Bifurcation of isolated closed orbits from degenerated singularity in \(\mathbb{R}^{3}\)

DOI10.3934/DCDS.2013.33.2861zbMath1316.34043OpenAlexW2314073896MaRDI QIDQ379464

Yulin Zhao, Jianfeng Huang

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.2861

zbMATH Keywords

bifurcationthree-dimensional systemunfoldingisolated periodic orbitsdegenerate singular point

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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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