Perturbations of parallel flows on the sphere in \(\mathbb R^3\)

DOI10.1016/j.jmaa.2008.10.021zbMath1165.34018OpenAlexW2007780159MaRDI QIDQ2518290

Shumin Li, Mao'an Han

Publication date: 15 January 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.10.021

zbMATH Keywords

limit cycleaveraging methodPoincaré mapinvariant sphereParallel flow

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

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