Limit cycles for 3-monomial differential equations
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Li, Chengzhi (Peking University. School of Mathematical Sciences and LMAM)

Date:	2015
Abstract:	We study planar polynomial differential equations that in complex coordinates write as z'= Az Bz^k^l Cz^m^n. We prove that for each p N there are differential equations of this type having at least p limit cycles. Moreover, for the particular case z'=Az B Cz^m^n, which has homogeneous nonlinearities, we show examples with several limit cycles and give a condition that ensures uniqueness and hyperbolicity of the limit cycle.
Grants:	Ministerio de Economía y Competitividad FEDERMTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999
Note:	Agraïments: UNAB10-4E-378. The second author is partially supported by NSFC-11171267 and NSFC-11271027 grants.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Published in:	Journal of mathematical analysis and applications, Vol. 428 (2015) , p. 735-749, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2015.03.039

Postprint 15 p, 374.7 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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