Isochronous and strongly isochronous foci of polynomial Liénard systems

DOI10.1134/S0012266122010013zbMath1500.34024OpenAlexW4226250985WikidataQ115249038 ScholiaQ115249038MaRDI QIDQ2117967

V. V. Amel'kin

Publication date: 22 March 2022

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

Full work available at URL: https://doi.org/10.1134/s0012266122010013

zbMATH Keywords

dynamical systemsdifferential equationsisochronous focus

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Related Items (1)

Proof of the jacobian conjecture in the two-dimensional case and global isochronous centers of polynomial Hamiltonian differential systems

Cites Work

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• Characterizing isochronous points and computing isochronous sections
• On period functions of Liénard systems
• On one conjecture in the theory of isochronous Liénard systems
• Strong isochronicity of the Liénard system
• Non-periodic isochronous oscillations in plane differential systems
• Positive solution of one conjecture in the theory of polynomial isochronous centers of Liénard systems
• Characterization of isochronous foci for planar analytic differential systems

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