Lie symmetries of quasihomogeneous polynomial planar vector fields and certain perturbations

DOI10.1007/s10114-004-0445-9zbMath1100.34027OpenAlexW2086220817MaRDI QIDQ2577873

Javier Chavarriga, Isaac A. García

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0445-9

zbMATH Keywords

Lie symmetriesplanar vector fieldsquasi-homogeneous systemsIntegrating factors

Mathematics Subject Classification ID

Related Items (4)

On the Limit Cycles Bifurcating from Piecewise Quasi-Homogeneous Differential Center ⋮ Structural stability of planar quasihomogeneous vector fields ⋮ Limit cycles for planar semi-quasi-homogeneous polynomial vector fields ⋮ Center problem with characteristic directions and inverse integrating factors

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• On Lie's symmetries for planar polynomial differential systems
• Polynomial first integrals for quasi-homogeneous polynomial differential systems
• Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations
• Necessary condition for the existence of algebraic first integrals

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