Picard–Fuchs Equation Applied to Quadratic Isochronous Systems with Two Switching Lines

DOI10.1142/S021812742050042XzbMath1445.34041OpenAlexW3014314603MaRDI QIDQ5221684

Jihua Yang

Publication date: 3 April 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812742050042x

zbMATH Keywords

limit cycleMelnikov functionPicard-Fuchs equationisochronous 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) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (5)

The number of limit cycles from the perturbation of a quadratic isochronous system with two switching lines ⋮ The quantitative analysis of homoclinic orbits from quadratic isochronous systems ⋮ Limit Cycles from Perturbing a Piecewise Smooth System with a Center and a Homoclinic Loop ⋮ Limit Cycles of Planar Piecewise Smooth Quadratic Systems with Focus-Parabolic Type Critical Points ⋮ Further study on Horozov-Iliev's method of estimating the number of limit cycles

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