A sufficient condition for bifurcation in random dynamical systems-Reference-Cited by-同舟云学术

A sufficient condition for bifurcation in random dynamical systems

Published:2009-10-19 Issue:3 Volume:138 Page:965-973
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chen Xiaopeng,Duan Jinqiao,Fu Xinchu

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2010-138-03/S0002-9939-09-10093-X/S0002-9939-09-10093-X.pdf

Reference14 articles.

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3. Lecture Notes in Mathematics;Chueshov, Igor,2002

4. CBMS Regional Conference Series in Mathematics;Conley, Charles,1978

5. Shift equivalence and the Conley index;Franks, John;Trans. Amer. Math. Soc.,2000

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