Isochronicity for a class of reversible systems

DOI10.1016/j.jmaa.2009.10.054zbMath1195.34065OpenAlexW2063529901MaRDI QIDQ847778

Kuilin Wu, Yulin Zhao

Publication date: 19 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.054

zbMATH Keywords

reversible systemsperiod functionsisochronous centers

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) Symmetries, invariants of ordinary differential equations (34C14) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (4)

The cyclicity of the period annulus of the cubic isochronous center ⋮ Isochronicity and linearizability of a planar cubic system ⋮ ON THE NUMBER OF ZEROS OF ABELIAN INTEGRAL FOR A CUBIC ISOCHRONOUS CENTER ⋮ Critical Period Bifurcation by Perturbing a Reversible Rigidly Isochronous Center with Multiple Parameters

Cites Work

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• Period function for a class of Hamiltonian systems
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• A characterization of isochronous centres in terms of symmetries.
• Linearization of isochronous centers
• A class of reversible cubic systems with an isochronous center
• On the critical periods of perturbed isochronous centers
• Non-isochronicity of the center at the origin in polynomial Hamiltonian systems with even degree nonlinearities
• Bifurcation of Critical Periods for Plane Vector Fields
• Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials
• Isochronous centers of cubic systems with degenerate infinity
• Isochronicity via normal form

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