On projective symmetries of dynamical systems
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Publication:4140433
DOI10.1063/1.523529zbMath0365.70013OpenAlexW2068457491MaRDI QIDQ4140433
Publication date: 1978
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.523529
Dynamics of a system of particles, including celestial mechanics (70F99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Local differential geometry (53B99) Dynamical systems and ergodic theory (37-XX)
Cites Work
- Time−dependent dynamical symmetries, associated constants of motion, and symmetry deformations of the Hamiltonian in classical particle systems
- A gauge invariant formulation of time-dependent dynamical symmetry mappings and associated constants of motion for Lagrangian particle mechanics. I
- Time-dependent dynamical symmetry mappings and associated constants of motion for classical particle systems. II
- Dynamical symmetries and constants of the motion for classical particle systems
- Related First Integral Theorem: A Method for Obtaining Conservation Laws of Dynamical Systems with Geodesic Trajectories in Riemannian Spaces Admitting Symmetries
- Related integral theorem. II. A method for obtaining quadratic constants of the motion for conservative dynamical systems admitting symmetries
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