Isochronous centers of polynomial Hamiltonian systems and a conjecture of Jarque and Villadelprat |
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Authors: | Jacky Cresson Jordy Palafox |
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Institution: | Université de Pau et des Pays de l''Adour, Laboratoire de Mathématiques et leurs applications, UMR CNRS 5142, Batiment IPRA, avenue de l''université, 64000 Pau, France |
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Abstract: | We study the conjecture of Jarque and Villadelprat stating that every center of a planar polynomial Hamiltonian system of even degree is nonisochronous. This conjecture has already been proved for quadratic and quartic systems. Using the correction of a vector field to characterize isochronicity and explicit computations of this quantity for polynomial vector fields, we are able to describe a very large class of nonisochronous Hamiltonian systems of even arbitrarily large degree. |
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Keywords: | 00-01 99-00 LaTeX Elsevier Template |
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