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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A new proof for the Hartman-Grobman theorem for random dynamical systems
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by Junyilang Zhao and Jun Shen PDF
Proc. Amer. Math. Soc. 148 (2020), 365-377 Request permission

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