Stochastic P-bifurcation in a bistable Van der Pol oscillator with fractional time-delay feedback under Gaussian white noise excitation

Stochastic P-bifurcation in a bistable Van der Pol oscillator with fractional time-delay feedback under Gaussian white noise excitation

Abstract The stochastic P-bifurcation behavior of a bistable Van der Pol system with fractional time-delay feedback under Gaussian white noise excitation is studied. Firstly, based on the minimal mean square error principle, the fractional derivative term is found to be equivalent to the linear comb...

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Bibliographic Details
Main Authors: Yajie Li, Zhiqiang Wu, Guoqi Zhang, Feng Wang, Yuancen Wang
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Advances in Difference Equations
Subjects:
Stochastic P-bifurcation
Fractional time-delay feedback
Gaussian white noise
Transition set
Monte Carlo simulation
Online Access:http://link.springer.com/article/10.1186/s13662-019-2356-1

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http://link.springer.com/article/10.1186/s13662-019-2356-1

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