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11 p, 303.9 KB Isochronicity and linearizability of planar polynomial Hamiltonian systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Romanovskii, Valery G. (University of Maribor. Center for Applied Mathematics and Theoretical Physics)
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.
2015 - 10.1016/j.jde.2015.03.009
Journal of differential equations, Vol. 259 (2015) , p. 1649-1662  

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