Limit cycles of polynomial differential systems bifurcating from the periodic orbits of a linear differential system in \(\mathbb R^d\)

DOI10.1016/j.bulsci.2009.04.004zbMath1181.34042OpenAlexW2094165126MaRDI QIDQ843110

Jaume Llibre, Amar Makhlouf

Publication date: 29 September 2009

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2009.04.004

zbMATH Keywords

limit cyclesbifurcationaveraging methodspolynomial vector fields

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) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (1)

Periodic orbits for perturbed non-autonomous differential equations

Cites Work

• Unnamed Item
• Limit cycles of differential equations
• Averaging methods for finding periodic orbits via Brouwer degree.
• On the nonexistence, existence and uniqueness of limit cycles
• Limit cycles of some polynomial differential systems in dimension 2, 3 and 4, via averaging theory

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