Isochronicity for trivial quintic and septic planar polynomial Hamiltonian systems
Braun, Francisco (Universidade Federal de Sâo Carlos Rod(Brasil). Departamento de Matemática)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mereu, Ana Cristina (UFSCar(Brazil). Department of Physics, Chemistry and Mathematics)

Date:	2016
Abstract:	In this paper we completely characterize trivial isochronous centers of degrees 5 and 7. Precisely, we provide formulas, up to linear change of coordinates, for the Hamiltonian H of the isochronous centers such that H =(f_1^2 f_2^2)/2 has degrees 6 and 8, and f = (f_1, f_2): R^2 R^2 is a polynomial map with D f = 1 and f(0,0) = (0,0).
Grants:	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 316339
Note:	Agraïments: The first author is partially supported by a FAPESP-BRAZIL grant 2014/26149-3. The third author is partially supported by a FAPESP-BRAZIL grant 2012/18780-0 and a CNPq grant 449655/2014-8. The three authors are also supported by a CAPES CSF-PVE grant 88881.030454/ 2013-01 from the program CSF-PVE.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Isochronous centers ; Jacobian conjecture ; Polynomial Hamiltonian systems
Published in:	Discrete and continuous dynamical systems. Series A, Vol. 36 Núm. 10 (2016) , p. 5245-5255, ISSN 1553-5231

DOI: 10.3934/dcds.2016029

Postprint 13 p, 669.2 KB

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