Existence of quasi-periodic invariant tori for coupled van der Pol equations
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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.
Rights
Attribution 4.0 International