Non-isochronicity of the center at the origin in polynomial Hamiltonian systems with even degree nonlinearities

DOI10.1016/j.na.2007.02.024zbMath1144.34021OpenAlexW1982186107MaRDI QIDQ2482486

Xingwu Chen, Valery G. Romanovski, Wei Nian Zhang

Publication date: 17 April 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.02.024

zbMATH Keywords

Hamiltoniancenterisochronous

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items

Isochronicity for a class of reversible systems ⋮ Isochronous centers of polynomial Hamiltonian systems and a conjecture of Jarque and Villadelprat ⋮ The isochronous centers for Kukles homogeneous system of degree nine ⋮ Non-isochronicity of the center in polynomial Hamiltonian systems ⋮ On the Topology of Isochronous Centers of Hamiltonian Differential Systems ⋮ Linearizability of planar polynomial Hamiltonian systems ⋮ Linearizability conditions of time-reversible cubic systems ⋮ Isochronicity and linearizability of planar polynomial Hamiltonian systems

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