A new proof for the Hartman-Grobman theorem for random dynamical systems
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- by Junyilang Zhao and Jun Shen PDF
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Abstract:
In this paper, we give a new and quick proof for the Hartman-Grobman theorem for random dynamical systems. This approach does not involve any previously proved existence of the stable and unstable manifolds.References
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Additional Information
- Junyilang Zhao
- Affiliation: School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610031, People’s Republic of China
- MR Author ID: 1311105
- Email: zjyl0220@gmail.com
- Jun Shen
- Affiliation: School of Mathematics, Sichuan University, Chengdu, Sichuan 610064, People’s Republic of China
- MR Author ID: 1008044
- Email: junshen85@163.com
- Received by editor(s): December 8, 2018
- Received by editor(s) in revised form: May 18, 2019
- Published electronically: July 30, 2019
- Additional Notes: This work was supported by NSFC (11501549, 11831012) and the Fundamental Research Funds for the Central Universities (YJ201646).
All correspondences should be addressed to the second author. - Communicated by: Wenxian Shen
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 365-377
- MSC (2010): Primary 34F05; Secondary 37H15, 37H10
- DOI: https://doi.org/10.1090/proc/14707
- MathSciNet review: 4042858