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Pàgina inicial > Articles > Articles publicats > Isochronicity for trivial quintic and septic planar polynomial Hamiltonian systems |
Data: | 2016 |
Resum: | 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). |
Ajuts: | 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 |
Nota: | 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. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Isochronous centers ; Jacobian conjecture ; Polynomial Hamiltonian systems |
Publicat a: | Discrete and continuous dynamical systems. Series A, Vol. 36 Núm. 10 (2016) , p. 5245-5255, ISSN 1553-5231 |
Postprint 13 p, 669.2 KB |