Center cyclicity of a family of quartic polynomial differential system

DOI10.1007/S00030-016-0388-8zbMath1375.37139OpenAlexW2400137794MaRDI QIDQ506015

Susanna Maza, Isaac A. García, Jaume Llibre

Publication date: 27 January 2017

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-016-0388-8

zbMATH Keywords

limit cycleBautin idealcyclicitypolynomial vector field

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (1)

Centers and Limit Cycles of a Generalized Cubic Riccati System

Cites Work

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• Cyclicity of a class of polynomial nilpotent center singularities
• Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems
• Classification of the centers, of their cyclicity and isochronicity for two classes of generalized quintic polynomial differential systems
• Bifurcation of planar vector fields and Hilbert's sixteenth problem
• Evaluating cyclicity of cubic systems with algorithms of computational algebra
• The Hopf cyclicity of the centers of a class of quintic polynomial vector fields
• Bifurcation of critical periods of polynomial systems
• Experimental results for the Poincaré center problem
• The Center and Cyclicity Problems

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