Structural stability of planar quasihomogeneous vector fields

DOI10.1007/s12346-013-0105-5zbMath1318.34076OpenAlexW1984557961MaRDI QIDQ489203

Yulin Zhao, Regilene D. S. Oliveira

Publication date: 27 January 2015

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

Full work available at URL: https://doi.org/10.1007/s12346-013-0105-5

zbMATH Keywords

structural stabilityquasihomogeneous vector fields

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (8)

Classification and counting of planar quasi-homogeneous differential systems through their weight vectors ⋮ Does nonuniform behavior destroy the structural stability? ⋮ On the center criterion of planar quasi-homogeneous polynomial differential systems ⋮ Structural stability of planar quasi-homogeneous vector fields ⋮ Center of planar quintic quasi-homogeneous polynomial differential systems ⋮ Limit cycles for planar semi-quasi-homogeneous polynomial vector fields ⋮ New results on linearization of differential equations with piecewise constant argument ⋮ Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems

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