A new algorithm for determining the monodromy of a planar differential system

DOI10.1016/j.amc.2014.03.129zbMath1334.34188OpenAlexW2006800584MaRDI QIDQ275015

Cristóbal García, Antonio Algaba, Manuel Reyes

Publication date: 25 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.129

zbMATH Keywords

monodromyNewton diagramcharacteristic orbitsdegenerate systems

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (6)

Local phase portraits through the Newton diagram of a vector field ⋮ Nilpotent centres via inverse integrating factors ⋮ Nondegenerate and nilpotent centers for a cubic system of differential equations ⋮ The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor ⋮ Center problem for generic degenerate vector fields ⋮ Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram

Cites Work

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• Characterization of a monodromic singular point of a planar vector field
• Topological equivalence of a plane vector field with its principal part defined through Newton polyhedra
• Focus-center problem of planar degenerate system
• Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
• Singularities of vector fields on the plane
• Monodromy and stability of a class of degenerate planar critical points
• Quasi-homogeneous normal forms
• A necessary condition in the monodromy problem for analytic differential equations on the plane
• The center problem for a family of systems of differential equations having a nilpotent singular point
• The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems
• Monodromy, center-focus and integrability problems for quasi-homogeneous polynomial systems
• ON THE DEGENERATE CENTER PROBLEM
• Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
• The integrability problem for a class of planar systems
• ON THE CENTER PROBLEM FOR DEGENERATE SINGULAR POINTS OF PLANAR VECTOR FIELDS
• ON THE CENTER CONDITIONS FOR ANALYTIC MONODROMIC DEGENERATE SINGULARITIES

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