Dynamical Noether invariants for time-dependent nonlinear systems

DOI10.1063/1.525163zbMath0475.70025OpenAlexW2079626172MaRDI QIDQ3930697

R. S. Kaushal, Hans Jürgen Korsch

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.525163

zbMATH Keywords

Lewis invariantdynamical Noether invariantstime- dependent harmonic oscillatortime-dependent nonlinear systems

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Nonlinear dynamics in mechanics (70K99) Hamiltonian and Lagrangian mechanics (70H99)

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Cites Work

• Dynamical symmetries and conserved quantities
• Towards an invariant for the time-dependent anharmonic oscillator
• Noether’s theorem, time-dependent invariants and nonlinear equations of motion
• A Note on the Time-Dependent Harmonic Oscillator
• On the theory of time-dependent linear canonical transformations as applied to Hamiltonians of the harmonic oscillator type
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
• The Adiabatic Invariant of the Linear or Nonlinear Oscillator
• Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic