Hopf bifurcation in 3-dimensional polynomial vector fields

DOI10.1016/j.cnsns.2021.106068zbMath1476.34097OpenAlexW3202151329MaRDI QIDQ2060633

Joan Torregrosa, Iván Sánchez-Sánchez

Publication date: 13 December 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2021.106068

zbMATH Keywords

limit cyclesLyapunov constantsHopf bifurcation in dimension three

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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)

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

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