Multiparticle systems. The algebra of integrals and integrable cases
From MaRDI portal
Publication:6651564
A. V. Borisov, Alexander A. Kilin, I. S. Mamaev
Publication date: 10 December 2024
Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)
Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Hamiltonian and Lagrangian mechanics (70Hxx)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Lagrange's identity and its generalizations
- On maximally superintegrable systems
- Generalized problem of two and four Newtonian centers
- The restricted two-body problem in constant curvature spaces
- A generalisation of the Calogero-Moser system
- The simple relation between certain dynamical systems
- Kepler's problem in constant curvature spaces
- Three integrable Hamiltonian systems connected with isospectral deformations
- Completely integrable Hamiltonian systems connected with semisimple Lie algebras
- Leçons sur les invariants intégraux. Cours professé à la Faculté des Sciences de Paris.
- Sur le mouvement d'un point matériel, soumis à une force donnée, sur une surface fixe et dépolie.
- Über das Problem der Bewegung von vier Massenpunkten unter dem Einflusse von inneren Kräften.
- Some particular solutions in the problem of \(n\) bodies.
- Über die Zentralbewegung in der nicht-euklidischen Geometrie.
- Die Mechanik in den nichteuklidischen Raumformen.
- Ueber Bewegungen eines Punktes.
- Founding an invariant theory of the contact transformations.
- On a transformation of the differential equations of dynamics.
- Meromorphic parametric non-integrability; the inverse square potential
- Two-body problem on a sphere. Reduction, stochasticity, periodic orbits
- A concept of the mass center of a system of material points in the constant curvature spaces
- On the regular reduction of the \(n\)-dimensional problem of \(N+1\) bodies to Euler-Poincaré equations on the Lie algebra \(sp(2N)\)
- On the reduction of dynamical systems by means of parametrized invariant relations.
- On a symmetrical canonical reduction of the problem of three bodies.
- Spinning gas clouds without vorticity: The two missing integrals
- Spinning gas clouds: Liouville integrability.
- A class of superintegrable systems of Calogero type
- Dynamical symmetries in a spherical geometry. I
- Sur l'elimination des noeuds dans le problème des trois corps.
- The Inverse-Cube Central Force Field in Quantum Mechanics
- Spinning gas clouds - without vorticity
- Spin Calogero–Moser systems associated with simple Lie algebras
- Superintegrability of the Calogero–Moser system: Constants of motion, master symmetries, and time-dependent symmetries
- On the superintegrability of Calogero-Moser-Sutherland model
- Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
- Galilei Group and Law of Gravitation
- Libration points in spaces \(S^2\) and \(L^2\)
This page was built for publication: Multiparticle systems. The algebra of integrals and integrable cases
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6651564)