Limit cycles for planar semi-quasi-homogeneous polynomial vector fields

DOI10.1016/j.jmaa.2012.07.060zbMath1258.34059arXiv1110.1698OpenAlexW1995529814MaRDI QIDQ713459

Yulin Zhao

Publication date: 29 October 2012

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

Full work available at URL: https://arxiv.org/abs/1110.1698

zbMATH Keywords

limit cyclessemi-quasi-homogeneous vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (6)

On the Limit Cycles Bifurcating from Piecewise Quasi-Homogeneous Differential Center ⋮ Bifurcation of limit cycles and center problem for \(p : q\) homogeneous weight systems ⋮ Limit cycles of polynomial differential equations with quintic homogeneous nonlinearities ⋮ Planar semi-quasi homogeneous polynomial differential systems with a given degree ⋮ Limit cycles and global dynamic of planar cubic semi-quasi-homogeneous systems ⋮ Planar quasi-homogeneous polynomial systems with a given weight degree

Cites Work

• Structural stability of planar quasihomogeneous vector fields
• Topological equivalence of a plane vector field with its principal part defined through Newton polyhedra
• Algebraic and topological classification of the homogeneous cubic vector fields in the plane
• Limit cycles bifurcating from the period annulus of quasi-homogeneous centers
• On the cyclicity of weight-homogeneous centers
• Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
• Bifurcation of planar vector fields and Hilbert's sixteenth problem
• Structural stability of planar semi-homogeneous polynomial vector fields. Applications to critical points and to infinity
• Cyclicity of a family of vector fields
• Structural stability of planar homogeneous polynomial vector fields: Applications to critical points and to infinity
• Phase portraits of planar semi-homogeneous vector fields. II
• Qualitative theory of planar differential systems
• Stability of motion
• Lie symmetries of quasihomogeneous polynomial planar vector fields and certain perturbations
• Polynomial first integrals for quasi-homogeneous polynomial differential systems
• Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
• Phase portraits of planar semi-homogeneous vector fields-I
• Limit cycles for vector fields with homogeneous components

This page was built for publication: Limit cycles for planar semi-quasi-homogeneous polynomial vector fields