Electronic Journal of Differential Equations,
Vol. 2019 (2019), No. 88, pp. 1-22.

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

Authors: Lin Lu (Hunan First Normal Univ., Changsha, Hunan, China)
         Shujuan Liu  (Hunan Normal Univ., Changsha, Hunan, China)
         Jun Wu       (Hunan Normal Univ., Changsha, Hunan, China)
 
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