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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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Persistence of Floquet invariant tori for a class of non-conservative dynamical systems
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by Junxiang Xu PDF
Proc. Amer. Math. Soc. 135 (2007), 805-814 Request permission

Abstract:

In this paper we consider a class of non-conservative dynamical system with small perturbation. By the KAM method we prove existence of Floquet invariant tori under the weakest non-resonant conditions.
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Additional Information
  • Junxiang Xu
  • Affiliation: Department of Mathematics, Southeast University, Nanjing 210096, People’s Republic of China
  • Email: xujun@seu.edu.cn
  • Received by editor(s): February 19, 2004
  • Received by editor(s) in revised form: October 15, 2005
  • Published electronically: September 11, 2006
  • Additional Notes: This paper is Project 10571027 supported by the NSFC
  • Communicated by: Carmen C. Chicone
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 805-814
  • MSC (2000): Primary 34D20; Secondary 34C05
  • DOI: https://doi.org/10.1090/S0002-9939-06-08529-7
  • MathSciNet review: 2262876