Centers and limit cycles of vector fields defined on invariant spheres

DOI10.1007/s00332-021-09751-zzbMath1490.34028OpenAlexW3204869907MaRDI QIDQ2239305

Claudio A. Buzzi, Joan Torregrosa, Ana Livia Rodero

Publication date: 3 November 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-021-09751-z

zbMATH Keywords

integrabilitycenter-focus problemlocal cyclicityvector fields on invariant spheres

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Explicit solutions, first integrals of ordinary differential equations (34A05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Ordinary differential equations and systems on manifolds (34C40)

Cites Work

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