Generate the operational amplifier of switching control function q (y) sequencer N3;
D1~D2:Generate the diode of switching control function q (y) sequencer N3;
K1:Generate the switch of basic chaotic signal;
K2~K4:Generate the switch of switching control function q (y) sequencer N3;
E1~E8:The delay voltage of sequencer N3;
Implement below for illustrating the present invention, but is not limited to the scope of the present invention.
The output end of the basic Generation of Chaotic Signals N1 is connect with the input terminal of sequencer N3, basic chaos The output end of signal generating circuit N2 is connect with the input terminal of sequencer N3;The output end of sequencer N3 respectively with base This Generation of Chaotic Signals N1 input terminals, the connection of basic Generation of Chaotic Signals N2 input terminals.
As shown in Figure 1, a kind of more wing chaos signal generators based on staircase waveform switching control of the present invention, packet It includes the basic Generation of Chaotic Signals N1 being made of operational amplifier and multiplier, be made of operational amplifier and multiplier Basic Generation of Chaotic Signals N2, the sequencer N3 for generating switching control function q (y);
As shown in Figure 1, the basic Generation of Chaotic Signals N1 includes 12 operational amplifiers and 1 multiplier;Institute It is respectively OP to state 12 operational amplifiers1、OP2、OP3、OP4、OP5、OP6、OP7、OP8、OP9、OP10、OP11、OP12, described 1 multiplies Musical instruments used in a Buddhist or Taoist mass is MUL1
The operational amplifier OP1Output end pass through resistance R1With operational amplifier OP1Negative input end connection;Operation Amplifier OP1Output end pass through resistance R9With operational amplifier OP7Negative input end connection;
The operational amplifier OP2Output end pass through resistance R3With operational amplifier OP2Negative input end connection;Operation Amplifier OP2Output end and multiplier MUL1Input terminal, operational amplifier OP1Negative input end connection;
The operational amplifier OP3Output end pass through resistance R4With operational amplifier OP2Negative input end connection;
The operational amplifier OP4Output end pass through resistance R respectively6, resistance R8With operational amplifier OP4、OP5It is negative defeated Enter end connection, operational amplifier OP4Negative input end pass through resistance R5With operational amplifier OP7Output end connection;
The operational amplifier OP5Output end and operational amplifier OP3Negative input end be connected, operational amplifier OP5's Output end passes through resistance R7With operational amplifier OP5Negative input end connection;
The multiplier MUL1Output end pass through resistance R10With operational amplifier OP7Negative input end connection;
The operational amplifier OP6Output end pass through resistance R respectively12, resistance R13With operational amplifier OP6、OP7It is negative Input terminal connects, operational amplifier OP6Negative input end pass through resistance R11With resistance R5One end, operational amplifier OP8It is negative defeated Enter end connection;
Operational amplifier OP7Output end be connected with the input terminal of sequencer N3;
The operational amplifier OP8Output end and operational amplifier OP8Negative input end connection;Operational amplifier OP8's Output end passes through resistance R14With operational amplifier OP9Negative input end connection;Operational amplifier OP8Output end pass through resistance R15 With operational amplifier OP10Negative input end connection;
The operational amplifier OP9Output end connect with the anode of the cathode of diode D1, diode D2, diode D1 Anode pass through resistance R16With operational amplifier OP9Negative input end connection, the cathode of diode D2 and operational amplifier OP9's Negative input end connects, resistance R16, diode D1 anode pass through resistance R17With operational amplifier OP10Negative input end connection;
Operational amplifier OP10Output end pass through resistance R18With operational amplifier OP10Negative input end connection, operation puts Big device OP10Output end pass through resistance R20With operational amplifier OP11Negative input end connection;
Operational amplifier OP11Negative input end pass through resistance R19With operational amplifier OP11Output end connection, operation puts Big device OP11Output end pass through resistance R21With operational amplifier OP12Negative input end connection;
Operational amplifier OP12Output end pass through resistance R22With operational amplifier OP12Negative input end connection, operation puts Big device OP12Negative input end pass through resistance R23It is connect with sequencer N3, operational amplifier OP12Output end and multiplier MUL1Input terminal connection.
The output end of the sequencer N3 passes through resistance and operational amplifier OP8Negative input end connection;
The operational amplifier OP1、OP2、OP3、OP4、OP5、OP6、OP7、OP8、OP9、OP10、OP11、OP12Positive input terminal Ground connection.
As shown in Figure 1, basic Generation of Chaotic Signals N2 includes 7 operational amplifiers and 2 multipliers, described 7 Operational amplifier distinguishes OP13、OP14、OP15、OP16、OP17、OP18、OP19, 2 multipliers are respectively MUL2、MUL3
The operational amplifier OP13Output end pass through resistance R respectively25, resistance R27With operational amplifier OP13, operation puts Big device OP14Negative input end connection, operational amplifier OP13Negative input end and operational amplifier OP16Output end connection
The operational amplifier OP14Output end and multiplier MUL2Input terminal connection, operational amplifier OP14Output End passes through resistance R26With operational amplifier OP14Negative input end connection;
The multiplier MUL2Output end pass through resistance and operational amplifier OP16Negative input end connection;
Operational amplifier OP15Output end pass through resistance R respectively30, resistance R31With operational amplifier OP15Negative input end, Operational amplifier OP16Negative input end connection, operational amplifier OP15Negative input end pass through resistance R29With operational amplifier OP17 Positive input terminal connection;
Operational amplifier OP16Output end and operational amplifier OP17Positive input terminal connection;
Operational amplifier OP17Output end and operational amplifier OP17Negative input end connection, operational amplifier OP17It is defeated Outlet and multiplier MUL3Two input terminals connection, multiplier MUL3Output end pass through resistance R32With operational amplifier OP18 Negative input end connection;
Operational amplifier OP18Output end by passing through resistance R respectively33, resistance R34With operational amplifier OP18It is negative defeated Enter end, operational amplifier OP19Negative input end connection;
Operational amplifier OP19Output end pass through resistance R35With operational amplifier OP19Negative input end connection;Operation is put Big device OP19Negative input end pass through resistance R36It is connect with sequencer N3;
The operational amplifier OP13、OP14、OP15、OP16、OP18、OP19Positive input terminal ground connection.
As shown in Fig. 2, sequencer N3 includes 22 operational amplifiers;22 operational amplifiers are respectively OP20、 OP21、OP22、OP23、OP24、OP25、OP26、OP27、OP28、OP29、OP30、OP31、OP32、OP33、OP34、OP35、OP36、OP37、 OP38、OP39、OP40、OP41
The operational amplifier OP22Output end pass through resistance R41With operational amplifier OP21Negative input end connection;
Operational amplifier OP21Output end pass through resistance R respectively38, resistance R40With operational amplifier OP21Negative input end, Operational amplifier OP20Negative input end connection;
Operational amplifier OP20Negative input end pass through resistance R39With operational amplifier OP20Output end connection, operation puts Big device OP20Output end pass through resistance R46With operational amplifier OP30Negative input end connection;
Operational amplifier OP24Output end pass through resistance R45With operational amplifier OP23Negative input end connection;
Operational amplifier OP23Output end pass through resistance R respectively44, resistance R43With operational amplifier OP23Negative input end, Operational amplifier OP20Positive input terminal connection;
The operational amplifier OP27Output end pass through resistance R51With operational amplifier OP26Negative input end connection;
Operational amplifier OP26Output end pass through resistance R respectively48, resistance R50With operational amplifier OP26Negative input end, Operational amplifier OP25Negative input end connection;
Operational amplifier OP25Negative input end pass through resistance R49With operational amplifier OP25Output end connection, operation puts Big device OP25Output end pass through resistance R56, switch K2With operational amplifier OP30Negative input end connection;
Operational amplifier OP29Output end pass through resistance R55With operational amplifier OP28Negative input end connection;
Operational amplifier OP28Output end pass through resistance R respectively54, resistance R53With operational amplifier OP28Negative input end, Operational amplifier OP25Positive input terminal connection;
The operational amplifier OP34Output end pass through resistance R61With operational amplifier OP33Negative input end connection;
Operational amplifier OP33Output end pass through resistance R respectively58, resistance R60With operational amplifier OP33Negative input end, Operational amplifier OP32Negative input end connection;
Operational amplifier OP32Negative input end pass through resistance R59With operational amplifier OP32Output end connection, operation puts Big device OP32Output end pass through resistance R66, switch K3With operational amplifier OP30Negative input end connection;
Operational amplifier OP36Output end pass through resistance R65With operational amplifier OP35Negative input end connection;
Operational amplifier OP35Output end pass through resistance R respectively64, resistance R63With operational amplifier OP35Negative input end, Operational amplifier OP32Positive input terminal connection;
The operational amplifier OP39Output end pass through resistance R71With operational amplifier OP38Negative input end connection;
Operational amplifier OP38Output end pass through resistance R respectively68, resistance R70With operational amplifier OP38Negative input end, Operational amplifier OP37Negative input end connection;
Operational amplifier OP37Negative input end pass through resistance R69With operational amplifier OP37Output end connection, operation puts Big device OP37Output end pass through resistance R76, switch K4With operational amplifier OP30Negative input end connection;
Operational amplifier OP41Output end pass through resistance R75With operational amplifier OP40Negative input end connection;
Operational amplifier OP40Output end pass through resistance R respectively74, resistance R73With operational amplifier OP40Negative input end, Operational amplifier OP37Positive input terminal connection;
The operational amplifier OP30Negative input end pass through resistance R75With operational amplifier OP30Output end connection, fortune Calculate amplifier OP30Output end pass through resistance R78With operational amplifier OP31Negative input end connection;
Operational amplifier OP31Negative input end pass through resistance R79With operational amplifier OP31Output end connection;Wherein OP21、OP23、OP26、OP28、OP33、OP35、OP38、OP40、OP30、OP31Negative input end ground connection, OP22、OP24、OP27、OP29、 OP34、OP36、OP39、OP41Negative input end and OP7、OP16Output end connection.
According to Fig. 1-Fig. 2 connection circuits, the data provided according to table 1, table 2, table 3, table 4, table 5, it may be determined that each in each figure The parameter of a component.Circuit generates a kind of more wing chaotic signals based on staircase waveform switching control, sequencer N3's On off state and the correspondence of wing quantity are as shown in table 6.
According to fig. 2, as switch K1Positioned at 1 when, obtain the mathematics of the staircase waveform switching control function q (y) of sequencer N3 Expression formula is
In above formula (1), M=4, Q1=0.5, Q2=1, Q3=1.5, Q4=2, H1=H2=H3=H4=0.84.
As switch K1Positioned at 2 when, the mathematic(al) representation for obtaining the staircase waveform switching control function q (y) of sequencer N3 is
In above formula (2), N=4, G1=0.3, G2=0.45, G3=0.6, G4=0.75, U1=5.15, U2=6.275, U3 =8.525, U4=10.775.
According to Fig. 1, as switch K1Positioned at 1 when, generate the signal input part of switching control function q (y) sequencer N3 With integrator OP in basic Generation of Chaotic Signals N12Output end be connected, signal output end by resistance with it is substantially mixed The 8th operational amplifier OP in ignorant signal generating circuit N18Negative input end.More wings based on staircase waveform switching control can be obtained The state equation of chaotic signal is following formula:
In above formula, a11=1.18, a12=1.18, a21=5.82, a22=0.7, a31=4, a32=0.168, q (y) is as above Shown in face (1) formula.
According to Fig. 1, as switch K1Positioned at 2 when, generate switching control function q (y) sequencer N3 its signal input part With integrator OP in basic Generation of Chaotic Signals N22Output end be connected, signal output end by resistance with it is substantially mixed The 13rd operational amplifier OP in ignorant signal generating circuit N213Negative input end.More wings based on staircase waveform switching control can be obtained The state equation of wing chaotic signal is following formula:
In above formula, d11=36, d12=36, d21=20, d22=20, d31=100, d32=3, q (y) such as (2) formula institute above Show.
The selection of circuit element and supply voltage of the present invention:All operational amplifiers, model in Fig. 1~Fig. 2 TL082, supply voltage are ± E=± 15V, and the saturation value that experiment measures each op-amp output voltage at this time is Vsat=± 13.5V.All multipliers in Fig. 1~Fig. 2, model AD633, supply voltage are ± E=± 15V.Two all poles in Fig. 2 Pipe, model 1N5393.For the ease of Experiment of Electrical Circuits, in order to ensure the accuracy of resistance value, all resistance are equal in Fig. 1~Fig. 2 Using accurate adjustable resistance or accurate adjustable potentiometer.
Component parameter table of the present invention is as follows:
1 (unit of table:kΩ)
R1 10 R2 10 R3 1
R4 13.5 R5 10 R6 10
R7 84.7 R8 84.7 R9 17.2
R10 10 R11 10 R12 10
R13 142.9 R14 10 R15 10
R16 10 R17 5 R18 10
R19 10 R20 10 R21 25
R22 595.2 R23 100 R24 10
R25 10 R26 2.78 R27 2.78
R28 0.5 R29 10 R30 10
R31 5 R32 10 R33 10
R34 0.1 R35 33.3 R36 100
2 (unit of table:V)
E1 E2 E3 E4 K1Position
0.5 1.0 1.5 2.0 K1Positioned at 1 when
0.3 0.45 0.6 0.75 K1Positioned at 2 when
3 (unit of table:V)
E5 2 E6 2
E7 2 E8 2
4 (unit of table:kΩ)
R46 R56 R66 R76 K1Position
12.5 11 11 11 K1Positioned at 1 when
20 16.67 12 11 K1Positioned at 2 when
5 (unit of table:kΩ)
R37 10 R38 1 R39 10
R40 10 R41 13.5 R42 5
R43 10 R44 1 R45 13.5
R47 10 R48 1 R49 10
R50 10 R51 13.5 R52 5
R53 10 R54 1 R55 13.5
R57 10 R58 1 R59 10
R60 10 R61 13.5 R62 5
R63 10 R64 1 R65 13.5
R67 10 R68 1 R69 10
R70 10 R71 13.5 R72 5
R73 10 R74 1 R75 13.5
R77 100 R78 10 R79 10
The correspondence of on off state and wing quantity in 6 Fig. 2 of table
K2 K3 K4 Wing quantity
It disconnects It disconnects It disconnects 4
It connects It disconnects It disconnects 6
It connects It connects It disconnects 8
It connects It connects It connects 10

Claims (3)

1. a kind of more wing chaos signal generators based on staircase waveform switching control, it is characterised in that including by operational amplifier With multiplier composition basic Generation of Chaotic Signals N1, basic Generation of Chaotic Signals N2, for generating switching control The sequencer N3 of function q (y);The input of the output end and sequencer N3 of the basic Generation of Chaotic Signals N1 End connection, the output end of basic Generation of Chaotic Signals N2 are connect with the input terminal of sequencer N3;Sequencer N3 Output end connect respectively with basic Generation of Chaotic Signals N1 input terminals, basic Generation of Chaotic Signals N2 input terminals;
The basic Generation of Chaotic Signals N1 includes 12 operational amplifiers and 1 multiplier;12 operation amplifiers Device is respectively OP1、OP2、OP3、OP4、OP5、OP6、OP7、OP8、OP9、OP10、OP11、OP12, 1 multiplier is MUL1
The operational amplifier OP1Output end pass through resistance R1With operational amplifier OP1Negative input end connection;Operation amplifier Device OP1Output end pass through resistance R9With operational amplifier OP7Negative input end connection;
The operational amplifier OP2Output end pass through resistance R3With operational amplifier OP2Negative input end connection;Operation amplifier Device OP2Output end and multiplier MUL1Input terminal, operational amplifier OP1Negative input end connection;
The operational amplifier OP3Output end pass through resistance R4With operational amplifier OP2Negative input end connection;
The operational amplifier OP4Output end pass through resistance R respectively6, resistance R8With operational amplifier OP4、OP5Negative input end Connection, operational amplifier OP4Negative input end pass through resistance R5With operational amplifier OP7Output end connection, operational amplifier OP4Output end pass through resistance R4With operational amplifier OP5Negative input end connection;
The operational amplifier OP5Output end and operational amplifier OP3Negative input end be connected, operational amplifier OP5Output End passes through resistance R7With operational amplifier OP5Negative input end connection;
The multiplier MUL1Output end pass through resistance R10With operational amplifier OP7Negative input end connection;
The operational amplifier OP6Output end pass through resistance R respectively12, resistance R13With operational amplifier OP6、OP7Negative input End connection, operational amplifier OP6Negative input end pass through resistance R11With resistance R5One end, operational amplifier OP8Positive input terminal Connection;
Operational amplifier OP7Output end be connected with the input terminal of sequencer N3;
The operational amplifier OP8Output end and operational amplifier OP8Negative input end connection;Operational amplifier OP8Output End passes through resistance R14With operational amplifier OP9Negative input end connection;Operational amplifier OP8Output end pass through resistance R15With fortune Calculate amplifier OP10Negative input end connection;
The operational amplifier OP9Output end connect with the anode of the cathode of diode D1, diode D2, the sun of diode D1 Pole passes through resistance R16With operational amplifier OP9Negative input end connection, the cathode of diode D2 and operational amplifier OP9It is negative defeated Enter end connection, resistance R16, diode D1 anode pass through resistance R17With operational amplifier OP10Negative input end connection;
Operational amplifier OP10Output end pass through resistance R18With operational amplifier OP10Negative input end connection, operational amplifier OP10Output end pass through resistance R20With operational amplifier OP11Negative input end connection;
Operational amplifier OP11Negative input end pass through resistance R19With operational amplifier OP11Output end connection, operational amplifier OP11Output end pass through resistance R21With operational amplifier OP12Negative input end connection;
Operational amplifier OP12Output end pass through resistance R22With operational amplifier OP12Negative input end connection, operational amplifier OP12Negative input end pass through resistance R23It is connect with sequencer N3, operational amplifier OP12Output end and multiplier MUL1 Input terminal connection;
The operational amplifier OP1、OP2、OP3、OP4、OP5、OP6、OP7、OP9、OP10、OP11、OP12Positive input terminal ground connection.
2. more wing chaos signal generators based on staircase waveform switching control according to claim 1, it is characterised in that institute It includes 7 operational amplifiers and 2 multipliers, 7 operational amplifiers difference to state basic Generation of Chaotic Signals N2 OP13、OP14、OP15、OP16、OP17、OP18、OP19, 2 multipliers are respectively MUL2、MUL3
The operational amplifier OP13Output end pass through resistance R respectively25, resistance R27With operational amplifier OP13, operational amplifier OP14Negative input end connection, operational amplifier OP13Negative input end and operational amplifier OP16Output end connection;
The operational amplifier OP14Output end and multiplier MUL2Input terminal connection, operational amplifier OP14Output end it is logical Cross resistance R26With operational amplifier OP14Negative input end connection;
The multiplier MUL2Output end pass through resistance and operational amplifier OP16Negative input end connection;
Operational amplifier OP15Output end pass through resistance R respectively30, resistance R31With operational amplifier OP15Negative input end, operation Amplifier OP16Negative input end connection, operational amplifier OP15Negative input end pass through resistance R29With operational amplifier OP17Just Input terminal connects;
Operational amplifier OP16Output end and operational amplifier OP17Positive input terminal connection, operational amplifier OP16Output end It is connected with the input terminal of sequencer N3;
Operational amplifier OP17Output end and operational amplifier OP17Negative input end connection, operational amplifier OP17Output end With multiplier MUL3Two input terminals connection, multiplier MUL3Output end pass through resistance R32With operational amplifier OP18It is negative Input terminal connects;
Operational amplifier OP18Output end by passing through resistance R respectively33, resistance R34With operational amplifier OP18Negative input end, Operational amplifier OP19Negative input end connection;
Operational amplifier OP19Output end pass through resistance R35With operational amplifier OP19Negative input end connection;Operational amplifier OP19Negative input end pass through resistance R36It is connect with sequencer N3;
The operational amplifier OP13、OP14、OP15、OP16、OP18、OP19Positive input terminal ground connection.
3. more wing chaos signal generators based on staircase waveform switching control according to claim 1, it is characterised in that institute It includes 22 operational amplifiers to state sequencer N3;22 operational amplifiers are respectively OP20、OP21、OP22、OP23、 OP24、OP25、OP26、OP27、OP28、OP29、OP30、OP31、OP32、OP33、OP34、OP35、OP36、OP37、OP38、OP39、OP40、 OP41
The operational amplifier OP22Output end pass through resistance R41With operational amplifier OP21Negative input end connection;
Operational amplifier OP21Output end pass through resistance R respectively38, resistance R40With operational amplifier OP21Negative input end, operation Amplifier OP20Negative input end connection;
Operational amplifier OP20Negative input end pass through resistance R39With operational amplifier OP20Output end connection, operational amplifier OP20Output end pass through resistance R46With operational amplifier OP30Negative input end connection;
Operational amplifier OP24Output end pass through resistance R45With operational amplifier OP23Negative input end connection;
Operational amplifier OP23Output end pass through resistance R respectively44, resistance R43With operational amplifier OP23Negative input end, operation Amplifier OP20Positive input terminal connection;
The operational amplifier OP27Output end pass through resistance R51With operational amplifier OP26Negative input end connection;
Operational amplifier OP26Output end pass through resistance R respectively48, resistance R50With operational amplifier OP26Negative input end, operation Amplifier OP25Negative input end connection;
Operational amplifier OP25Negative input end pass through resistance R49With operational amplifier OP25Output end connection, operational amplifier OP25Output end pass through resistance R56, switch K2With operational amplifier OP30Negative input end connection;
Operational amplifier OP29Output end pass through resistance R55With operational amplifier OP28Negative input end connection;
Operational amplifier OP28Output end pass through resistance R respectively54, resistance R53With operational amplifier OP28Negative input end, operation Amplifier OP25Positive input terminal connection;
The operational amplifier OP34Output end pass through resistance R61With operational amplifier OP33Negative input end connection;
Operational amplifier OP33Output end pass through resistance R respectively58, resistance R60With operational amplifier OP33Negative input end, operation Amplifier OP32Negative input end connection;
Operational amplifier OP32Negative input end pass through resistance R59With operational amplifier OP32Output end connection, operational amplifier OP32Output end pass through resistance R66, switch K3With operational amplifier OP30Negative input end connection;
Operational amplifier OP36Output end pass through resistance R65With operational amplifier OP35Negative input end connection;
Operational amplifier OP35Output end pass through resistance R respectively64, resistance R63With operational amplifier OP35Negative input end, operation Amplifier OP32Positive input terminal connection;
The operational amplifier OP39Output end pass through resistance R71With operational amplifier OP38Negative input end connection;
Operational amplifier OP38Output end pass through resistance R respectively68, resistance R70With operational amplifier OP38Negative input end, operation Amplifier OP37Negative input end connection;
Operational amplifier OP37Negative input end pass through resistance R69With operational amplifier OP37Output end connection, operational amplifier OP37Output end pass through resistance R76, switch K4With operational amplifier OP30Negative input end connection;
Operational amplifier OP41Output end pass through resistance R75With operational amplifier OP40Negative input end connection;
Operational amplifier OP40Output end pass through resistance R respectively74, resistance R73With operational amplifier OP40Negative input end, operation Amplifier OP37Positive input terminal connection;
The operational amplifier OP30Negative input end pass through resistance R75With operational amplifier OP30Output end connection, operation puts Big device OP30Output end pass through resistance R78With operational amplifier OP31Negative input end connection;
Operational amplifier OP31Negative input end pass through resistance R79With operational amplifier OP31Output end connection;
Wherein OP21、OP23、OP26、OP28、OP33、OP35、OP38、OP40、OP30、OP31Negative input end ground connection, OP22、OP24、 OP27、OP29、OP34、OP36、OP39、OP41Negative input end and OP7、OP16Output end connection.
CN201610056125.5A 2016-01-27 2016-01-27 A kind of more wing chaos signal generators based on staircase waveform switching control Expired - Fee Related CN105790921B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201610056125.5A CN105790921B (en) 2016-01-27 2016-01-27 A kind of more wing chaos signal generators based on staircase waveform switching control

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201610056125.5A CN105790921B (en) 2016-01-27 2016-01-27 A kind of more wing chaos signal generators based on staircase waveform switching control

Publications (2)

Publication Number Publication Date
CN105790921A CN105790921A (en) 2016-07-20
CN105790921B true CN105790921B (en) 2018-09-28

Family

ID=56403374

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201610056125.5A Expired - Fee Related CN105790921B (en) 2016-01-27 2016-01-27 A kind of more wing chaos signal generators based on staircase waveform switching control

Country Status (1)

Country Link
CN (1) CN105790921B (en)

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107135063B (en) * 2017-07-07 2020-07-28 湘潭大学 Chaotic circuit for generating grid multi-wing hyperchaotic hidden attractor and implementation method
CN108599921B (en) * 2018-06-27 2023-11-03 佛山科学技术学院 Grid multi-scroll chaotic signal generator
CN109787744B (en) * 2019-01-25 2022-04-15 湘潭大学 Chaotic signal generator for realizing random switching of wing number based on FPGA (field programmable Gate array)

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1744487A (en) * 2005-10-19 2006-03-08 中国科学院数学与***科学研究院 A kind of fourth-order network multi ring surface chaos circuit and using method thereof
CN1747377A (en) * 2005-10-13 2006-03-15 中国科学院数学与***科学研究院 A kind of vortex chaos signal generator and using method thereof
CN102694643A (en) * 2012-04-27 2012-09-26 广东第二师范学院 Composite chaotic signal generator
CN103957098A (en) * 2014-04-14 2014-07-30 重庆邮电大学 Chaotic circuit for producing multiple butterfly-shaped attractors and implementation method
CN204559591U (en) * 2015-05-19 2015-08-12 哈尔滨理工大学 A kind of nine dimension chaotic analog circuit

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1747377A (en) * 2005-10-13 2006-03-15 中国科学院数学与***科学研究院 A kind of vortex chaos signal generator and using method thereof
CN1744487A (en) * 2005-10-19 2006-03-08 中国科学院数学与***科学研究院 A kind of fourth-order network multi ring surface chaos circuit and using method thereof
CN102694643A (en) * 2012-04-27 2012-09-26 广东第二师范学院 Composite chaotic signal generator
CN103957098A (en) * 2014-04-14 2014-07-30 重庆邮电大学 Chaotic circuit for producing multiple butterfly-shaped attractors and implementation method
CN204559591U (en) * 2015-05-19 2015-08-12 哈尔滨理工大学 A kind of nine dimension chaotic analog circuit

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
"几类多涡卷与多翅膀混沌***建模_控制及应用研究";张朝霞;《中国博士学位论文全文数据库基础科学辑》;20111015;全文 *

Also Published As

Publication number Publication date
CN105790921A (en) 2016-07-20

Similar Documents

Publication Publication Date Title
CN105790921B (en) A kind of more wing chaos signal generators based on staircase waveform switching control
CN102694643B (en) Composite chaotic signal generator
CN206042011U (en) Super chaotic signal generator of many wings of no equilibrium point
CN206042010U (en) Chaos circuit of net multiple wing
CN206595973U (en) A kind of pwm control circuit
CN105530083A (en) Voltage-controlled memristor chaotic circuit based on Wien bridge oscillator
CN109361503A (en) A kind of multiple scrolls circuit based on sawtooth wave Anti-control for chaos
CN105207771A (en) Double-scroll hidden Chua chaos attractor generation circuit based on single-piece current feedback operational amplifier
CN105846990A (en) Improved normative Chua's chaotic circuit
CN103051308B (en) Square wave and sawtooth wave generation circuit based on memristor
CN208971536U (en) A kind of multiple scrolls circuit based on sawtooth wave Anti-control for chaos
CN108768611A (en) A kind of fractional order memristor time-lag chaos circuit
CN206060782U (en) A kind of specular multiple wing hyperchaos signal generator
CN108737063B (en) A kind of three-dimensional autonomous memristor chaos circuit
CN205407839U (en) Super chaotic signal generator of many wings of net
CN206711075U (en) A kind of four-quadrant analog divider
CN111162895B (en) Multi-scroll chaotic signal generator based on cosine control
CN208572104U (en) A kind of hiding attractor chaos circuit with curve equation point
CN110958105B (en) Multi-scroll chaotic circuit based on time-lag function switching control
CN107026636A (en) The Waveform generating circuit of function signal generator
CN107124259A (en) A kind of simple Dendrolimus kikuchii chaotic oscillator
CN107623567B (en) Chaotic circuit with constant Lyapunov exponent spectra
CN207753729U (en) The voltage-controlled memristor Cai Shi chaos signal generators of five ranks
CN203474908U (en) High-frequency electrolysis signal plate circuit for preparing Brown gas by utilizing electrolysed water
CN106921483A (en) A kind of modified memristor Chua's chaotic circuit

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
TA01 Transfer of patent application right

Effective date of registration: 20170505

Address after: 528000 Jiangwan Road, Chancheng District, Guangdong, No. 18, No.

Applicant after: Foshan Science &. Technology College

Address before: 510303 No. 351 middle Xingang Road, Guangzhou, Guangdong, Haizhuqu District

Applicant before: Guangdong The Second Normal College

TA01 Transfer of patent application right
GR01 Patent grant
GR01 Patent grant
CF01 Termination of patent right due to non-payment of annual fee

Granted publication date: 20180928

Termination date: 20200127

CF01 Termination of patent right due to non-payment of annual fee