On a functional lasalle principle with application to chaos synchronization

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)4253-4261
Journal / PublicationInternational Journal of Bifurcation and Chaos
Volume19
Issue number12
Publication statusPublished - Dec 2009

Abstract

A functional version of the LaSalle invariance principle is introduced. Rather than the usual pointwise Lyapunov-like functions, this extended version of the principle uses specially constructed functionals along system trajectories. This modification enables the original principle to handle not only autonomous, but also some nonautonomous systems. The new theoretical result is used to study robust synchronization of general Liénard-type nonlinear systems. The new technique is finally applied to coupled chaotic van der Pol oscillators to achieve synchronization. Numerical simulation is included to demonstrate the effectiveness of the proposed methodology. © 2009 World Scientific Publishing Company.

Research Area(s)

  • Chaos synchronization, LaSalle invariance principle, Liénard equation, Lyapunov functional, Nonautonomous dynamical system, Van der Pol oscillator

Citation Format(s)

On a functional lasalle principle with application to chaos synchronization. / Chen, Guanrong; Čelikovský, Sergej; Zhou, Jin.

In: International Journal of Bifurcation and Chaos, Vol. 19, No. 12, 12.2009, p. 4253-4261.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review