Isochronicity and linearizability of planar polynomial Hamiltonian systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Romanovskii, Valery G. (University of Maribor. Center for Applied Mathematics and Theoretical Physics)

Date:	2015
Abstract:	In this paper we study isochronicity and linearizability of planar polynomial Hamiltonian systems. First we prove a theorem which supports a negative answer to the following open question stated by Jarque and Villadelprat in [15]: Do there exist planar polynomial Hamiltonian systems of even degree having an isochronous center? Additionally we obtain some conditions for linearizability of complex cubic Hamiltonian systems.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999
Note:	Agraïments: UNAB13-4E-1604. The second author is supported by the Slovenian Research Agency. Both authors are supported by the grant FP7-PEOPLE-2012-IRSES-316338. We also thank the referee for valuable remarks which helped to improve the manuscript.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Hamiltonian system ; Isochronous center
Published in:	Journal of differential equations, Vol. 259 (2015) , p. 1649-1662, ISSN 1090-2732

DOI: 10.1016/j.jde.2015.03.009

Postprint 11 p, 303.9 KB

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