Electronic Journal of Differential Equations (Jul 2019)

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

  • Lin Lu,
  • Shujuan Liu,
  • Jun Wu

Journal volume & issue
Vol. 2019, no. 88,
pp. 1 – 22

Abstract

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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].

Keywords