A sufficient condition for bifurcation in random dynamical systems
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- by Xiaopeng Chen, Jinqiao Duan and Xinchu Fu PDF
- Proc. Amer. Math. Soc. 138 (2010), 965-973 Request permission
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.References
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Additional Information
- Xiaopeng Chen
- Affiliation: School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
- Email: chenxiao002214336@yahoo.cn
- Jinqiao Duan
- Affiliation: Department of Applied Mathematics, Illinois Institute of Technology, Chicago, Illinois 60616
- Email: duan@iit.edu
- Xinchu Fu
- Affiliation: Department of Mathematics, Shanghai University, Shanghai 200444, People’s Republic of China
- Email: xcfu@shu.edu.cn
- Received by editor(s): April 19, 2009
- Received by editor(s) in revised form: June 24, 2009
- Published electronically: October 19, 2009
- Additional Notes: The first author would like to thank Zhenxin Liu for helpful comments.
The second author was supported in part by NSF Grant 0620539, the Cheung Kong Scholars Program and the K. C. Wong Education Foundation.
The third author was supported in part by NSFC Grant 10672146. - Communicated by: Yingfei Yi
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 965-973
- MSC (2000): Primary 37H20, 37B30, 60H10
- DOI: https://doi.org/10.1090/S0002-9939-09-10093-X
- MathSciNet review: 2566563