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arxiv: 0912.2487 · v1 · submitted 2009-12-13 · 🧮 math.DS · math.PR

A sufficient condition for bifurcation in random dynamical systems

classification 🧮 math.DS math.PR
keywords bifurcationrandomconditiondynamicalsufficientsystemsabstractconley
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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.

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