Home > Articles > Published articles > Isochronicity and linearizability of planar polynomial Hamiltonian systems |
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 |
Postprint 11 p, 303.9 KB |