Lie and Noether counting theorems for one-dimensional systems

DOI10.1006/jmaa.1993.1295zbMath0783.34002OpenAlexW2017921049MaRDI QIDQ1310851

F. M. Mahomed, Abdul Hamid Kara, Peter G. L. Leach

Publication date: 17 March 1994

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1993.1295

zbMATH Keywords

Lie algebrasecond-order equationLie's counting theoremNoether algebraNoether counting theorempoint symmetry algebra

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Lie algebras of vector fields and related (super) algebras (17B66) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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