Lie symmetries for the orbital linearization of smooth planar vector fields around singular points

DOI10.1016/j.jmaa.2008.04.006zbMath1148.34030OpenAlexW2089436578MaRDI QIDQ930976

Susanna Maza, Jaume Giné

Publication date: 24 June 2008

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.2008.04.006

zbMATH Keywords

Lie symmetriesplanar differential equationorbitally linearization problem

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (1)

Orbital Linearization in the Quadratic Lotka–Volterra Systems Around Singular Points Via Lie Symmetries

Cites Work

• The null divergence factor
• Period function for perturbed isochronous centres.
• Linearization of analytic isochronous centers from a given commutator
• Linearizability and integrability of vector fields via commutation
• The nondegenerate center problem and the inverse integrating factor
• Linearization of smooth planar vector fields around singular points via commuting flows
• On Lie's symmetries for planar polynomial differential systems
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