Period-doubling bifurcation in an extended van der Pol system with bounded random parameter

An extended van der Pol system with bounded random parameter subjected to harmonic excitation is investigated by Chebyshev polynomial approximation. Firstly the stochastic extended van der Pol system is reduced into its equivalent deterministic one, solvable by suitable numerical methods. Then we ex...

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Veröffentlicht in:	Communications in nonlinear science & numerical simulation 2008-12, Vol.13 (10), p.2256-2265
Hauptverfasser:	Ma, Shaojuan, Xu, Wei
Format:	Artikel
Sprache:	eng
Schlagworte:	Arch-like probability density function Chebyshev polynomial approximation Extended van der Pol system Period-doubling bifurcation
Online-Zugang:	Volltext
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