Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle

DOI10.1016/j.jde.2015.11.017zbMath1339.34052OpenAlexW2174077387MaRDI QIDQ2634274

Yanqin Xiong, Dongmei Xiao, Mao'an Han

Publication date: 8 February 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.11.017

zbMATH Keywords

limit cycleintegrable systemsmall perturbationheteroclinic triangle loopplanar quadratic polynomial system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (7)

Limit Cycles in Discontinuous Piecewise Linear Planar Hamiltonian Systems Without Equilibrium Points ⋮ The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems ⋮ Impact limit cycles in the planar piecewise linear hybrid systems ⋮ Limit cycles in the discontinuous planar piecewise linear systems with three zones ⋮ Cyclicity of a Class of Hamiltonian Systems under Perturbations of Piecewise Smooth Polynomials ⋮ On the number of zeros of abelian integral for a class of cubic Hamilton systems with the phase portrait ``butterfly ⋮ On the number of limit cycles for a class of piecewise smooth Hamiltonian systems with discontinuous perturbations

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