Coexisting Isochronous and Nonisochronous Centres

DOI10.1112/blms/28.5.495zbMath0853.34032OpenAlexW1994042149MaRDI QIDQ4893649

James Devlin

Publication date: 13 January 1997

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/28.5.495

zbMATH Keywords

planar polynomial systemisochronous centrecoexisting isochronous and nonisochronous centres

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)

Related Items (10)

An inverse approach to the center-focus problem for polynomial differential system with homogenous nonlinearities ⋮ The period function for Hamiltonian systems with homogeneous nonlinearities ⋮ Algorithmic derivation of isochronicity conditions ⋮ An inverse approach to the center problem ⋮ Darboux linearization and isochronous centers with a rational first integral ⋮ On some open problems in planar differential systems and Hilbert's 16th problem ⋮ Isochronicity and commutation of polynomial vector fields ⋮ Cyclicity of a critical point and the inverse Poincaré map ⋮ Simultaneous integrability and non-linearizability at arbitrary double weak saddles and sole weak focus of a cubic Liénard system ⋮ Centers with degenerate infinity and their commutators.

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