Reduction and realization in Toda and Volterra

DOI10.1134/S1560354708060075zbMath1229.37061arXiv0812.3644OpenAlexW3100278159MaRDI QIDQ652996

Pantelis A. Damianou

Publication date: 6 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3644

zbMATH Keywords

Toda latticebi-Hamiltonian systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (2)

Isospectral flows on a class of finite-dimensional Jacobi matrices ⋮ New global solutions of the Jacobi partial differential equations

Cites Work

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• Integrable hierarchies and the modular class
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• A simple model of the integrable Hamiltonian equation
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• Dirac submanifolds and Poisson involutions
• Integrals of the Toda lattice
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• The Toda lattice. II. Existence of integrals
• Dirac Manifolds
• Boundary conditions for integrable quantum systems
• Explicit solutions of classical generalized Toda models
• Hyperelliptic Prym varieties and integrable systems

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