Clustering synchronization of complex networks based on community partitioning for pinning node selection

Abstract

The invention provides a clustering synchronization of complex networks based on community partitioning for pinning node selection, which relates to the technical field of complex network and nonlinear control. Firstly, a complex network of N nodes composed of m community sub-networks is constructed, and the synchronization manifold of the complex network is set up to obtain the synchronization error of each community sub-network node. Then the pinning nodes of each community in the complex network are selected and a negative feedback controller is applied to the pinning nodes to obtain the synchronization error system of the controlled complex network. Finally, the Lyapunov function is designed for the synchronization error system, which proves that the complex network can achieve clustering synchronization. The invention provides a method for selecting a pinning node of complex network clustering synchronization based on community division, which has better synchronization effect, shorter synchronization time, relatively dispersed pinning node position and smaller pinning action range.

Description

technical field [0001] The invention relates to the technical field of complex networks and nonlinear control, in particular to a method for selecting pinning nodes based on clustering synchronization of complex networks based on community division. Background technique [0002] Complex network has been involved in many fields such as physics, biology, chemistry, engineering technology and so on after the development in recent years. Synchronization is one of the important nonlinear dynamic behaviors. Its most direct application directions in engineering include chaotic secure communication, robot queuing control, and traffic congestion relief. Taking chaotic secure communication as an example, each endpoint can be abstracted as a complex network node. The sending data end is composed of an encoding function and a chaotic system, and the receiving end is also composed of a decoding function and a chaotic system. By designing the controller , to realize the synchronization o...

AI Technical Summary

Problems solved by technology

Aiming at the problem of complex network clustering synchronization, most of the current research is on the third problem, and the distribution position of pinning nodes is rarely considered. Most of them directly follow the control scheme of selecting pinning outer nodes proposed by Wang and Ma et al. Too many or too few nodes This pinning scheme has great limitations

At the same time, the influence of community structure on the selection strategy of network clustering synchronous pinning nodes, and the problem of overlap and waste of pinning node scopes are rarely studied.

Images