On the Topology of Isochronous Centers of Hamiltonian Differential Systems

DOI10.1142/S0218127419500998zbMath1419.37054OpenAlexW2954501257MaRDI QIDQ5225799

Changjian Liu, Jiazhong Yang, Guangfeng Dong

Publication date: 23 July 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419500998

zbMATH Keywords

isochronous centerHamiltonian systemsvanishing cycle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

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• Non-isochronicity of the center at the origin in polynomial Hamiltonian systems with even degree nonlinearities
• Isochronous Centers in Planar Polynomial Systems
• Bifurcation of Critical Periods for Plane Vector Fields
• Isochronicity of plane polynomial Hamiltonian systems
• Singular Points of Complex Hypersurfaces. (AM-61)

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