CN108809620A - A kind of chemical oscillation chaos circuit - Google Patents
A kind of chemical oscillation chaos circuit Download PDFInfo
- Publication number
- CN108809620A CN108809620A CN201810461124.8A CN201810461124A CN108809620A CN 108809620 A CN108809620 A CN 108809620A CN 201810461124 A CN201810461124 A CN 201810461124A CN 108809620 A CN108809620 A CN 108809620A
- Authority
- CN
- China
- Prior art keywords
- resistance
- output end
- connect
- input
- analog multiplier
- 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.)
- Granted
Links
Classifications
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/001—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using chaotic signals
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L2209/00—Additional information or applications relating to cryptographic mechanisms or cryptographic arrangements for secret or secure communication H04L9/00
- H04L2209/12—Details relating to cryptographic hardware or logic circuitry
Landscapes
- Engineering & Computer Science (AREA)
- Computer Security & Cryptography (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- Oscillators With Electromechanical Resonators (AREA)
- Amplifiers (AREA)
Abstract
A kind of chemical oscillation chaos circuit, its first, second and third operational amplifier A 1, A2, A3 constitute linear inverting integrator, four, the five, the 6th operational amplifier As 4, A5, A6 constitute linear inverting amplifier, and the first, second and third operational amplifier A 1, A2, A3 output end are respectively chaotic signal output end X1, X2, X3；Inverting integrator A1 is connect with inverting integrator A4, the one the second the 4th analog multiplier M1, M2, M4 respectively；Inverting integrator A2 is connect with the second analog multiplier M2；Inverting integrator A3 is connect with the 6th operational amplifier A 6, third analog multiplier M3, the 4th analog multiplier M4；The present invention is chaos circuit, and the various waveforms, phasor and chaos that can export chemical oscillation chaos circuit develop curve, may be constructed chaotic secret communication system.
Description
Technical field
The invention belongs to nonlinear circuits, often claim chaos circuit, and in particular to a kind of chemical oscillation chaos circuit.
Background technology
Chemical oscillation chaos is a kind of very special chaos, therefore chemical oscillation chaos circuit is very valuable mixed
Ignorant circuit.Nineteen ninety-five, publishing house of China Science & Technology University published《Chaos divides shape and its application》And Chinese science in 1999
What publishing house of technology university published《Differential Equation Model and chaos》Chemical oscillation chaos system Modeling and Design is completed, but is not had
Chaos circuit is designed, this is the defect of the prior art, is the deficiency of existing chaos circuit technology.
Invention content
Present invention aim to address the deficiencies of the above problem, provide one kind and are multiplied by six operational amplifiers and four simulations
The chemical oscillation chaos circuit of musical instruments used in a Buddhist or Taoist mass composition, can export 3 oscillograms and 3 phasors, can export stable three ranks chemistry
Vibrate chaotic signal.
The technical solution adopted by the present invention to solve the technical problems is：Three-order chaos circuit, by six operational amplifiers,
Four analog multipliers and 20 resistance, three capacitances are constituted, three oscillograms of output and three two-dimentional phasors, described six
Operational amplifier and four analog multipliers, wherein：First operational amplifier (A1) inverting input and the 5th resistance (R5),
Six resistance (R6), seven resistance (R7), the 8th resistance (R8), the connection of the 9th resistance (R9), in-phase input end ground connection, inverting input
The first capacitance (C1), output end and 3rd resistor (R3), two inputs of the first analog multiplier M1 are connected between output end
One input terminal connection at end, an input terminal of the second analog multiplier M2, the 4th analog multiplier M4, output end is X1
Output end；Second operational amplifier (A2) inverting input is connect with twelfth resistor (R12), thirteenth resistor (R13), same to phase
Input end grounding connects the second capacitance (C2) in parallel and the 14th resistance (R14) between inverting input and output end, output
End is connect with an input terminal of the second analog multiplier M2, and output end is X2 output ends；Third operational amplifier (A3) is anti-
Phase input terminal and the 17th resistance (R17), the 18th resistance (R18), the 19th resistance (R19), the 20th resistance (R20) are even
It connects, in-phase input end ground connection connects third capacitance (C3), output end and the 15th resistance between inverting input and output end
(R15), the input terminal connection of two input terminals of third analog multiplier M3, the 4th analog multiplier M4, output end are
For X3 output ends；Four-operational amplifier (A4) inverting input is connect with 3rd resistor (R3), in-phase input end ground connection, reverse phase
The 4th resistance (R4) is connected between input terminal and output end, output end is connect with the 6th resistance (R6)；5th operational amplifier
(A5) inverting input is connect with the tenth resistance (R10), and in-phase input end ground connection connects the between inverting input and output end
11 resistance (R11), output end are connect with thirteenth resistor (R13)；6th operational amplifier (A6) inverting input and the tenth
Five resistance (R15) connect, and in-phase input end ground connection connects the 16th resistance (R16), output between inverting input and output end
End is connect with the 20th resistance (R20)；Two input terminals of first analog multiplier M1 are connect with X1 output ends, output end and
Seven resistance (R7) connect；Two input terminals of second analog multiplier M2 are connect with X1, X3 output end respectively, output end and the 8th
Resistance (R8), the connection of the tenth resistance (R10)；Two input terminals of third analog multiplier M3 are connect with X3 output ends, output end
It is connect with the 19th resistance (R19)；Two input terminals of 4th analog multiplier M2 are connect with X1, X3 output end respectively, output
End is connect with the 9th resistance (R9), the 18th resistance (R18).
2. chemical oscillation chaos circuit according to claim 1, it is characterized in that：7th resistance (R7), the 8th
Resistance (R8), the 9th resistance (R9), the 18th resistance (R18), the 19th resistance (R19) are variable resistance.
The beneficial effects of the invention are as follows：Can export tri- chaotic waves signals of X1, X2 and X3 and X1-X2, X1-X3 with
Tri- chaos phasors of X2-X3；Above-mentioned various chaotic signals can be shown on oscillograph；Pass through certain specific electrical resistances the such as the 7th
After resistance R7, the 8th resistance R8, the 18th resistance R18 are replaced by variable resistance, thus it is possible to vary various chaotic signals described above
Chaotic characteristic, the various curves of chemical oscillation chaos circuit can be shown on oscillograph, it is mixed that chemical oscillation can also be carried out
Various other experiments of ignorant circuit.The present invention is suitable for university's chaos education of science, experimental teaching and demonstration, scientific popularization is tested
Demonstration etc..
Description of the drawings
Fig. 1 is a kind of chemical oscillation chaos circuit schematic diagram；
Fig. 2 is a kind of chemical oscillation chaos circuit X1 oscillograms；
Fig. 3 is a kind of chemical oscillation chaos circuit X2 oscillograms；
Fig. 4 is a kind of chemical oscillation chaos circuit X3 oscillograms；
Fig. 5 is a kind of chemical oscillation chaos circuit X1-X2 outputs phasor；
Fig. 6 is a kind of chemical oscillation chaos circuit X1-X3 outputs phasor；
Fig. 7 is a kind of chemical oscillation chaos circuit X2-X3 outputs phasor.
Specific implementation mode
With reference to attached drawing 1, the embodiment of the present invention is three-order chaos circuit, by six operational amplifiers, four analog multipliers
It is constituted with 20 resistance, three capacitances, exports three oscillograms and three two-dimentional phasors, six operational amplifiers and four
A analog multiplier, wherein：First operational amplifier A, 1 inverting input and the 5th resistance R5, the 6th resistance R6, seven resistance R7,
8th resistance R8, the 9th resistance R9 connections, in-phase input end ground connection, connect the first capacitance between inverting input and output end
C1, an input of output end and 3rd resistor R3, two input terminals of the first analog multiplier M1, the second analog multiplier M2
One input terminal connection at end, the 4th analog multiplier M4, output end is X1 output ends；Second operational amplifier A2 reverse phases are defeated
Enter end to connect with twelfth resistor R12, thirteenth resistor R13, in-phase input end ground connection connects between inverting input and output end
The second capacitance C2 and the 14th resistance R14 in parallel are met, output end is connect with an input terminal of the second analog multiplier M2, defeated
Outlet is X2 output ends；3 inverting input of third operational amplifier A and the 17th resistance R17, the 18th resistance R18, the tenth
Nine resistance R19, the 20th resistance R20 connections, in-phase input end ground connection, connect third capacitance between inverting input and output end
One of C3, output end and the 15th resistance R15, two input terminals of third analog multiplier M3, the 4th analog multiplier M4
Input terminal connects, and output end is X3 output ends；Four-operational amplifier A4 inverting inputs are connect with 3rd resistor R3, same to phase
Input end grounding, connects the 4th resistance R4 between inverting input and output end, output end is connect with the 6th resistance R6；5th fortune
It calculates amplifier A5 inverting inputs to connect with the tenth resistance R10, in-phase input end ground connection connects between inverting input and output end
Eleventh resistor R11 is met, output end is connect with thirteenth resistor R13；6th operational amplifier A, 6 inverting input and the 15th
Resistance R15 connections, in-phase input end ground connection connect the 16th resistance R16, output end and the between inverting input and output end
20 resistance R20 connections；Two input terminals of first analog multiplier M1 are connect with X1 output ends, output end and the 7th resistance R7
Connection；Two input terminals of second analog multiplier M2 are connect with X1, X3 output end respectively, output end and the 8th resistance R8,
Ten resistance R10 connections；Two input terminals of third analog multiplier M3 are connect with X3 output ends, output end and the 19th resistance
R19 connections；Two input terminals of 4th analog multiplier M2 are connect with X1, X3 output end respectively, output end and the 9th resistance R9,
18th resistance R18 connections.
By X1 output ends in Fig. 1, X2 output ends are connected to oscilloscope signal input terminal with X3 output ends or computer is related
Interface can show the waveform of X1, X2 and X3, be observed using the phasor mode of oscillograph, X1 output ends waveform signal such as Fig. 2 institutes
Show, X2 output ends waveform signal as shown in figure 3, X3 output ends waveform signal as shown in figure 4, X1-X2 output end phasors signal such as
Shown in Fig. 5, X1-X3 output end phasor signals are as shown in fig. 6, X2-X3 output end phasor signals are as shown in Figure 7.By Fig. 2 to Fig. 7,
Demonstrate effectiveness of the invention.If the 7th resistance R7, the 8th resistance R8, the 9th resistance R9, the 18th resistance R18, the 19th
Resistance R19 is replaced by variable resistance, continuously changes resistance value, can observe the various curves of chaos differentiation, identical by two
Circuit can carry out the various experiments such as synchronization and the chaotic secret communication of chemical oscillation chaos circuit by appropriate connection.
The component parameter of the embodiment of the present invention is as follows：A1, A2, A3, A4, A5, A6 model TL082 or TL084, simulation
Multiplier M1, M2, M3, M4 model AD633CN, C1=C2=C3=0.01uF, R1=120k Ω, R2=R9=100 Ω, R3=
R4=R10=R11=R15=R16=10k Ω, R5=R12=200k Ω, R6=340 Ω, R7=R19=200 Ω, R8=R13=R18
=50 Ω, R14=1k Ω, R17=100k Ω, R20=610 Ω.
Claims (2)
1. a kind of chemical oscillation chaos circuit, it is characterized in that：Three-order chaos circuit is multiplied by six operational amplifiers, four simulations
Musical instruments used in a Buddhist or Taoist mass and 20 resistance, three capacitances are constituted, and export three oscillograms and three two-dimentional phasors, six operational amplifiers
With four analog multipliers, wherein：First operational amplifier (A1) inverting input and the 5th resistance (R5), the 6th resistance
(R6), seven resistance (R7), the 8th resistance (R8), the connection of the 9th resistance (R9), in-phase input end ground connection, inverting input and output
The first capacitance (C1), output end and 3rd resistor (R3), two input terminals, second of the first analog multiplier M1 are connected between end
The input terminal connection of an input terminal, the 4th analog multiplier M4 of analog multiplier M2, output end is X1 output ends；
Second operational amplifier (A2) inverting input is connect with twelfth resistor (R12), thirteenth resistor (R13), in-phase input end
Ground connection, connects the second capacitance (C2) in parallel and the 14th resistance (R14) between inverting input and output end, output end and the
An input terminal of two analog multiplier M2 connects, and output end is X2 output ends；Third operational amplifier (A3) anti-phase input
End is connect with the 17th resistance (R17), the 18th resistance (R18), the 19th resistance (R19), the 20th resistance (R20), same to phase
Input end grounding, connects third capacitance (C3) between inverting input and output end, output end and the 15th resistance (R15), the
The input terminal connection of two input terminals, the 4th analog multiplier M4 of three analog multiplier M3, output end are X3 outputs
End；Four-operational amplifier (A4) inverting input is connect with 3rd resistor (R3), in-phase input end ground connection, inverting input with
The 4th resistance (R4) is connected between output end, output end is connect with the 6th resistance (R6)；5th operational amplifier (A5) reverse phase is defeated
Enter end to connect with the tenth resistance (R10), in-phase input end ground connection connects eleventh resistor between inverting input and output end
(R11), output end is connect with thirteenth resistor (R13)；6th operational amplifier (A6) inverting input and the 15th resistance
(R15) it connects, in-phase input end ground connection connects the 16th resistance (R16), output end and the between inverting input and output end
20 resistance (R20) connect；Two input terminals of first analog multiplier M1 are connect with X1 output ends, output end and the 7th resistance
(R7) it connects；Two input terminals of second analog multiplier M2 are connect with X1, X3 output end respectively, output end and the 8th resistance
(R8), the tenth resistance (R10) connects；Two input terminals of third analog multiplier M3 are connect with X3 output ends, output end and
19 resistance (R19) connect；Two input terminals of 4th analog multiplier M2 are connect with X1, X3 output end respectively, output end with
9th resistance (R9), the connection of the 18th resistance (R18).
2. chemical oscillation chaos circuit according to claim 1, it is characterized in that：Seven resistance (R7), the 8th resistance
(R8), the 9th resistance (R9), the 18th resistance (R18), the 19th resistance (R19) are variable resistance.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810461124.8A CN108809620B (en) | 2018-04-28 | 2018-04-28 | Chemical oscillation chaotic circuit |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810461124.8A CN108809620B (en) | 2018-04-28 | 2018-04-28 | Chemical oscillation chaotic circuit |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN108809620A true CN108809620A (en) | 2018-11-13 |
| CN108809620B CN108809620B (en) | 2020-10-23 |
Family
ID=64092302
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201810461124.8A Active CN108809620B (en) | 2018-04-28 | 2018-04-28 | Chemical oscillation chaotic circuit |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN108809620B (en) |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN205123756U (en) * | 2015-10-27 | 2016-03-30 | 熊丽 | Chaos secret communication circuit of modified lorenz |
| CN105610573A (en) * | 2016-03-10 | 2016-05-25 | 河西学院 | Lorentz 10+4 chaotic secret communication circuit |
| CN105634726A (en) * | 2016-03-10 | 2016-06-01 | 河西学院 | Three-order Lorenz 4 + 2 type chaotic circuit |
| CN205596128U (en) * | 2016-03-10 | 2016-09-21 | 河西学院 | Chaos secret communication circuit of class lorentzen 10+4 type |
| US20170317712A1 (en) * | 2016-04-28 | 2017-11-02 | Raytheon Company | Rate line suppression using chaotic spreading codes |
-
2018
- 2018-04-28 CN CN201810461124.8A patent/CN108809620B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN205123756U (en) * | 2015-10-27 | 2016-03-30 | 熊丽 | Chaos secret communication circuit of modified lorenz |
| CN105610573A (en) * | 2016-03-10 | 2016-05-25 | 河西学院 | Lorentz 10+4 chaotic secret communication circuit |
| CN105634726A (en) * | 2016-03-10 | 2016-06-01 | 河西学院 | Three-order Lorenz 4 + 2 type chaotic circuit |
| CN205596128U (en) * | 2016-03-10 | 2016-09-21 | 河西学院 | Chaos secret communication circuit of class lorentzen 10+4 type |
| US20170317712A1 (en) * | 2016-04-28 | 2017-11-02 | Raytheon Company | Rate line suppression using chaotic spreading codes |
Non-Patent Citations (2)
| Title |
|---|
| 张国新等: ""蔡氏电路的功能全同电路与拓扑等效电路及其设计方法"", 《物理学报》 * |
| 张琳琳: ""基于忆阻器的新型四阶混沌电路的设计、分析与实现"", 《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN108809620B (en) | 2020-10-23 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN101373563B (en) | Lorentz chaos circuit | |
| CN102663496B (en) | Four-order neural-network hyper-chaotic circuit | |
| CN108667597A (en) | A kind of three rank class Lorentz 3+2 type circuits | |
| CN105634726B (en) | Three rank class Lorentz 4+2 type chaos circuits | |
| CN108418674A (en) | A kind of five dimension chaos circuits containing series connection memristor | |
| CN103872986B (en) | A kind of Duffing van der Pol oscillating circuits based on memristor | |
| CN105591735B (en) | Quadravalence class Lorentz 5+2 type hyperchaotic circuits | |
| CN108809620A (en) | A kind of chemical oscillation chaos circuit | |
| CN204166775U (en) | Biousse banding pattern cell neural network chaos circuit is bought on three rank | |
| CN209543699U (en) | A kind of three rank class Lorentz 3+2 type chaos circuits | |
| CN109215458A (en) | A kind of three rank class Lorentz 3+2 type chaos circuits | |
| CN108806427A (en) | Memristor chaos circuit based on cai's circuit | |
| CN101441830B (en) | Left inclination double-eddies chaos circuit | |
| CN209046656U (en) | A kind of three rank Hysteretic nonlinearity chaos circuits | |
| CN104468088B (en) | Quadravalence six plus the wing hyperchaotic circuit of three formula eight | |
| CN206759473U (en) | A kind of four scroll chaotic circuits of two dimension | |
| CN104376764B (en) | The double vortex type cell neural network hyperchaotic circuit in three rank | |
| CN204168304U (en) | A kind of five rank hyperchaotic circuits exporting graceful phasor | |
| CN208335572U (en) | The three non-linear cai's circuits of rank asinh | |
| CN204681394U (en) | A kind of can three rank JERK chaos circuits combinations of translation type | |
| CN204166776U (en) | The two vortex type cell neural network hyperchaotic circuit in three rank | |
| CN205596129U (en) | Chaos circuit of third -order on class lorentzen 4+2 type | |
| CN104361799B (en) | Biousse banding pattern cell neural network chaos circuit is bought on three rank | |
| CN204166777U (en) | Quadravalence buys biousse banding pattern cell neural network chaos circuit | |
| CN208189067U (en) | The double normal cone attractor chaos circuits of three ranks |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| TR01 | Transfer of patent right |
Effective date of registration: 20221101 Address after: 230000 Woye Garden Commercial Building B-1017, 81 Ganquan Road, Shushan District, Hefei City, Anhui Province Patentee after: HEFEI JINGLONG ENVIRONMENTAL PROTECTION TECHNOLOGY Co.,Ltd. Address before: Hexi University, No. 846, Huancheng North Road, Ganzhou District, Zhangye City, Gansu Province, 734000 Patentee before: HEXI University |
|
| TR01 | Transfer of patent right |