Poincaré bifurcation of limit cycles from a Liénard system with a homoclinic loop passing through a nilpotent saddle

DOI10.1155/2019/6943563zbMath1453.34049OpenAlexW2947410878MaRDI QIDQ2296550

Hongying Zhu, Junning Cai, Minzhi Wei

Publication date: 18 February 2020

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/6943563

Mathematics Subject Classification ID

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) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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