On perturbations of the periodic Toda lattice
Identifieur interne : 003407 ( Istex/Curation ); précédent : 003406; suivant : 003408On perturbations of the periodic Toda lattice
Auteurs : O. I. Bogoyavlensky [Russie]Source :
- Communications in Mathematical Physics [ 0010-3616 ] ; 1976-10-01.
English descriptors
- KwdEn :
- Algebra, Bogoyavlensky, Commutation relations, Constant momentum, Coxeter group, Coxeter groups, Hamiltonian, Hamiltonian system, Hamiltonian systems, Initial stages, Lattice, Orthogonal basis, Oscillation regimes, Oscillatory regime, Pair form, Pair representation, Periodic toda lattice, Qualitative theory, Scalar product, Separatrix, Separatrix approximation, Singular point, Singular points, Soviet zhurn, Toda, Toda lattice.
- Teeft :
- Algebra, Bogoyavlensky, Commutation relations, Constant momentum, Coxeter group, Coxeter groups, Hamiltonian, Hamiltonian system, Hamiltonian systems, Initial stages, Lattice, Orthogonal basis, Oscillation regimes, Oscillatory regime, Pair form, Pair representation, Periodic toda lattice, Qualitative theory, Scalar product, Separatrix, Separatrix approximation, Singular point, Singular points, Soviet zhurn, Toda, Toda lattice.
Abstract
Abstract: A class of Hamiltonian systems including perturbations of the periodic Toda lattice and homogeneous cosmological models is studied. Separatrix approximation of oscillation regimes in these systems connected with Coxeter groups is obtained. Hamiltonian systems connected with simple Lie algebras are pointed out, which generalize the system describing periodic Toda lattice and allow theL -A pair representation.
Url:
DOI: 10.1007/BF01617919
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