Center conditions to find certain degenerate centers with characteristic directions

DOI10.1016/j.matcom.2023.07.006OpenAlexW4384469802MaRDI QIDQ6089642

Jaume Giné, Antonio Algaba, Cristóbal García

Publication date: 13 November 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2023.07.006

zbMATH Keywords

nonlinear differential equationscenter problemmonodomic singular points

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

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• Analytic nilpotent centers as limits of nondegenerate centers revisited
• Characterization of a monodromic singular point of a planar vector field
• The reversibility and the center problem
• Geometric criterium in the center problem
• Principal term of the monodromy transformation of a monodromic singular point is linear
• Singularities of vector fields on the plane
• Bifurcation of planar vector fields and Hilbert's sixteenth problem
• Implementation of a new algorithm of computation of the Poincaré-Lyapunov constants.
• Monodromy and stability of a class of degenerate planar critical points
• The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields
• The principal term of the asymptotics of the monodromy transformation: Computation in accordance with blow-up geometry
• Center problem with characteristic directions and inverse integrating factors
• Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram
• Analytic integrability for some degenerate planar vector fields
• A necessary condition in the monodromy problem for analytic differential equations on the plane
• ON THE DEGENERATE CENTER PROBLEM
• ON THE CENTERS OF PLANAR ANALYTIC DIFFERENTIAL SYSTEMS
• The focus-centre problem for a type of degenerate system
• Poincaré map for some polynomial systems of differential equations
• Non-autonomous equations related to polynomial two-dimensional systems
• Degenerate Hopf Bifurcation Formulas and Hilbert’s 16th Problem
• ON THE CENTER PROBLEM FOR DEGENERATE SINGULAR POINTS OF PLANAR VECTOR FIELDS
• SUFFICIENT CONDITIONS FOR A CENTER AT A COMPLETELY DEGENERATE CRITICAL POINT
• ON THE CENTER CONDITIONS FOR ANALYTIC MONODROMIC DEGENERATE SINGULARITIES
• The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor

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