Sen, Tanaji; Tabor, M. Lie symmetries of the Lorenz model. (English) Zbl 0716.58016 Physica D 44, No. 3, 313-339 (1990). Reviewer: B.Fuchssteiner MSC: 37J35 37K10 37C10 37C80 × 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
Liu, Zhangju Quantum integrable systems constrained on the sphere. (English) Zbl 0709.58019 Lett. Math. Phys. 20, No. 2, 151-157 (1990). Reviewer: Tu Guizhang MSC: 37J35 37K10 37D40 53D25 81S10 × Cite Format Result Cite Review PDF Full Text: DOI
Mel’nikov, V. K. New method for deriving nonlinear integrable systems. (English) Zbl 0705.70003 J. Math. Phys. 31, No. 5, 1106-1113 (1990). MSC: 70A05 70H99 76X05 37J35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Watkins, D. S.; Elsner, L. On Rutishauser’s approach to self-similar flows. (English) Zbl 0701.58051 SIAM J. Matrix Anal. Appl. 11, No. 2, 301-311 (1990). Reviewer: Th.M.Rassias MSC: 37A30 37C10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Samojlenko, V. Gr.; Prikarpatskij, A. K.; Mikityuk, I. V. Abelian integrals, integrable dynamic systems of the Neumann-Rosochatius type, and the Lax representation. (English. Russian original) Zbl 0723.70012 Ukr. Math. J. 41, No. 8, 942-947 (1989); translation from Ukr. Mat. Zh. 41, No. 8, 1094-1100 (1989). MSC: 70H05 37J35 37K10 70G45 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Fajbusovich, L. E. The QR-algorithm and generalized Toda flows. (English. Russian original) Zbl 0699.58057 Ukr. Math. J. 41, No. 7, 806-813 (1989); translation from Ukr. Mat. Zh. 41, No. 7, 944-952 (1989). Reviewer: P.Prešnajder MSC: 37C10 15A23 × Cite Format Result Cite Review PDF Full Text: DOI
Horozov, Emil; Van Moerbeke, Pierre The full geometry of Kowalewski’s top and (1,2)-Abelian surfaces. (English) Zbl 0689.58020 Commun. Pure Appl. Math. 42, No. 4, 357-407 (1989). Reviewer: R.Schmid MSC: 37J35 37K10 14K20 × Cite Format Result Cite Review PDF Full Text: DOI
Adler, Mark; van Moerbeke, Pierre The complex geometry of the Kowalewski-Painlevé analysis. (English) Zbl 0678.58020 Invent. Math. 97, No. 1, 3-51 (1989). Reviewer: M.Farkas MSC: 37J35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Oliva, W. M.; Castilla, M. S. A. C. On the \(C^ k\)-integrability of some Toda-like Hamiltonian systems. (English) Zbl 0674.34003 Advanced topics in the theory of dynamical systems, Notes Rep. Math. Sci. Eng. 6,195-203 (1989). Reviewer: W.M.Oliva MSC: 34A05 70H05 × Cite Format Result Cite Review PDF
Li, Chun-Wang; Qin, Meng-Zhao A symplectic difference scheme for the infinite dimensional Hamiltonian system. (English) Zbl 0669.70019 J. Comput. Math. 6, No. 2, 164-174 (1988). MSC: 70H05 37J99 76A02 × Cite Format Result Cite Review PDF
Kaup, D. J. Cavitons are solitons: An integrable ponderomotive system. (English) Zbl 0663.76142 Phys. Fluids 31, No. 6, 1465-1470 (1988). MSC: 76X05 37J35 37K10 76A02 × Cite Format Result Cite Review PDF Full Text: DOI
Adams, M. R.; Harnad, J.; Previato, E. Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras. (English) Zbl 0659.58022 Commun. Math. Phys. 117, No. 3, 451-500 (1988). Reviewer: H.Knörrer MSC: 37J35 37K10 22E65 37C10 × Cite Format Result Cite Review PDF Full Text: DOI
Taĭmanov, I. A. On topological properties of integrable geodesic flows. (Russian) Zbl 0657.58028 Mat. Zametki 44, No. 2, 283-284 (1988). Reviewer: P. Khmelevska MSC: 37D40 53D25 37J35 37K10 × Cite Format Result Cite Review PDF
van Moerbeke, P. Linearizing completely integrable systems on complex algebraic tori. (English) Zbl 0659.70013 Dynamics of infinite dimensional systems, Proc. NATO Adv. Study Inst., Lisbon/Port. 1986, NATO ASI Ser., Ser. F 37, 421-449 (1987). Reviewer: E.Gutkin MSC: 70H05 37J35 37K10 37D40 53D25 37J99 × Cite Format Result Cite Review PDF
Fajbusovich, L. E. Generalized Toda flows, Riccati equations on the Grassmanian, and the QR- algorithm. (English. Russian original) Zbl 0658.34041 Funct. Anal. Appl. 21, No. 1-3, 166-168 (1987); translation from Funkts. Anal. Prilozh. 21, No. 2, 88-89 (1987). MSC: 37-XX 65F15 34C40 × Cite Format Result Cite Review PDF Full Text: DOI
Adler, Mark; van Moerbeke, Pierre The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows on SO(4) - a two-dimensional family of Lax pairs. (English) Zbl 0647.58022 Commun. Math. Phys. 113, 659-700 (1987). Reviewer: E.D.Belokolos MSC: 37J35 37K10 37D40 53D25 × Cite Format Result Cite Review PDF Full Text: DOI
Athorne, Chris; Fordy, Allan Generalized KdV and MKdV equations associated with symmetric spaces. (English) Zbl 0642.58034 J. Phys. A 20, 1377-1386 (1987). Reviewer: I.Ya.Dorfman MSC: 37J35 37K10 53C35 35Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Bloch, Anthony M. Lax-type flows on Grassmann manifolds. (English) Zbl 0639.58020 Differential geometry: the interface between pure and applied mathematics, Proc. Conf., Sant Antonio/Tex. 1986, Contemp. Math. 68, 39-50 (1987). Reviewer: C.Chicone MSC: 37J35 37K10 37J99 × Cite Format Result Cite Review PDF
Bechlivanidis, C.; van Moerbeke, P. The Goryachev-Chaplygin top and the Toda lattice. (English) Zbl 0638.58010 Commun. Math. Phys. 110, 317-324 (1987). Reviewer: E.D.Belokolos MSC: 37J35 37K10 37N99 × Cite Format Result Cite Review PDF Full Text: DOI
Previato, Emma Flows on r-gonal Jacobians. (English) Zbl 0632.14028 The legacy of Sonya Kovalevskaya, Proc. Symp., Radcliffe Coll. 1985, Contemp. Math. 64, 153-180 (1987). Reviewer: H.H.Martens MSC: 14H40 37C10 35Q99 14K25 37J35 37K10 × Cite Format Result Cite Review PDF
Fajbusovich, L. E. Generalized Toda flows, Riccati equations on Grassmannians and QR- algorithm. (Russian) Zbl 0621.34036 Funkts. Anal. Prilozh. 21, No. 2, 88-89 (1987). MSC: 37-XX 65F15 34C40 × Cite Format Result Cite Review PDF
Fried, David The cohomology of an isospectral flow. (English) Zbl 0618.58030 Proc. Am. Math. Soc. 98, 363-368 (1986). Reviewer: A.Riede MSC: 37C10 57R70 × Cite Format Result Cite Review PDF Full Text: DOI
Deift, P.; Li, L. C.; Nanda, T.; Tomei, C. The Toda flow on a generic orbit is integrable. (English) Zbl 0606.58020 Commun. Pure Appl. Math. 39, 183-232 (1986). Reviewer: R.Devaney MSC: 37J99 37J35 37K10 37C80 37K35 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Zak, M. Chaotic instability in three-body problem. (English) Zbl 0602.70012 Acta Mech. 61, 203-208 (1986). Reviewer: Hans Troger (Wien) MSC: 70F07 70G45 37J35 37K10 37D40 53D25 × Cite Format Result Cite Review PDF Full Text: DOI
Deift, P.; Li, L. C.; Tomei, C. Toda flows with infinitely many variables. (English) Zbl 0615.58016 J. Funct. Anal. 64, 358-402 (1985). Reviewer: D.Robert MSC: 37C10 47E05 47D03 × Cite Format Result Cite Review PDF Full Text: DOI
Gagnon, L.; Harnad, J.; Winternitz, P.; Hurtubise, J. Abelian integrals and the reduction method for an integrable Hamiltonian system. (English) Zbl 0597.70020 J. Math. Phys. 26, 1605-1612 (1985). Reviewer: D.Edelen MSC: 70H20 70H05 37J35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Mikityuk, I. V. On the integrability of invariant Hamiltonian systems with homogeneous configuration spaces. (English. Russian original) Zbl 0595.58024 Sov. Math., Dokl. 32, 272-276 (1985); translation from Dokl. Akad. Nauk SSSR 283, 1077-1080 (1985). Reviewer: B.G.Pachpatte MSC: 37J35 37K10 37J99 17B20 × Cite Format Result Cite Review PDF
Bogoyavlenskij, Oleg I. Methods in the qualitative theory of dynamical systems in astrophysics and gas dynamics. Transl. from the Russian by Dmitry Gokhman. (English) Zbl 0579.76001 Springer Series in Soviet Mathematics. Berlin etc.: Springer-Verlag. IX, 301 p. DM 144.00 (1985). Reviewer: V.Perlick MSC: 76-02 85-02 83C05 76X05 76N15 83F05 85A15 37-XX × Cite Format Result Cite Review PDF
Watkins, David S. Isospectral flows. (English) Zbl 0559.65018 SIAM Rev. 26, 379-391 (1984). Reviewer: E.Eitelberg MSC: 65F15 65L05 37C10 15A23 × Cite Format Result Cite Review PDF Full Text: DOI Link
Deift, P.; Li, L. C.; Nanda, T.; Tomei, C. The Toda flow on a generic orbit is integrable. (English) Zbl 0552.58017 Bull. Am. Math. Soc., New Ser. 11, 367-368 (1984). Reviewer: K.Furutani MSC: 37J35 37K10 37C10 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Moody T. The generalized Toda flow, the QR algorithm and the center manifold theory. (English) Zbl 0539.65015 SIAM J. Algebraic Discrete Methods 5, 187-201 (1984). Reviewer: H.Ade MSC: 65F15 15A23 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
van Moerbeke, P. L’intégrabilité hamiltonienne de Jacobi à nos jours. (English) Zbl 0531.58025 Feuilletages et quantification géométrique, Journ. lyonnaises Soc. math. France 1983, Sémin. sud-rhodanien Géom. II, 121-139 (1984). Reviewer: H.Knörrer MSC: 37J35 37K10 37J99 14K99 × Cite Format Result Cite Review PDF
van Moerbeke, P. The algebraic complete integrability of Hamiltonian systems. (English) Zbl 0594.70022 Modern developments in analytical mechanics, Vol. I: Geometrical dynamics, Proc. IUTAM-ISIMM Symp., Torino/Italy 1982, 443-456 (1983). Reviewer: T.Ratiu MSC: 70H25 37D40 53D25 × Cite Format Result Cite Review PDF
Kolokol’tsov, V. N. Geodesic flows on two-dimensional manifolds with an additional first integral that is polynomial in the velocities. (English) Zbl 0548.58028 Math. USSR, Izv. 21, 291-306 (1983). MSC: 37D40 53D25 53C22 37J35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Deift, P.; Nanda, T.; Tomei, C. Ordinary differential equations and the symmetric eigenvalue problem. (English) Zbl 0526.65032 SIAM J. Numer. Anal. 20, 1-22 (1983). MSC: 65F15 37-XX 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Aref, Hassan Point vortex motions with a center of symmetry. (English) Zbl 0535.76026 Phys. Fluids 25, 2183-2187 (1982). Reviewer: J.Burbea MSC: 76B47 76F99 76E30 70F05 37J35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Blot, Joel [Aze, Dominique] Systemes hamiltoniens: leurs solutions périodiques. Avec la collaboration de Dominique Aze. (French) Zbl 0524.70018 Textes Mathematiques, Recherche, 5. Paris: Cedic/Fernand Nathan. III, 290 p. FF 158.00 (1982). MSC: 70H05 37J99 70-02 76X05 76B25 34C25 35Q99 × Cite Format Result Cite Review PDF
Kolokol’tsov, V. N. Geodesic flows on two-dimensional manifolds with according to the velocities complementary polynomial first integral. (Russian) Zbl 0518.58033 Izv. Akad. Nauk SSSR, Ser. Mat. 46, No. 5, 994-1010 (1982). MSC: 37D40 53D25 37J35 37K10 53C22 × Cite Format Result Cite Review PDF
Mishchenko, A. S. Integration of geodesic flows on symmetric spaces. (English) Zbl 0502.58020 Math. Notes 31, 132-134 (1982). MSC: 37J35 37K10 37J99 53C30 × Cite Format Result Cite Review PDF Full Text: DOI
Mishchenko, A. S. Integration of geodesic flows on symmetric spaces. (Russian) Zbl 0487.58010 Mat. Zametki 31, 257-262 (1982). MSC: 37J35 37K10 37J99 53C30 × Cite Format Result Cite Review PDF
Petviashvili, Vladimir I. Multidimensional and dissipative solitons. (English) Zbl 1194.37109 Physica D 3, No. 1-2, 329-334 (1981). MSC: 37K10 35Q35 76D05 76X05 × Cite Format Result Cite Review PDF Full Text: DOI
Moser, Jürgen Integrable Hamiltonian systems and spectral theory. (English) Zbl 0527.70022 Lezioni Fermiane. Pisa: Accademia Nazionale dei Lincei. Scuola Normale Superiore. 84 p. (1981). MSC: 70H20 37J35 37K10 35R30 × Cite Format Result Cite Review PDF
Moser, Jürgen Various aspects of integrable Hamiltonian systems. (Russian) Zbl 0477.58015 Usp. Mat. Nauk 36, No. 5(221), 109-151 (1981). MSC: 37J99 37J35 37K10 37A30 53A05 53C22 37D40 53D25 × Cite Format Result Cite Review PDF
Moser, Jürgen Various aspects of integrable Hamiltonian systems. (English) Zbl 0468.58011 Dynamical systems, C.I.M.E. Lect., Bressanone 1978, Prog. Math. 8, 233-290 (1980). MSC: 37J35 37K10 37D40 53D25 35Q99 37J99 70G10 × Cite Format Result Cite Review PDF
Thimm, Anton On the integrability of geodesic flows on homogeneous spaces (Diss., Univ. Bonn 1980). (Über die Integrabilität geodätischer Flüsse auf homogenen Räumen.) (German) Zbl 0458.58019 Bonn. Math. Schr. 127, 89 S. (1980). Reviewer: K. Grove MSC: 37D40 53D25 37J35 37K10 53C30 × Cite Format Result Cite Review PDF
Moser, Jürgen Geometry of quadrics and spectral theory. (English) Zbl 0455.58018 Differential geometry, Proc. int. Chern Symp., Berkeley 1979, 147-188 (1980). MSC: 37J35 37K10 37J99 14H40 14H45 35Q99 × Cite Format Result Cite Review PDF
Adler, M.; Van Moerbeke, P. Completely integrable systems, Euclidean Lie algebras, and curves. (English) Zbl 0455.58017 Adv. Math. 38, 267-317 (1980). MSC: 37J35 37K10 37J99 53D50 70H05 70H99 17B10 17B99 14H40 × Cite Format Result Cite Review PDF Full Text: DOI
Adler, Mark; van Moerbeke, Pierre Linearization of Hamiltonian systems, Jacobi varieties and representation theory. (English) Zbl 0455.58010 Adv. Math. 38, 318-379 (1980). Reviewer: Mircea Puta (Timişoara) MSC: 37J35 53D50 17B10 14E05 14H40 × Cite Format Result Cite Review PDF Full Text: DOI
Adler, Mark Some finite dimensional integrable systems. (English) Zbl 0416.58013 Rocky Mt. J. Math. 8, 237-243 (1978). MSC: 37J35 37K10 81U10 × Cite Format Result Cite Review PDF Full Text: DOI