Bifurcations of limit cycles from quadratic non-Hamiltonian systems with two centres and two unbounded heteroclinic loops

DOI10.1088/0951-7715/18/1/016zbMath1077.34035OpenAlexW2065540527MaRDI QIDQ4655108

Jiang Yu, Chengzhi Li, Iliya D. Iliev

Publication date: 10 March 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/18/1/016

zbMATH Keywords

bifurcation limit cycle Abelian integral heteroclinic loop planar quadratic non-Hamiltonian system

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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