Isochronicity conditions for a center and a focus in polar coordinates

DOI10.1134/S001226610810008XzbMath1194.34053MaRDI QIDQ1000147

Alexander Rudenok

Publication date: 4 February 2009

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

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

Cites Work

• Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
• Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials

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