dc.contributor.author |
Giné, Jaume |
dc.date |
2018-04-04T11:08:17Z |
dc.date |
2018-06-16T22:24:16Z |
dc.date |
2017 |
dc.date |
2018-04-04T11:08:17Z |
dc.identifier |
0218-1274 |
dc.identifier |
http://hdl.handle.net/10459.1/62977 |
dc.identifier |
https://doi.org/10.1142/S021812741750081X |
dc.identifier.uri |
http://hdl.handle.net/10459.1/62977 |
dc.description |
In this paper, we first present a survey of the known results on limit cycles and center conditions for Liénard differential systems. Next we propose a generalization of such systems and we study their center conditions and the number of small-amplitude limit cycles that can bifurcate from the origin. Computing the focal values and using Gröbner bases we find the center conditions for such systems up to a certain degree. We also establish a conjecture about the center conditions for such systems when they have arbitrary degree. |
dc.description |
The author is partially supported by a MINECO/FEDER grant number MTM2014-53703-P and an AGAUR
(Generalitat de Catalunya) grant number 2014SGR 1204. |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
World Scientific Publishing |
dc.relation |
MINECO/PN2013-2016/MTM2014-53703-P |
dc.relation |
Versió postprint del document publicat a https://doi.org/10.1142/S021812741750081X |
dc.relation |
International Journal of Bifurcation and Chaos, 2017, vol. 27, núm. 6, p. 1750081-1750081 |
dc.rights |
(c) World Scientific Publishing, 2017 |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Center problem |
dc.subject |
Analytic integrability |
dc.subject |
Liénard differential systems |
dc.title |
Liénard equation and its generalizations |
dc.type |
info:eu-repo/semantics/article |
dc.type |
info:eu-repo/semantics/acceptedVersion |