Lower bounds for the cyclicity of centers of quadratic three-dimensional systems

DOI10.1016/j.jmaa.2023.127664arXiv2110.13255OpenAlexW3208054380MaRDI QIDQ6058841

Luiz F. S. Gouveia, Lucas Queiroz

Publication date: 1 November 2023

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

Full work available at URL: https://arxiv.org/abs/2110.13255

zbMATH Keywords

bifurcationLyapunov constantscenter problemcyclicityHopf singularities

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Invariant manifolds for ordinary differential equations (34C45)

Related Items (2)

Nine limit cycles around a weak focus in a class of three-dimensional cubic Kukles systems ⋮ Cyclicity of rigid centres on centre manifolds of three-dimensional systems

Cites Work

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