Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. IV. Classical (velocity-independent) mappings of second-order differential equations

DOI10.1063/1.528602zbMath0678.70019OpenAlexW2064715746MaRDI QIDQ3835074

Gerald H. Katzin, Jack Levine

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528602

zbMATH Keywords

functional structuresymmetry methodssymmetries of dynamical systemsvelocity-dependent symmetry mappings of second-order dynamical systems

Mathematics Subject Classification ID

Lagrange's equations (70H03)

Cites Work

• Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. I. Velocity-dependent mappings of second-order differential equations
• Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. II. Mappings of first-order differential equations
• Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. III. Systems with cyclic variables
• SL(3,R) as the group of symmetry transformations for all one-dimensional linear systems
• Symmetries of linear systems of second-order ordinary differential equations
• Invariants for the time-dependent harmonic oscillator
• Symmetries of the time-dependent N-dimensional oscillator
• The complete symmetry group of the one-dimensional time-dependent harmonic oscillator
• Generalizations of Noether’s Theorem in Classical Mechanics
• Exact invariants for a class of time-dependent nonlinear Hamiltonian systems
• A Note on the Time-Dependent Harmonic Oscillator
• Time-dependent dynamical symmetry mappings and associated constants of motion for classical particle systems. II
• Time-dependent dynamical symmetries and constants of motion. III. Time-dependent harmonic oscillator
• Symmetry groups and conserved quantities for the harmonic oscillator
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators

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