Strong isochronism of a center and a focus for systems with homogeneous nonlinearities

DOI10.1134/S0012266109020025zbMath1198.34047MaRDI QIDQ731610

Alexander Rudenok

Publication date: 8 October 2009

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

zbMATH Keywords

isochronous centernormal formhomogeneous nonlinearitiesisochronous focus

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) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Dynamics induced by flows and semiflows (37C10)

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Isochronicity and normal forms of polynomial systems of ODEs

Cites Work

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• Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
• Linearization of isochronous centers
• Isochronous and strongly isochronous oscillations of two-dimensional monodromic holomorphic dynamical systems
• Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials