Continuous versions of some discrete maps or what goes on when the lights go out

DOI10.1007/BF02790360zbMath0809.58020MaRDI QIDQ1333791

Percy A. Deift

Publication date: 18 October 1994

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

singular value decomposition\(R\)-matrixelliptic integraldiscrete mapscompletely integrable Hamiltonian systembilliard ball problem

Mathematics Subject Classification ID

Topological dynamics (37B99) 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)

Related Items (1)

Algorithms associated with arithmetic, geometric and harmonic means and integrable systems

Cites Work

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• What is a classical r-matrix?
• Hamiltonian group actions and integrable systems
• The QR algorithm and scattering for the finite nonperiodic Toda lattice
• Discrete versions of some classical integrable systems and factorization of matrix polynomials
• Matrix factorizations and integrable systems
• Accurate Singular Values of Bidiagonal Matrices
• The toda flow on a generic orbit is integrable
• The Bidiagonal Singular Value Decomposition and Hamiltonian Mechanics
• Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions

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