Limit cycle bifurcations from a non-degenerate center

DOI10.1016/j.amc.2010.09.025zbMath1391.34073OpenAlexW1998747042MaRDI QIDQ426465

Jaume Giné

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.09.025

zbMATH Keywords

limit cyclesGroebner basiscenter problemPoincaréLiapunov constants

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)

Related Items

Lower bounds for the local cyclicity for families of centers ⋮ An Improvement on the Number of Limit Cycles Bifurcating from a Nondegenerate Center of Homogeneous Polynomial Systems ⋮ The local cyclicity problem: Melnikov method using Lyapunov constants ⋮ Existence of limit cycles for a class of quartic polynomial differential system depending on parameters ⋮ THE CENTER-FOCUS PROBLEM AND BIFURCATION OF LIMIT CYCLES IN A CLASS OF 7TH-DEGREE POLYNOMIAL SYSTEMS ⋮ Higher order limit cycle bifurcations from non-degenerate centers ⋮ Lower bounds for the local cyclicity of centers using high order developments and parallelization ⋮ Center Conditions and Bifurcation of Limit Cycles Created from a Class of Second-Order ODEs ⋮ Criticality via first order development of the period constants

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