Synchronization method of two chaotic system circuits based on memristor

A chaotic system circuit and chaotic synchronization technology, which is applied in transmission systems, digital transmission systems, and secure communications through chaotic signals, can solve problems such as high impedance matching requirements, large circuit interference, and difficult chaotic data secure communications.

Active Publication Date: 2020-01-31
HUAZHONG NORMAL UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0003]The chaotic synchronization of resistive coupling requires high impedance matching, so it is difficult to realize the secure communication of chaotic data over a long time and long distance
Moreover, it is difficult to derive the designed system state variable and its differential value in the actual circuit. Most scholars carry out the synchronous control design after modularizing the system according to the state equation of the designed synchronous system. Although it can be realized, it will increase Reduced cost and large circuit interference

Method used

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  • Synchronization method of two chaotic system circuits based on memristor
  • Synchronization method of two chaotic system circuits based on memristor
  • Synchronization method of two chaotic system circuits based on memristor

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Embodiment Construction

[0043] In the following, the present invention will be further described and demonstrated in detail through the following specific implementation manners in conjunction with the accompanying drawings of the present invention.

[0044] Step 1: The present invention is constructed based on a cubic memristor, and its model is:

[0045]

[0046] Among them, a and b parameters are selected as a=-0.667×10 -3 , b=0.029×10 -3 , q represents the amount of charge passing through the memristor, Represents the magnetic flux of the memristor's magnetic field.

[0047] Construct a first-order 4D nonlinear dynamical chaotic system:

[0048]

[0049] where x 1 ,x 2 ,x 3 and x4 is the state variable, and α, β, γ, δ, ε and ζ are coefficients.

[0050] Combining circuit principles to construct a first-order four-dimensional chaotic circuit such as figure 1 As shown, its circuit mathematical model is as follows:

[0051]

[0052]

[0053] where V 1 is the capacitance C 3 V...

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Abstract

The invention relates to a synchronization method of two chaotic systems based on a memristor, and belongs to the field of nonlinear dynamics control. The method comprises: based on a cubic memristormodel and a chaos synchronization theory, designing a first-order four-dimensional chaos driving system and a response system, constructing a controller to control synchronization of the chaos response system, and forming a chaos synchronization system based on a memristor; then, according to a circuit principle, designing a corresponding circuit model through system conversion, and overlapping anactual circuit; through circuit test analysis and comparison, after a designed controller is added, the driving system and the response system being synchronous and consistent with a theoretical result; and finally, designing and analyzing chaotic secret communication to basically realize encrypted communication of signals. The chaotic synchronization system is simple in structure, stable and reliable in circuit implementation and obvious in controller effect, and the synchronization system and the circuit design method can be widely applied to the field of nonlinear dynamics control and datasignal safety communication.

Description

technical field [0001] The invention belongs to the field of nonlinear dynamic control, which includes a memristor model, a chaotic synchronous system model and a corresponding synchronous circuit design, etc., and particularly provides a method for synchronizing two chaotic system circuits based on a memristor. Background technique [0002] The use of chaos synchronization to realize data security communication is a key topic in the field of nonlinear dynamics in recent years. It is difficult to carry out corresponding circuit design. Therefore, the present invention improves the shortcomings of the traditional chaotic synchronization system, and designs a synchronization method for two chaotic systems based on the cubic memristor model and the chaotic synchronization theory. And according to this method, a chaotic synchronization system based on memristor is constructed. Finally, the design of the corresponding synchronous circuit is carried out through the principle of ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
CPCH04L9/001H04L2209/12
Inventor 瞿少成陈尧罗静徐托万洪波
Owner HUAZHONG NORMAL UNIV
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