A class of reversible quadratic systems with piecewise polynomial perturbations

DOI10.1016/j.amc.2019.06.041zbMath1433.34049OpenAlexW2955997943WikidataQ127593596 ScholiaQ127593596MaRDI QIDQ2286041

Yanqin Xiong, Jianqiang Hu

Publication date: 9 January 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.06.041

zbMATH Keywords

limit cyclequadratic systemMelnikov function

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) 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)

Related Items (5)

A linear estimate of the number of limit cycles for a piecewise smooth near-Hamiltonian system ⋮ Cyclicity of a Class of Hamiltonian Systems under Perturbations of Piecewise Smooth Polynomials ⋮ Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system ⋮ Bifurcation of limit cycles of a piecewise smooth Hamiltonian system ⋮ Number of Limit Cycles from a Class of Perturbed Piecewise Polynomial Systems

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