Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. II. Mappings of first-order differential equations

DOI10.1063/1.526687zbMath0596.70019OpenAlexW2002258815MaRDI QIDQ3730053

Gerald H. Katzin, Jack Levine

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526687

zbMATH Keywords

constants of motionfirst order differential equationscharacteristic functional structurecorrelations of the symmetry solutionsinfinitesimal symmetry mappings

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Linear ordinary differential equations and systems (34A30) Lagrange's equations (70H03)

Related Items (4)

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. III. Systems with cyclic variables ⋮ Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. IV. Classical (velocity-independent) mappings of second-order differential equations ⋮ Noether's theorem and symmetry

Cites Work

• Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. I. Velocity-dependent mappings of second-order differential equations
• Time−dependent dynamical symmetries, associated constants of motion, and symmetry deformations of the Hamiltonian in classical particle systems
• Time-dependent dynamical symmetry mappings and associated constants of motion for classical particle systems. II

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