Cyclicity of unbounded semi-hyperbolic 2-saddle cycles in polynomial Liénard systems

DOI10.3934/dcds.2010.27.963zbMath1200.34034OpenAlexW2025366367MaRDI QIDQ977920

Freddy Dumortier, Magdalena Caubergh, Stijn E. Luca

Publication date: 23 June 2010

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

Full work available at URL: https://doi.org/10.3934/dcds.2010.27.963

zbMATH Keywords

limit cyclesLiénard equationcyclicityheteroclinic connection

Mathematics Subject Classification ID

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)

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