A SUFFICIENT CONDITION FOR BIFURCATION IN RANDOM DYNAMICAL SYSTEMS

作者：Chen, Xiaopeng^*; Duan, Jinqiao; Fu, Xinchu

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138(3): 965-973.

DOI：10.1090/S0002-9939-09-10093-X

• Random dynamical systems
• discrete-time and continuous-time dynamical systems
• random homeomorphism
• Conley index
• abstract bifurcation point

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 coutinuous-time random dynamical systems is presented. This stochastic bifurcation phenomenon is demonstrated by a few examples.

• 出版日期2010-3
• 单位上海大学; 华中科技大学