arXiv:0912.2487 Abstract | arXiv Analytics

arXiv:0912.2487 [math.DS]Abstract References Reviews Resources

A sufficient condition for bifurcation in random dynamical systems

Published 2009-12-13Version 1

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.

Comments: 9pages

Categories: math.DS, math.PR

Subjects: 37H20, 37B30, 60H10

Keywords: sufficient condition, random conley index, continuous-time random dynamical systems, stochastic bifurcation phenomenon, abstract bifurcation points

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