Isochronous global center of linear plus homogeneous polynomial systems and cubic systems

DOI10.1016/J.JDE.2024.02.054MaRDI QIDQ6493723

Jun Zhang, Yingtao Li, Shaowen Shi

Publication date: 29 April 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

cubic systemisochronicityglobal centermonodromy at infinitylinear plus homogeneous polynomial system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Global stability of solutions to ordinary differential equations (34D23) Synchronization of solutions to ordinary differential equations (34D06)

Cites Work

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• Linearizability conditions of time-reversible cubic systems
• Period function for a class of Hamiltonian systems
• Isochronicity for several classes of Hamiltonian systems
• Isochronicity of plane polynomial Hamiltonian systems
• A connection between isochronous Hamiltonian centres and the Jacobian Conjecture
• Isochronous centers of cubic systems with degenerate infinity

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