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SUPPRESSING CHAOS FOR SOME NONLINEAR OSCILLATORS

ANDREW Y. T. LEUNG

Department of Building and Construction, City University of Hong Kong, Hong Kong, China

Department of Mathematics, Shanghai University, Shanghai, 200436, P. R. China

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and

ZENGRONG LIU

Department of Building and Construction, City University of Hong Kong, Hong Kong, China

Department of Mathematics, Shanghai University, Shanghai, 200436, P. R. China

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https://doi.org/10.1142/S0218127404009922Cited by:17 (Source: Crossref)

Abstract

In this paper, a criteria of suppressing chaos for a kind of nonlinear oscillators is established by the theory of the strange attractor. The oscillators considered include Duffing, van der Pol, Duffing–van der Pol and pendulum. According to this criteria, we analyze the phase effect using two methods, one by adding the second external force term and the other by adding parametric excitation, both of which may be used to suppress chaos in the systems. Some examples are used to illustrate the validity of the criteria and the importance of phase effect in suppressing chaos.

Keywords:

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