Lie algebras and geometric complexity of an isochronous center condition

zbMath1390.37033arXiv1701.04203MaRDI QIDQ4643404

Jordy Palafox, Jacky Cresson

Publication date: 24 May 2018

Full work available at URL: https://arxiv.org/abs/1701.04203

zbMATH Keywords

isochronous centerplanar polynomial vector fieldslinearisation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10) Applications of Lie algebras and superalgebras to integrable systems (17B80)

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