Electron. J. Differential Equations,
Vol. 2019 (2019), No. 88, pp. 1-22.
Existence of quasi-periodic invariant tori for coupled
van der Pol equations
Lin Lu, Shujuan Liu, Jun Wu
Abstract:
This work focuses on the existence of quasi-periodic invariant tori for
coupled van der Pol equations. Using averaging method, a series of
reversible transformations and KAM techniques, we prove that there exist
quasi-periodic invariant tori for most parameters.
The results in this article can be regarded as a generalization of
those in [22].
Submitted January 4, 2019. Published July 17, 2019.
Math Subject Classifications: 34C15, 70K43.
Key Words: Coupled van der Pol equations; KAM theory; Invariant torus
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Lin Lu
School of Mathematics and Computational Science
Hunan First Normal University
Changsha, Hunan 410205, China
email: 14726989141@163.com
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Shujuan Liu
Key Laboratory of High Performance Computing and
Stochastic Information Processing
Department of Mathematics, Hunan Normal University
Changsha, Hunan 410083, China
email: 846706840@smail.hunnu.edu.cn
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Jun Wu
Key Laboratory of High Performance Computing and
Stochastic Information Processing
Department of Mathematics, Hunan Normal University
Changsha, Hunan 410083, China
email: wujun433123@163.com
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