The SVD flows on generic symplectic leaves are completely integrable
From MaRDI portal
Publication:1362614
DOI10.1006/aima.1997.1628zbMath0899.58024OpenAlexW1964790685MaRDI QIDQ1362614
Publication date: 7 July 1998
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/aima.1997.1628
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
Linearizing Toda and SVD flows on large phase spaces of matrices with real spectrum, Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure, Two results on a class of Poisson structures on Lie groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The local structure of Poisson manifolds
- What is a classical r-matrix?
- Nonlinear Poisson structures and r-matrices
- The QR algorithm and scattering for the finite nonperiodic Toda lattice
- A differential equation approach to the singular value decomposition of bidiagonal matrices
- Poisson geometry of the analog of the Miura maps and Bäcklund-Darboux transformations for equations of Toda type and periodic Toda flows
- Two results on a class of Poisson structures on Lie groups
- Matrix factorizations and integrable systems
- On the complete integrability of some Lax systems on 𝐺𝐿(𝑛,𝑅)×𝐺𝐿(𝑛,𝑅)
- The toda flow on a generic orbit is integrable
- The Bidiagonal Singular Value Decomposition and Hamiltonian Mechanics
- On the Complete Integrability of some Lax Equations on a Periodic Lattice
- Dressing transformations and Poisson group actions