Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram

DOI10.1016/j.cam.2015.03.018zbMath1322.34049OpenAlexW2129539182MaRDI QIDQ2346638

Manuel Reyes, Cristóbal García, Antonio Algaba

Publication date: 2 June 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2015.03.018

zbMATH Keywords

monodromycharacteristic orbitsNewton diagramsnilpotent systemsquasi-homogeneous vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Related Items (2)

Center conditions to find certain degenerate centers with characteristic directions ⋮ Quasi-homogeneous linearization of degenerate vector fields

Cites Work

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• The integrability problem for a class of planar systems
• ON THE CENTER PROBLEM FOR DEGENERATE SINGULAR POINTS OF PLANAR VECTOR FIELDS

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