Cyclicity of rigid centres on centre manifolds of three-dimensional systems
DOI10.1017/prm.2023.2arXiv2202.12155OpenAlexW4319767732MaRDI QIDQ6184848
Claudio Pessoa, Lucas Queiroz, Jarne D. Ribeiro
Publication date: 29 January 2024
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.12155
limit cyclesLyapunov constantscentre manifoldsthree-dimensional systemsHopf singularitiesrigid centres
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) 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)
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