Monodromic nilpotent singular points with odd Andreev number and the center problem

DOI10.1007/s12346-022-00638-2OpenAlexW3169632557WikidataQ114220808 ScholiaQ114220808MaRDI QIDQ2169530

Lucas Queiroz, Claudio Pessoa

Publication date: 2 September 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.05090

zbMATH Keywords

monodromycenter problemnilpotent singular points

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Cites Work

• Unnamed Item
• Analytic nilpotent centers as limits of nondegenerate centers revisited
• Geometric criterium in the center problem
• Reversibility and classification of nilpotent centers
• The analytic and formal normal form for the nilpotent singularity
• The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields
• Analytic integrability around a nilpotent singularity
• Singularities of vector fields
• A new algorithm for the computation of the Lyapunov constants for some degenerated critical points.
• A new normal form for monodromic nilpotent singularities of planar vector fields
• Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor
• Generating limit cycles from a nilpotent critical point via normal forms
• Nondegenerate and nilpotent centers for a cubic system of differential equations
• Qualitative theory of planar differential systems
• Stability of motion
• Formal Inverse Integrating Factor and the Nilpotent Center Problem
• ON THIRD-ORDER NILPOTENT CRITICAL POINTS: INTEGRAL FACTOR METHOD
• Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
• The Center and Cyclicity Problems
• Local analytic integrability for nilpotent centers
• Nilpotent centres via inverse integrating factors
• Symétrie et forme normale des centres et foyers dégénérés
• Center cyclicity for some nilpotent singularities including the ℤ2-equivariant class
• NEW STUDY ON THE CENTER PROBLEM AND BIFURCATIONS OF LIMIT CYCLES FOR THE LYAPUNOV SYSTEM (I)
• MONODROMY AND STABILITY FOR NILPOTENT CRITICAL POINTS

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