Bloch, Anthony M.; Karp, Steven N. Symmetric Toda, gradient flows, and tridiagonalization. (English) Zbl 1530.37076 Physica D 450, Article ID 133766, 10 p. (2023). Reviewer: Maxime Fairon (Glasgow) MSC: 37J35 37J37 70H06 17B80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bloch, Anthony M.; Karp, Steven N. Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties. (English) Zbl 1526.17011 Commun. Math. Phys. 398, No. 3, 1213-1289 (2023). MSC: 17B08 14M15 15B48 17B45 20G20 37B35 81T60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S. The geometric nature of the Flaschka transformation. (English) Zbl 1368.37065 Commun. Math. Phys. 352, No. 2, 457-517 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J05 17B08 17B80 × Cite Format Result Cite Review PDF Full Text: DOI
Bloch, Anthony M.; Gekhtman, Michael I. Lie algebraic aspects of the finite nonperiodic Toda flows. (English) Zbl 1120.37044 J. Comput. Appl. Math. 202, No. 1, 3-25 (2007). Reviewer: Radu Precup (Cluj-Napoca) MSC: 37K10 37K60 37K30 × Cite Format Result Cite Review PDF Full Text: DOI
Koelling, Melinda E.; Bloch, Anthony M.; Gekhtman, Michael Qualitative behavior of non-Abelian Toda-like flows. (English) Zbl 1067.37093 Physica D 199, No. 3-4, 317-338 (2004). MSC: 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Bloch, Anthony M. Asymptotic Hamiltonian dynamics: The Toda lattice, the three-wave interaction and the non-holonomic Chaplygin sleigh. (English) Zbl 0964.37042 Physica D 141, No. 3-4, 297-315 (2000). Reviewer: Robert Carroll (Urbana) MSC: 37K05 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Bloch, Anthony M.; Gekhtman, Michael I. Hamiltonian and gradient structures in the Toda flows. (English) Zbl 0929.35146 J. Geom. Phys. 27, No. 3-4, 230-248 (1998). MSC: 35Q58 37K10 37C10 × Cite Format Result Cite Review PDF Full Text: DOI
Bloch, Anthony M.; Brockett, Roger W.; Ratiu, Tudor S. Completely integrable gradient flows. (English) Zbl 0766.58027 Commun. Math. Phys. 147, No. 1, 57-74 (1992). Reviewer: Walter Oevel (Loughborough) MSC: 37K30 37J35 37K10 35Q58 × Cite Format Result Cite Review PDF Full Text: DOI
Bloch, Anthony M.; Brockett, Roger W.; Ratiu, Tudor S. A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map. (English) Zbl 0715.58033 Bull. Am. Math. Soc., New Ser. 23, No. 2, 477-485 (1990). Reviewer: J.Chrastina MSC: 37C10 22E99 37J35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Bloch, A. M.; Flaschka, H.; Ratiu, T. A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra. (English) Zbl 0715.58004 Duke Math. J. 61, No. 1, 41-65 (1990). Reviewer: A.Dimca MSC: 37J06 37J37 17B99 53D20 × Cite Format Result Cite Review PDF Full Text: DOI