A sufficient condition for bifurcation in random dynamical systems

DOI10.1090/S0002-9939-09-10093-XzbMath1196.37091arXiv0912.2487MaRDI QIDQ3550571

Xiao-Peng Chen, Xin-Chu Fu, Jin-qiao Duan

Publication date: 31 March 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2487

zbMATH Keywords

random dynamical systemsConley indexrandom homeomorphismabstract bifurcation pointdiscrete-time and continuous-time dynamical systems

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Index theory for dynamical systems, Morse-Conley indices (37B30) Bifurcation theory for random and stochastic dynamical systems (37H20)

Related Items (4)

On gradient-like random dynamical systems ⋮ Bifurcation in most probable phase portraits for a bistable kinetic model with coupling Gaussian and non-Gaussian noises ⋮ A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits ⋮ Bifurcation in Mean Phase Portraits for Stochastic Dynamical Systems with Multiplicative Gaussian Noise

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