Limit cycles under perturbations of a quadratic Hamiltonian system

DOI10.1134/S0012266112050072zbMath1283.34029OpenAlexW2027442387MaRDI QIDQ1760439

O. N. Malysheva, Leonid Cherkas

Publication date: 14 November 2012

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

Full work available at URL: https://doi.org/10.1134/s0012266112050072

zbMATH Keywords

Liénard systemlimit cycleDulac functionperturbed quadratic Hamiltonian system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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

• Extrema of the Andronov-Hopf function of a polynomial Lienard system
• The cyclicity of period annuli of degenerate quadratic Hamiltonian systems with elliptic segment loops
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