On the limit cycles of linear differential systems with homogeneous nonlinearities
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Zhang, Xiang (Shanghai Jiaotong University. Department of Mathematics)

Date:	2015
Abstract:	We consider the class of polynomial differential systems of the form x'= x - y P_n (x, y), y'=x y Q_n (x, y), where P_n and Q_n are homogeneous polynomials of degree n. For this class of differential systems we summarize the known results for the existence of limit cycles, and we provide new results for their nonexistence and existence.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-410 European Commission 316338 European Commission 318999
Note:	Agraïments: The first author is partially supported by the grant UNAB13-4E-1604 and from the recruitment program of high-end foreign experts of China. The second author is partially supported by NNSF of China grant number 11271252, by RFDP of Higher Education of China grant number 20110073110054 and by innovation program of Shanghai municipal education commission grant 15ZZ012.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Differential equations on the cylinder ; Limit cycles ; Polynomial differential system
Published in:	Canadian mathematical bulletin, Vol. 58 Núm. 4 (2015) , p. 818-823, ISSN 1496-4287

DOI: 10.4153/CMB-2015-062-1

Postprint 8 p, 704.6 KB

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