A sufficient condition for bifurcation in random dynamical systems

2009/12/13 by Xiaopeng Chen, Chen, Xiaopeng, Jinqiao Duan +3
Engineering · Mathematics · Physics and Astronomy · #37B30 #37H20 #60H10 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.0912.2487

openalex publication_date 2009/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some properties of random Conley index are obtained and then a sufficient condition for the existence of abstract bifurcation points for both discrete-time and continuous-time random dynamical systems is presented. This stochastic bifurcation phenomenon is demonstrated by a few examples.

Citations

• Random dynamical systems

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