On Lie's symmetries for planar polynomial differential systems

DOI10.1088/0951-7715/14/4/313zbMath0987.34027OpenAlexW1991920814MaRDI QIDQ2730687

Jaume Giné, Isaac A. García, Javier Chavarriga

Publication date: 23 June 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/14/4/313

zbMATH Keywords

first integralintegrating factorsymmetry generatorplanar polynomial differential systemsLie's symmetriespolynomial planar systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Local Lie groups (22E05)

Related Items (10)

A characterization of isochronous centres in terms of symmetries. ⋮ First derivative of the period function with applications ⋮ ON THE DEGENERATE CENTER PROBLEM ⋮ On the planar integrable differential systems ⋮ Lie symmetries for the orbital linearization of smooth planar vector fields around singular points ⋮ Linearization of analytic isochronous centers from a given commutator ⋮ Periodic solutions of second-order differential equations with two-dimensional Lie point symmetry algebra ⋮ A simple method for constructing non-liouvillian first integrals of autonomous planar systems ⋮ On the linearization of isochronous centre of a modified Emden equation with linear external forcing ⋮ Lie symmetries of quasihomogeneous polynomial planar vector fields and certain perturbations

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