A sufficient condition for bifurcation in random dynamical systems

Chen, Xiaopeng; Duan, Jinqiao; Fu, Xinchu

doi:10.1090/S0002-9939-09-10093-X

A sufficient condition for bifurcation in random dynamical systems
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by Xiaopeng Chen, Jinqiao Duan and Xinchu Fu PDF

Proc. Amer. Math. Soc. 138 (2010), 965-973 Request permission

Abstract:

Some properties of the 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.

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