Existence of quasi-periodic invariant tori for coupled van der Pol equations
dc.contributor.author | Lu, Lin | |
dc.contributor.author | Liu, Shujuan | |
dc.contributor.author | Wu, Jun | |
dc.date.accessioned | 2021-11-29T20:46:56Z | |
dc.date.available | 2021-11-29T20:46:56Z | |
dc.date.issued | 2019-07-17 | |
dc.description.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]. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 22 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Lu, L., Liu, S., & Wu, J. (2019). Existence of quasi-periodic invariant tori for coupled van der Pol equations. Electronic Journal of Differential Equations, 2019(88), pp. 1-22. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14976 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Coupled van der Pol equations | |
dc.subject | KAM theory | |
dc.subject | Invariant torus | |
dc.title | Existence of quasi-periodic invariant tori for coupled van der Pol equations | en_US |
dc.type | Article |