First integrals of holonomic systems without Noether symmetries
From MaRDI portal
Publication:3386500
DOI10.1063/5.0029487zbMath1489.70004arXiv2012.11275OpenAlexW3114085022WikidataQ114103832 ScholiaQ114103832MaRDI QIDQ3386500
Antonios Mitsopoulos, Michael Tsamparlis
Publication date: 4 January 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.11275
Related Items (5)
Cubic first integrals of autonomous dynamical systems in E2 by an algorithmic approach ⋮ Perturbation to conformal invariance and adiabatic invariants of generalized perturbed Hamiltonian system with additional terms ⋮ Higher order polynomial complex invariants for one-dimensional anharmonic potentials ⋮ Higher order first integrals of autonomous dynamical systems ⋮ Integrable time-dependent central potentials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hidden symmetries and Killing tensors
- Structural equations for a special class of conformal Killing tensors of arbitrary valence
- Noether's theory in classical nonconservative mechanics
- Two-dimensional dynamical systems which admit Lie and Noether symmetries
- Integrability and non-integrability in Hamiltonian mechanics
- Projective collineations in Einstein spaces
- On the geometry of Killing and conformal tensors
- Geometrical classification of Killing tensors on bidimensional flat manifolds
- Killing tensors and symmetries
- Characteristic functional structure of infinitesimal symmetry mappings of classical dynamical systems. I. Velocity-dependent mappings of second-order differential equations
- Killing tensors in spaces of constant curvature
- Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations
- Geodesic first integrals with explicit path-parameter dependence in Riemannian space–times
- Dynamical Noether symmetries
- A new conservation law constructed without using either Lagrangians or Hamiltonians
- Invariant variation problems
- A gauge invariant formulation of time-dependent dynamical symmetry mappings and associated constants of motion for Lagrangian particle mechanics. I
- Killing tensors and conformal Killing tensors from conformal Killing vectors
- Dynamical symmetries and constants of the motion for classical particle systems
- Quadratic first integrals of autonomous conservative dynamical systems
- Related First Integral Theorem: A Method for Obtaining Conservation Laws of Dynamical Systems with Geodesic Trajectories in Riemannian Spaces Admitting Symmetries
- Special quadratic first integrals of geodesics
- Related integral theorem. II. A method for obtaining quadratic constants of the motion for conservative dynamical systems admitting symmetries
- The Fundamental Theorem on Quadratic First Integrals
This page was built for publication: First integrals of holonomic systems without Noether symmetries
