Интегрируемые гамильтоновы системы - Болсинов А.В.
ISBN 5-7029-0352-8
Скачать (прямая ссылка):
[224] Эйлер Л. Механика. М.-Л., ГИТТЛ, 1938.
[225] Якоби К. Лекции по динамике. М.-Л., 1936.
[226] Яхъя X. М. Новые интегрируемые случаи задачи о движении гиростата. // Вестник МГУ, сер. матем., механ., 1987, №4, с. 88-90.
[227] Adams С. С. Hyperbolic structures on link complements. Preprint, University of Wisconsin, Madison, WI, 1983.
[228] Adams С. C. The non-compact hyperbolic 3-manifold of minimal volume. // Proc. Amer. Math. Soc. 1987, v. 100, pp. 601-606.
[229] Adler M. P., van Moerbeke P. Completely integrable systems, Euclidean Lie algebras and curves and linearization of Hamiltonian systems, Jacobi varietes and representation theory. // Adv. Math., 1980, v. 30, pp. 267-379.
[230] Adler М., van Moerbeke P. The Kowalewski and Henon-Heiles motions as Manakov geodesic flows on SO(4). A two-dimensional family of Lax pairs. // Comm. Math. Phys. 1988. v. 113, №4, pp. 659-700.
[231] Adler М., van Moerbeke P. The complex geometry of the Kowalevski-Pailleve analysys. // Invent. Math. v. 97, 1989, pp. 3-51.
[232] Adler M. and P. van Moerbeke. Kowalewski’s asymptotic method, Kac-Moody algebras, and regularizations. // Comm. Math. Phys., v. 83, 1982, pp. 83-106.
432
Литература
[233] Albert С., Brouzet R., Dufour J.-P., editors. Integrable Systems and Foliations. // Birkhauser, Progress in Mathematics, v. 145, 1997.
[234] Asimov D. Round handles and non-singular Morse-Smale flows. // Ann. Math.,
1975, v. 102, №1, pp. 41-54.
[235] Atiyah M. Convexity and commuting Hamiltonians. // Bull. London Math. Soc. 1982, №14, pp. 1-15.
[236] Audin M. The topology of torus action on symplectic manifolds. // Progr. Math., v. 93, Basel, Birkhauser, 1991.
[237] Audin M. Spinning Tops. // Cambridge Studies in Advanced Mathematics. Vol. 51. Cambridge Unibersity Press, 1996.
[238] Audin M. Courbes Algebriques et Systemes Integrables: Geodesiques des quadriques. // Expo. Math. 12, 1994, pp. 193-226.
[239] Audin М., Silhol R. Varietes Abeliennes Reelles et Toupie de Kowalewski Compositio Math. 87, 1993, pp. 153-229.
[240] Bar-Natan D. On the Vassiliev knot invariants. // Topology, 1995, v. 34, №2, pp. 423-472.
[241] Bates L. Monodromy in the champagne bottle. // Journal of Applied Mathematics and Physics (ZAMP), 1991, v. 42, pp. 837-847.
[242] Birkhoff G. D. Sur le probleme restreint des trois corps.
I. Annali della Scuola Normale Superiora de Pisa, 1935, v. 4, pp. 267-306.
II. Annali della Scuola Normale Superiora de Pisa, 1936, v. 5, pp. 1-72.
[243] Bogoyavlensky О. I. New integrable problem of classical mechanics. // Com. Math. Phys. 1984, v. 94, pp. 255-269.
[244] Bogoyavlensky О. I. On perturbations of the periodic Toda lattices. // Com. Math. Phys. v. 51, 1976, pp. 201-209.
[245] Bolotin S. V., Negrini P. Variational criteria for nonintegrability. // Russian Journal of Math. Physics, (to appear).
[246] Bolotin S. V. Homoclinic orbits of geodesic flows on surfaces. // Russian Journal of Math. Physics, 1992, v. 1.
[247] Bolotin S. V., Kozlov V. V. Symmetry fields of geodesic flows. // Russian Journal of Math. Phys. v. 3, №3, pp. 279-295.
[248] Bolsinov A. V. Commutative families of functions related to consistent Poisson brackets. // Acta Applic. Math., 24 (1991), pp. 253-274.
[249] Bolsinov A. V. Methods of calculation of the Fomenko-Zieschang invariant. // In: Advances in Soviet Mathematics, v. 6, AMS, pp. 147-183.
Литература
433
[250] Bolsinov А. V. Fomenko’s invariants in the theory of integrable Hamiltonian systems. // Topology and Applecations. International Topological Conference dedicated to P. S. Alexandroff’s 100-th birthday. Moscow, May 27-31, 1996, Moscow, Phasis, pp. 27-34.
[251] Bolsinov A. V. Integrable Hamiltonian systems with two degrees of freedom. // In: Fomenko A. Т., Kunii T. L. Topological Modeling for Visualization. Springer-Verlag, 1997, pp. 313-330.
[252] Bolsinov A.V., Fomenko A. T. Application of classification theory for integrable Hamiltonian systems to geodesic flows on 2-sphere and 2-torus and to the description of the topological structure of momentum mapping near singular points. // Journal of Mathematical Sciences, v. 78, № 5, 1996, pp. 542-555.
[253] Bolsinov A.V., Oshemkov A. A., Sharko V. V. On classification of flows on manifolds. I. // Methods of Functional Analysis and Topology, 1996, v. 2, № 2, pp. 190-204.
[254] Bott R. Nondegenerate critical manifolds. // Annals of Mathematics, v. 60, 1954, pp. 249-261.
[255] Calogero F. Exactly solvable one-dimensional many-body problems. // Lett. Nuovo Cimento, v. 13, 1975, pp. 411-416.
[256] Calogero F. Solution of the one-dimensional ЛГ-body problems with quadratic and/or inversely quadratic pair potentials. // J. Math. Phys. v. 12, 1971, pp. 419-436.
[257] Casler B. G. An embedding theorem for connected 3-manifolds with boundary. // Proc. Amer. Math. Soc. 1965, v. 16, №4, pp. 559-566.
[258] Cavicchioli A., Repovs D., Skopenkov A. An extension of the Bolsinov-Fomenko theorem on orbital classification of integrable Hamiltonian systems. (In print).
