Formal and analytic integrability of the Lorenz system

DOI10.1088/0305-4470/38/12/010zbMath1074.34005OpenAlexW1989799449MaRDI QIDQ4673065

Jaume Llibre, Claudia Valls

Publication date: 29 April 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/38/12/010

zbMATH Keywords

Lorenz systemfirst integralsformal power seriesanalytic first integral

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Dynamics induced by flows and semiflows (37C10) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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