Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609491 | Journal of Differential Equations | 2015 | 14 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jaume Llibre, Valery G. Romanovski,