Structural stability of planar quasi-homogeneous vector fields

DOI10.1016/j.jmaa.2018.08.005zbMath1405.34047OpenAlexW2885791219WikidataQ129396246 ScholiaQ129396246MaRDI QIDQ2413994

Antonio Algaba, Cristóbal García, Estanislao Gamero, Natalia Fuentes

Publication date: 17 September 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.08.005

zbMATH Keywords

structural stabilityplanar vector fields

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30)

Related Items (2)

Does nonuniform behavior destroy the structural stability? ⋮ Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh-Nagumo system

Cites Work

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• Structural stability of planar semi-homogeneous polynomial vector fields. Applications to critical points and to infinity
• Structural stability of planar homogeneous polynomial vector fields: Applications to critical points and to infinity
• Monodromy, center-focus and integrability problems for quasi-homogeneous polynomial systems
• The integrability problem for a class of planar systems
• Structure and Stability of Gradient Polynomial Vector Fields
• Structural Stability of Planar Hamiltonian Polynomial Vector Fields

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