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Identification for Chaos and Subharmonic Responses in Coupled Forced Duffing's Oscillators

Published online by Cambridge University Press:  31 March 2011

J.-D. Jeng ,
Y. Kang  and
Y.-P. Chang
J.-D. Jeng
Affiliation:
Department of Mechanical Engineering, National United University, Miaoli, Taiwan 36003, R.O.C.
Y. Kang*
Affiliation:
Department of Mechanical Engineering, Chung Yuan Christian University, Chungli, Taiwan 32023, R.O.C.
Y.-P. Chang
Affiliation:
Department of Mechanical Engineering, Chung Yuan Christian University, Chungli, Taiwan 32023, R.O.C.
*
**Professor, corresponding author
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Abstract

In this paper, a response integral quantity method is proposed. This technique provides a quantitative characterization of system responses and can assist the role of the traditional stroboscopic technique (Poincaré section method) in observing bifurcations and chaos of the nonlinear oscillators. We numerically analyze and identify the chaos and subharmonic responses in the forced coupled Duffing's oscillators in which we find that chaotic behaviors and high-order subharmonic responses exist. Due to the signal response contamination of system, it is difficult to identify the high-order responses of the subharmonic motion because of the sampling points on Poincaré map being very close to each other. Even the system responses are subject to misjudgments. The simulation results, however, show that the highorder subharmonic and chaotic responses and their bifurcations can be observed effectively.

Keywords

Response integral quantity methodPoincaré section methodForced coupled Duffing's oscillatorsSubharmonic response
Type
Articles
Information
Journal of Mechanics , Volume 27 , Issue 1 , March 2011 , pp. 139 - 147
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2011

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References

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