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A Synchronous Control Method of Complex Network and Its Application in Image Encryption

A complex network, synchronous control technology, applied to the synchronous control device of the complex network, the synchronous control of the complex network, the application field of the complex network in the image encryption, can solve the problem of inability to apply, poor synchronization, and difficult to realize the complex projection synchronization of the complex network. And other issues

Active Publication Date: 2022-04-08
ANHUI UNIVERSITY
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0006] Aiming at the problems of poor synchronization of complex networks in the prior art, complex projection synchronization of complex networks is difficult to realize, and cannot be applied in image encryption, the present invention provides a synchronization control method of complex networks and its application in image encryption

Method used

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  • A Synchronous Control Method of Complex Network and Its Application in Image Encryption

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Embodiment 1

[0101] Such as figure 1 As shown, this embodiment provides a synchronization control method for an n-dimensional fractional time-varying coupling complex network, and the synchronization control method is used to realize that each node in the n-dimensional fractional time-varying coupling complex network and the node in the target synchronization state reach Synchronization, the synchronization method includes the steps:

[0102] Step S1: According to the target synchronization state to be achieved by the n-dimensional fractional time-varying coupling complex network, an equation representing the target synchronization state is established.

[0103] Step S2: Design the synchronous controller u k (t), synchronous controller u k The design method of (t) comprises steps:

[0104] Step S21: Define the projection synchronization error e k (t), characterizing the projection synchronization error e k The equation for (t) is:

[0105] e k (t)=x k (t)-vη(t),k=1,2,...,N

[0106...

Embodiment 2

[0126] On the basis of the method in Embodiment 1, this embodiment further provides a method for constructing an n-dimensional fractional time-varying coupling complex network, and the constructed n-dimensional fractional time-varying coupling complex network can realize the state and target of each node Synchronization in the synchronization node state, the construction method is as follows:

[0127] Step S1: Construct a model of an n-dimensional fractional time-varying coupling complex network consisting of N nodes, the model is:

[0128]

[0129] Among them, 0k (t)=(x k1 (t), xk2 (t),...,x kn (t)) T ∈C n is the state variable of the kth node;

[0130] Γ=diag(l 1 , l 2 ,...,l n )>0 means the internal coupling connection matrix, f(x k (t))∈C n means with x k (t) related nonlinear vector function; c(t) represents the time-varying coupling strength, and its value changes with the system state; A=diag(a 1 ,a 2 ,...,a n ) represents a parameter matrix, g kj Repre...

Embodiment 3

[0153] This embodiment mainly includes two contents:

[0154] One is to theoretically prove the validity of the synchronization method for the n-dimensional fractional time-varying coupling complex network provided in the first embodiment.

[0155] The second is to verify that the state of each node in the n-dimensional fractional time-varying coupling complex network constructed in embodiment 2 can be synchronized with the state of the target synchronization node by means of numerical simulation.

[0156] (theoretical proof and simulation experiments are not used to limit the present invention, in other embodiments, simulation experiments may not be carried out, and other experimental schemes may also be used for testing.)

[0157] 1. Theoretical Proof

[0158] The proof process is as follows:

[0159] According to the model of the n-dimensional fractional time-varying coupled complex network in this embodiment, the following Lyapunov function is constructed,

[0160]

...

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Abstract

The invention belongs to the field of nonlinear power system, and in particular relates to a synchronous control method of complex network and its application in image encryption. The synchronization method includes the following steps: Step S1: According to the target synchronization state that the n-dimensional fractional time-varying coupling complex network needs to achieve, establish an equation that characterizes the target synchronization state; Step S2: Design a synchronization controller, and the method is subdivided into: Step S21: Define the error of projection synchronization; step S22: design an adaptive controller according to the error equation of projection synchronization; step S23: design the adaptive coupling strength; step S3: use the designed adaptive coupling strength to compare the coupling strength in the complex network model Make adjustments and introduce synchronous controllers into each node of the complex network. The invention can realize the synchronization between each node and the synchronization target in the complex network, solve the problem that the synchronization cannot be performed or the synchronization is easily interrupted due to the coupling effect between the nodes, and based on this, the encryption and decryption processing of the image can be realized.

Description

technical field [0001] The invention belongs to the field of nonlinear dynamic systems, and in particular relates to a synchronous control method for a complex network, a method for constructing a complex network, a synchronous control device for a complex network, a synchronous control terminal for a complex network, and a complex Applications of Networks in Image Encryption. Background technique [0002] Complex network is a modeling tool that can effectively describe the World Wide Web, epidemic transmission network, genetic network, communication network, neural network, biological network, etc. Complex networks usually consist of many interconnected nodes, each with complex dynamic behavior. At the same time, the dynamic characteristics of complex networks are more complex due to the interactions between nodes. Since complex networks are widely used in practical scenarios, their dynamic behavior has attracted the attention of researchers. At present, there are many s...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 张红伟赵安祥朱世豪徐胜涛陈静丁大为
Owner ANHUI UNIVERSITY
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