Existence of quasi-periodic invariant tori for coupled van der Pol equations

Date

2019-07-17

Authors

Lu, Lin
Liu, Shujuan
Wu, Jun

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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].

Description

Keywords

Coupled van der Pol equations, KAM theory, Invariant torus

Citation

Lu, L., Liu, S., & Wu, J. (2019). Existence of quasi-periodic invariant tori for coupled van der Pol equations. <i>Electronic Journal of Differential Equations, 2019</i>(88), pp. 1-22.

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Attribution 4.0 International

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