Sharp upperbounds for the number of large amplitude limit cycles in polynomial Liénard systems

DOI10.3934/dcds.2012.32.1465zbMath1277.34037OpenAlexW2320515182MaRDI QIDQ414762

Freddy Dumortier

Publication date: 11 May 2012

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

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.1465

zbMATH Keywords

limit cycleLiénard equationcyclicityheteroclinic connection

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Perturbations of ordinary differential equations (34D10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Limit cycles in slow-fast codimension 3 saddle and elliptic bifurcations ⋮ Phase portraits of the quadratic polynomial Liénard differential systems ⋮ Canard Explosion and Position Curves ⋮ Wave speeds for the FKPP equation with enhancements of the reaction function

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