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Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

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Chaotification of complex networks with impulsive control.

Zhi-Hong Guan¹, Feng Liu, Juan Li

¹Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China. zhguan@mail.hust.edu.cn

Chaos (Woodbury, N.Y.)

|July 5, 2012

Summary

This summary is machine-generated.

This study introduces a method to induce chaos in complex dynamical networks (CDN) using impulsive control. The strategy effectively drives network nodes to chaotic states, applicable to both stable and unstable systems.

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Area of Science:

Control Theory
Dynamical Systems
Network Science

Background:

Complex dynamical networks (CDN) exhibit intricate behaviors.
Controlling states in large-scale networks is a significant challenge.
Chaotification is a process to induce chaotic dynamics.

Purpose of the Study:

To investigate the chaotification problem in complex dynamical networks.
To develop an impulsive control strategy for inducing chaos.
To analyze the effectiveness for both discrete and continuous CDN.

Main Methods:

Impulsive control strategy applied to CDN.
Analysis of both discrete and continuous network models.
Derivation of the upper bound for impulse intervals in stable networks.

Main Results:

A method is presented to drive all states of every node in CDN to chaos.
The impulsive control strategy is effective for both initially stable and unstable CDN.
The upper bound of impulse intervals for originally stable networks was successfully derived.

Conclusions:

The proposed impulsive control method effectively achieves chaotification in complex dynamical networks.
The strategy is robust, working for both stable and unstable networks.
Theoretical findings are validated through numerical simulations.