Chaotification of complex networks with impulsive control

被引：21

作者：

Guan, Zhi-Hong ^{[1
]}

Liu, Feng ^{[1
]}

Li, Juan ^{[1
]}

Wang, Yan-Wu ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

来源：

CHAOS | 2012年 / 22卷 / 02期

基金：

中国国家自然科学基金;

关键词：

DYNAMICAL NETWORKS; ADAPTIVE-CONTROL; CHAOS; SYSTEMS; SYNCHRONIZATION; TRANSITION; STABILITY; CHANNELS;

D O I：

10.1063/1.4729136

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4729136]

引用

页数：5

共 27 条

[1] Bifurcation control of two nonlinear models of cardiac activity [J].

Brandt, ME ;

Chen, GR .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1997, 44 (10) :1031-1034

[2] Chaotifying a continuous-time system near a stable limit cycle [J].

Chen, GR ;

Yang, L .

CHAOS SOLITONS & FRACTALS, 2003, 15 (02) :245-253

[3] Controlling bifurcationand chaos in Internet congestion control model [J].

Chen, L ;

Wang, XF ;

Han, ZZ .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (05) :1863-1876

[4] Stability of synchronous chaos and on-off intermittency in coupled map lattices [J].

Ding, MZ ;

Yang, WM .

PHYSICAL REVIEW E, 1997, 56 (04) :4009-4016

[5] Dynamics of large scale coupled structural mechanical systems: A singular perturbation proper orthogonal decomposition approach [J].

Georgiou, IT ;

Schwartz, IB .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1999, 59 (04) :1178-1207

[6] A hybrid impulsive and switching control strategy for synchronization of nonlinear systems and application to Chua's chaotic circuit [J].

Guan, ZH ;

Hill, DJ ;

Yao, J .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (01) :229-238

[7] On impulsive control and its application to Chen's chaotic system [J].

Guan, ZH ;

Liao, RQ ;

Zhou, F ;

Wang, HO .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (05) :1191-1197

[8] Generating chaos for discrete time-delayed systems via impulsive control [J].

Guan, Zhi-Hong ;

Liu, Na .

CHAOS, 2010, 20 (01)

[9] Chaos communication over noisy channels [J].

Hasler, M ;

Schimming, T .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (04) :719-735

[10] Chaotic modulation for robust digital communications over multipath channels [J].

Kennedy, MP ;

Kolumbán, G ;

Kis, G .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2000, 10 (04) :695-718

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