Generalised Symmetries and the Ermakov-Lewis Invariant

DOI10.2991/jnmp.2005.12.1.3zbMath1079.34025OpenAlexW1984831891MaRDI QIDQ4673228

Roger M. Goodall, Peter G. L. Leach

Publication date: 29 April 2005

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2005.12.1.3

zbMATH Keywords

adiabatic invariantPinney equationlengthening pendulumsymmetries for ordinary differential equations

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11)

Related Items (1)

Inflation and quantum gravity in a Born-Oppenheimer context

Cites Work

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• The complete Kepler group can be derived by Lie group analysis
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
• The Lengthening Pendulum
• Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic

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