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Synchronization domain bifurcation analysis method for time-delay coupling network system under containment control

A technology of pinning control and coupling network, applied in the field of synchronous domain bifurcation analysis of time-delay coupled network system, can solve the problem of not considering synchronous domain bifurcation behavior, etc., and achieve the effect of enriching practical value

Pending Publication Date: 2021-10-01
东北大学秦皇岛分校
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Problems solved by technology

In addition, most of the existing studies on synchronization domains in complex networks have not considered the bifurcation behavior of synchronization domains when the dynamic parameters of a single node change

Method used

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  • Synchronization domain bifurcation analysis method for time-delay coupling network system under containment control
  • Synchronization domain bifurcation analysis method for time-delay coupling network system under containment control
  • Synchronization domain bifurcation analysis method for time-delay coupling network system under containment control

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Embodiment Construction

[0024] The specific implementation manners of the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. The following examples are used to illustrate the present invention, but are not intended to limit the scope of the present invention.

[0025] A bifurcation analysis method in the synchronization domain of a time-delay coupled network system under pinned control, such as figure 1 shown, including the following steps:

[0026] Step 1: Construct a pinned-controlled time-delay coupled network system with N nodes, and the dynamic equation of the i-th node is expressed as:

[0027]

[0028] in, Represents the state variable of the i-th node, n represents the dimension of a single node, x ij (t),j=1,2,...,n represents the jth component of the state of the i-th node, Indicates the first-order derivative of the state of the i-th node with respect to time t; F(·) represents the self-dynamic function of a s...

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Abstract

The invention provides a synchronization domain bifurcation analysis method for a time-delay coupling network system under containment control, and relates to the technical field of complex network synchronization control. According to the method, a main stability function method is utilized, the main stability function of the pinned and controlled coupling time-delay network is analyzed, and the bifurcation behavior of the synchronization domain of the pinned and controlled coupling time-delay network is analyzed on the basis of the main stability function. The method can be applied to an electric power system, the Internet, a neural network, a traffic network, a world-wide-web and the like, can also solve the problems existing in various fields in social practice, and brings convenience to daily life of people. Therefore, the method not only has profound theoretical value for the research of the complex network synchronization domain, but also has rich practical value.

Description

technical field [0001] The invention relates to the technical field of complex network synchronous control, in particular to a bifurcation analysis method of a synchronous domain of a time-delay coupled network system subject to pinned control. Background technique [0002] In today's society, complex networks are closely related to our lives, such as the Internet, transportation networks, power systems, etc. Therefore, the research on complex networks has attracted extensive attention from scholars at home and abroad in recent years. Synchronization of complex networks is one of the important research directions. Among them, the synchronous pinning control of a complex network refers to controlling only a few nodes by designing a suitable controller so that all nodes in the network can reach the target state. The pinning control strategy can reduce the control cost of complex networks and improve economic benefits, and has high theoretical and application value. [0003] ...

Claims

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 项林英朵兰陈飞
Owner 东北大学秦皇岛分校
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