The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems

DOI10.1016/j.jde.2021.01.016zbMath1466.34033OpenAlexW3124151012MaRDI QIDQ2656278

Dongmei Xiao, Yanqin Xiong, Mao'an Han

Publication date: 11 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.jde.2021.01.016

zbMATH Keywords

limit cycleHamiltonian trianglequadratic polynomial system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (4)

On the uniqueness of limit cycles for generalized Liénard systems ⋮ On the indices of singular points for planar bounded piecewise smooth polynomial vector field ⋮ Estimating the number of limit cycles for one step perturbed homogeneous degenerate centers ⋮ Heteroclinic bifurcation of limit cycles in perturbed cubic Hamiltonian systems by higher-order analysis

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