Delay-induced stochastic bifurcations in a bistable system under white noise

In this paper, the effects of noise and time delay on stochastic bifurcations are investigated theoretically and numerically in a time-delayed Duffing-Van der Pol oscillator subjected to white noise. Due to the time delay, the random response is not Markovian. Thereby, approximate methods have been...

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Veröffentlicht in:	Chaos (Woodbury, N.Y.) N.Y.), 2015-08, Vol.25 (8), p.083102-083102
Hauptverfasser:	Sun, Zhongkui, Fu, Jin, Xiao, Yuzhu, Xu, Wei
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation BIFURCATION Bifurcation theory CHAPMAN-KOLMOGOROV EQUATION CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Computer simulation COMPUTERIZED SIMULATION Delay Economic models FEEDBACK FOKKER-PLANCK EQUATION MARKOV PROCESS Markov processes NOISE Noise intensity OSCILLATORS PROBABILITY DENSITY FUNCTIONS Probability theory Qualitative analysis RANDOMNESS TIME DELAY Time dependence Time lag White noise
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