Analysis of bifurcation and chaos in double-well Duffing system via Laguerre polynomial approximation

Shao Juan Ma, Wei Xu, Wei Li

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14 引用 (Scopus)

摘要

Laguerre polynomial approximation method is applied to study the period-doubling bifurcation and chaos behavior in double-well Duffing system with a random parameter subjected to harmonic excitation. Firstly the stochastic system is reduced to its equivalent deterministic counterpart, through which the response of the stochastic system can be obtained by numerical methods. Then bifurcation and chaos in the stochastic double-well Duffing system is explored. Numerical simulations show that the nonlinear dynamical behavior is similar to their counterpart in deterministic nonlinear system such as period-doubling bifurcation, but in some local areas they are shown to have their specific features.

源语言英语
页(从-至)4013-4019
页数7
期刊Wuli Xuebao/Acta Physica Sinica
55
8
DOI
出版状态已出版 - 8月 2006

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