Cyclicity of some symmetric nilpotent centers

DOI10.1016/j.jde.2015.12.001zbMath1359.37044OpenAlexW2284644223MaRDI QIDQ907803

Isaac A. García

Publication date: 26 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.jde.2015.12.001

zbMATH Keywords

limit cyclemonodromyBautin idealcyclicitynilpotent center

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (7)

The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields ⋮ Nilpotent center conditions in cubic switching polynomial Liénard systems by higher-order analysis ⋮ Center conditions for nilpotent cubic systems using the Cherkas method ⋮ Center condition and bifurcation of limit cycles for quadratic switching systems with a nilpotent equilibrium point ⋮ Center cyclicity for some nilpotent singularities including the ℤ2-equivariant class ⋮ BIFURCATION OF LIMIT CYCLES AT A NILPOTENT CRITICAL POINT IN A SEPTIC LYAPUNOV SYSTEM ⋮ Cyclicity of nilpotent centers with minimum Andreev number

Cites Work

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