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

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dc.contributor.authorLu, Lin
dc.contributor.authorLiu, Shujuan
dc.contributor.authorWu, Jun
dc.date.accessioned2021-11-29T20:46:56Z
dc.date.available2021-11-29T20:46:56Z
dc.date.issued2019-07-17
dc.description.abstractThis 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].
dc.description.departmentMathematics
dc.formatText
dc.format.extent22 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLu, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14976
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCoupled van der Pol equations
dc.subjectKAM theory
dc.subjectInvariant torus
dc.titleExistence of quasi-periodic invariant tori for coupled van der Pol equationsen_US
dc.typeArticle

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