Poincaré-Andronov-Hopf bifurcation and the local Hilbert's 16th problem

DOI10.1007/s12346-012-0071-3zbMath1273.34044OpenAlexW2072019231MaRDI QIDQ1936478

Jean-Pierre Françoise

Publication date: 5 February 2013

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-012-0071-3

zbMATH Keywords

Poincaré-Andronov-Hopf bifurcationBautin theorydynamical and singular Hopf bifurcationlocal Hilbert's 16th problem

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) 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) Singular perturbations for ordinary differential equations (34E15)

Related Items (2)

Analysis of degenerate fold-Hopf bifurcation in a three-dimensional differential system ⋮ Bernstein-Remez inequality for algebraic functions: a topological approach

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