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Limit cycles bifurcating from planar polynomial quasi--homogeneous centers

To access the full text documents, please follow this link: http://hdl.handle.net/10459.1/49438

Author

Giné, Jaume

Grau Montaña, Maite

Llibre, Jaume

Publication date

2016-02-03T12:58:09Z

2017-12-31T23:28:01Z

2015

2016-02-03T12:23:44Z



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Abstract

In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7].

The first and second authors are partially supported by a MINECO/ FEDER grant number MTM2014-53703-P and by an AGAUR (Gener- alitat de Catalunya) grant number 2014SGR 1204. The third author is partially supported by a MINECO/ FEDER grant number MTM2008- 03437, by an AGAUR grant number 2009SGR 410, by ICREA Academia and by FP7-PEOPLE-2012-IRSES-316338 and 318999

Document Type

article
acceptedVersion

Language

English

Subjects and keywords

Quasi-homogeneous polynomial differential equations; Bifurcation of limit cycles; Quasi-homogeneous centers; Equacions diferencials ordinàries

Publisher

Elsevier

Related items

MINECO/PN2013-2016/MTM2014-53703-P

Versió postprint del document publicat a https://doi.org/10.1016/j.jde.2015.08.014

Journal of Differential Equations, 2015, vol. 259, p. 7135-7160

info:eu-repo/grantAgreement/EC/FP7/318999

info:eu-repo/grantAgreement/EC/FP7/316338

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Rights

cc-by-nc-nd (c) Elsevier, 2015

http://creativecommons.org/licenses/by-nc-nd/4.0/

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