Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion
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Publication:653251
DOI10.1134/S1560354709040108zbMath1229.70062MaRDI QIDQ653251
Publication date: 9 January 2012
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Hamilton-Jacobi equations in mechanics (70H20)
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Cites Work
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- The Poisson bracket compatible with the classical reflection equation algebra
- Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
- Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
- Darboux-Nijenhuis variables for open generalized Toda chains
- The Maupertuis Principle and Canonical Transformations of the Extended Phase Space
- The Kowalewski top: A new Lax representation
- Dynamical boundary conditions for integrable lattices
- Canonical transformations of the extended phase space, Toda lattices and the Stäckel family of integrable systems
- Properties of the canonical transformations of the time for the Toda lattice and the Henon-Heiles system
- Boundary conditions for integrable quantum systems
- A unified treatment of quartic invariants at fixed and arbitrary energy
- On two different bi-Hamiltonian structures for the Toda lattice
- A family of the Poisson brackets compatible with the Sklyanin bracket
- The master integrable two-dimensional system with a quartic second integral
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