On the Lie symmetries of a class of generalized Ermakov systems

DOI10.1016/S0375-9601(98)00020-6zbMath0946.37039arXivmath-ph/0211031WikidataQ62038660 ScholiaQ62038660MaRDI QIDQ1966614

F. Haas, João Goedert

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0211031

zbMATH Keywords

symmetryHamiltonian Ermakov system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items

On the Lie Symmetries of KeplerErmakov Systems ⋮ Symmetries and conservation laws for the generalized n‐dimensional Ermakov system ⋮ Lie point symmetries for reduced Ermakov systems ⋮ The Lie Algebra sl(2, R) and so-called Kepler-Ermakov Systems ⋮ Dynamical symmetries and the Ermakov invariant

Cites Work

• Multi-component Ermakov systems: Structure and linearization
• Ermakov systems: A group-theoretic approach
• Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
• Kepler-Ermakov problems
• Ermakov systems of arbitrary order and dimension: structure and linearization
• The algebraic structure of generalized Ermakov systems in three dimensions
• On the Hamiltonian structure of Ermakov systems
• Exact Quantization Conditions. II
• The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0