Article ID Journal Published Year Pages File Type
4609491 Journal of Differential Equations 2015 14 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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