Limit cycles for a perturbation of a quadratic center with symmetry

DOI10.1134/S0012266111080015zbMath1230.34033OpenAlexW1978513324MaRDI QIDQ647724

Leonid Cherkas

Publication date: 24 November 2011

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

Full work available at URL: https://doi.org/10.1134/s0012266111080015

Mathematics Subject Classification ID

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

Cites Work

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• The cyclicity of the period annulus of the quadratic Hamiltonian triangle
• Extrema of the Andronov-Hopf function of a polynomial Lienard system
• On the Number of Limit Cycles in Perturbations of Quadratic Hamiltonian Systems
• Centennial History of Hilbert's 16th Problem
• Bifurcations of limit cycles from quadratic non-Hamiltonian systems with two centres and two unbounded heteroclinic loops
• The infinitesimal 16th Hilbert problem in the quadratic case

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