The Toda flow on a generic orbit is integrable
HTML articles powered by AMS MathViewer
References
- M. Adler, On a trace functional for formal pseudo differential operators and the symplectic structure of the Korteweg-de Vries type equations, Invent. Math. 50 (1978/79), no. 3, 219–248. MR 520927, DOI 10.1007/BF01410079
- Bertram Kostant, The solution to a generalized Toda lattice and representation theory, Adv. in Math. 34 (1979), no. 3, 195–338. MR 550790, DOI 10.1016/0001-8708(79)90057-4
- W. W. Symes, Hamiltonian group actions and integrable systems, Phys. D 1 (1980), no. 4, 339–374. MR 601577, DOI 10.1016/0167-2789(80)90017-2
- H. Flaschka, The Toda lattice. I. Existence of integrals, Phys. Rev. B (3) 9 (1974), 1924–1925. MR 408647, DOI 10.1103/PhysRevB.9.1924
- Jürgen Moser, Finitely many mass points on the line under the influence of an exponential potential–an integrable system, Dynamical systems, theory and applications (Rencontres, Battelle Res. Inst., Seattle, Wash., 1974) Lecture Notes in Phys., Vol. 38, Springer, Berlin, 1975, pp. 467–497. MR 0455038
- P. Deift, L. C. Li, and C. Tomei, Toda flows with infinitely many variables, J. Funct. Anal. 64 (1985), no. 3, 358–402. MR 813206, DOI 10.1016/0022-1236(85)90065-5
- P. Deift, T. Nanda, and C. Tomei, Ordinary differential equations and the symmetric eigenvalue problem, SIAM J. Numer. Anal. 20 (1983), no. 1, 1–22. MR 687364, DOI 10.1137/0720001
Additional Information
- Journal: Bull. Amer. Math. Soc. 11 (1984), 367-368
- MSC (1980): Primary 22E25, 58F07, 70H99
- DOI: https://doi.org/10.1090/S0273-0979-1984-15311-4
- MathSciNet review: 752800