English

A sufficient condition for bifurcation in random dynamical systems

Dynamical Systems 2009-12-15 v1 Probability

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.

Keywords

Cite

@article{arxiv.0912.2487,
  title  = {A sufficient condition for bifurcation in random dynamical systems},
  author = {Xiaopeng Chen and Jinqiao Duan and Xinchu Fu},
  journal= {arXiv preprint arXiv:0912.2487},
  year   = {2009}
}

Comments

9pages

R2 v1 2026-06-21T14:23:13.288Z