Chaotification of complex networks with impulsive control

Zhi Hong Guan; Feng Liu; Juan Li; Yan Wu Wang

doi:10.1063/1.4729136

Chaotification of complex networks with impulsive control

Zhi Hong Guan
, Feng Liu
, Juan Li
, Yan Wu Wang

Huazhong University of Science and Technology

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

This paper investigates the chaotification problem of complex dynamical networks (CDN) with impulsive control. Both the discrete and continuous cases are studied. The method is presented to drive all states of every node in CDN to chaos. The proposed impulsive control strategy is effective for both the originally stable and unstable CDN. The upper bound of the impulse intervals for originally stable networks is derived. Finally, the effectiveness of the theoretical results is verified by numerical examples.

Original language	English
Article number	023137
Journal	Chaos
Volume	22
Issue number	2
DOIs	https://doi.org/10.1063/1.4729136
State	Published - 4 Apr 2012

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title = "Chaotification of complex networks with impulsive control",

abstract = "This paper investigates the chaotification problem of complex dynamical networks (CDN) with impulsive control. Both the discrete and continuous cases are studied. The method is presented to drive all states of every node in CDN to chaos. The proposed impulsive control strategy is effective for both the originally stable and unstable CDN. The upper bound of the impulse intervals for originally stable networks is derived. Finally, the effectiveness of the theoretical results is verified by numerical examples.",

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AU - Liu, Feng

AU - Li, Juan

AU - Wang, Yan Wu

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N2 - This paper investigates the chaotification problem of complex dynamical networks (CDN) with impulsive control. Both the discrete and continuous cases are studied. The method is presented to drive all states of every node in CDN to chaos. The proposed impulsive control strategy is effective for both the originally stable and unstable CDN. The upper bound of the impulse intervals for originally stable networks is derived. Finally, the effectiveness of the theoretical results is verified by numerical examples.

AB - This paper investigates the chaotification problem of complex dynamical networks (CDN) with impulsive control. Both the discrete and continuous cases are studied. The method is presented to drive all states of every node in CDN to chaos. The proposed impulsive control strategy is effective for both the originally stable and unstable CDN. The upper bound of the impulse intervals for originally stable networks is derived. Finally, the effectiveness of the theoretical results is verified by numerical examples.

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Chaotification of complex networks with impulsive control

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