The linear term of the Poincaré map at singularities of planar vector fields

DOI10.1016/J.JDE.2024.02.055MaRDI QIDQ6493721

Jaume Giné, Isaac A. García

Publication date: 29 April 2024

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

zbMATH Keywords

periodic orbitscenterPoincaré mapcyclicity

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Qualitative theory for ordinary differential equations (34Cxx)

Cites Work

• Geometric criterium in the center problem
• Topological equivalence of a plane vector field with its principal part defined through Newton polyhedra
• Center problem with characteristic directions and inverse integrating factors
• 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 Center and Cyclicity Problems
• ON THE CENTER PROBLEM FOR DEGENERATE SINGULAR POINTS OF PLANAR VECTOR FIELDS
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