The limit cycles of a class of quintic polynomial vector fields

DOI10.12775/TMNA.2019.030zbMath1453.34042MaRDI QIDQ2336082

Tayeb Salhi, Jaume Llibre

Publication date: 18 November 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1563242555

zbMATH Keywords

limit cycleperiodic orbitinverse integrating factorpolynomial vector field

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Cites Work

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• Generic Properties of Polynomial Vector Fields at Infinity
• The shape of limit cycles that bifurcate from non-Hamiltonian centers
• Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor

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