Научная литература
booksshare.net -> Добавить материал -> Физика -> Болсинов А.В. -> "Интегрируемые гамильтоновы системы " -> 189

Интегрируемые гамильтоновы системы - Болсинов А.В.

Болсинов А.В., Фоменко А.Т. Интегрируемые гамильтоновы системы — И.: Удмуртский университет, 1999. — 444 c.
ISBN 5-7029-0352-8
Скачать (прямая ссылка): integriruemiesistemi1999.pdf
Предыдущая << 1 .. 183 184 185 186 187 188 < 189 > 190 191 192 .. 193 >> Следующая


[259] Chinburg T. Volumes of hyperbolic manifolds. // J. Diff. Geom. 1983, v. 18, pp. 783-789.

[260] Chinburg T. A small arithmetic hyperbolic 3-manifolds. // Proc. Amer. Math. Soc., 1987, v. 100, pp. 140-144.

[261] Clebsch A. Uber die Bewegung eines Korpers in einer Fliissigkeit. // Math. Ann., Leipzig, 1871, №3, S. 238-262.

[262] Colin de Verdiere Y., Vey J. Le lemme de Morse isochore. / / Topology, v. 18(1979), pp. 283-293.

[263] Cushman R. H. Geometry of the bifurcations of the Henon-Heiles family. // Proceedings of the Royal Society, London, series A, 1982, v. 382, pp. 361-371.

[264] Cushman R. H., Bates L. M. Global aspects of Classical Integrable Systems. Birkhauser Verlag, Basel, Boston, Berlin, 1997.
434

Литература

[265] Cushman R., Knorrer H. The energy momentum mapping of the Lagrange top. // Lecture notes in math. 1985, v. 1136, pp. 12-24.

[266] Cushman R., van de Meer J.-C. The Hamiltonian Hopf bifurcation in the Lagrange top. // Lecture notes in math., 1991, v. 1416, pp. 26-38.

[267] Darboux G. Sur le probleme de PfafF. // Bulletin des Sciences Mathematique, 1882, v. 6, pp. 14-36 and pp. 48-68.

[268] Darboux G. Lecons sur la theorie generale des surfaces et les applications geometriques du calcul infenitesimal. Paris, Gautier, Villar, 1891.

[269] Dimitrov I. Bifurcations of Invariant Manifold in the Gelfand-Dikii System. // Physics letters A, 163, 1992, pp. 286-292.

[270] Dini U. Sopra un problema che si presenta nella theoria generale delle rapprezetazioni geograpfice di unasuperficie su di unaltra // Ann. di Math. Ser. 2, т. 3, 1869, 269-293.

[271] Dirac P. Generalized Hamiltonian dynamics. // Canadian Journal of Mathematics, 1950, v. 2, pp. 129-148.

[272] Donagi R., Markman E. Spectral Covers, Algebraically Completely Integrable Hamiltonian Systems and Moduli of Bundles. Montecatini Terme // 1993, Lecture Notes in Math., v. 1620.

[273] Dragovich V. I. On integrable potential perturbations of the Jacobi problem dor the geodesics on the ellipsoid. // J. Phys. A: Math. Gen. v. 29, 1996, pp. 317-321.

[274] Dufour J.-P., Molino P., Toulet A. Classification des systems integrables en

dimension 2 et invariants des modeles de Fomenko. // C. R. Ac. Sc., 1994.

[275] Duistermaat J. J. On global action-angle variables. // Comm. Pure Appl.

Math., 1980, v. 33, pp. 678-706.

[276] Dullin H.R., Wittek A. Efficient calculation of actions. // J. Phys. A:

Math. Gen., 27(1994), pp. 7461-7474.

[277] Dullin H.R., Juhnke М., Richter P. Action integrals and energy surfaces of the Kovalevskaya top. // International Journal of Bifurcation and Chaos, v. 4, №6, 1994, pp. 1535-1562.

[278] Dullin H.R., Wittek A. Complete Poincare sections and tangent sets. // J. Phys. A: Math. Gen. 28(1995), pp. 7157-7180.

[279] Dullin H. R., Matveev V. S., Topalov P. J. On integrals of third degree in Momenta, (in print).

[280] Edwards С. H. Concentricity in 3-manifolds. // Trans. Amer. Math. Soc., 1964, v. 113, №3, pp. 406-423.
Литература

435

[281] Eliasson L. H. Normal forms for Hamiltonian systems with Poisson commuting integrals — elliptic case. // Comm. Math. Helv., 65(1990), pp. 4-35.

[282] Euler L. Du mouvement de rotation des corps solides autour dun axe variable. // Memoires de l’academie des sciences de Berlin, 1758, v. 14, pp. 154-193.

[283] Farkas Hershel М., Kra Irwin. Riemann Surfaces. Springer-Verlag, 1980.

[284] Flaschka H., Ratiu T. A Morse theoretic proof of Poisson Lie Convexity. // In: Integrable Systems and Foliations (Editors: Albert C., Brouzet R., Dufour J.-P.) Birkhauser, Progress in Mathematics, v. 145, 1997, pp. 49-71.

[285] Fleitas G. Classification of gradient-like flows on dimensions two and three. // Bol. Soc. Bras. Mat., 1975, v. 6, pp. 155-183.

[286] Fomenko A. T. Topological Classification of All Integrable Hamiltonian Differential Equations of General Type with Two Degrees of Freedom. // In: The Geometry of Hamiltonian Systems. Proc. of a Workshop Held June 5-16,

1989. Berkeley, USA, Springer-Verlag, 1991, pp. 131-339.

[287] Fomenko A. T. Integrability and Nonintegrability in Geometry and Mechanics. Kluwer Acad. Publ.: Amsterdam, 1988.

[288] Fomenko A.T. Symplectic Geometry. (Second edition). Gordon and Breach,

1995.

[289] Fomenko A. T. The theory of invariants of multidimensional integrable Hamiltonian systems (with arbitrary many degrees of freedom). Molecular table of all integrable systems with two degrees of freedom. // In: Advances in Soviet Mathematics. Amer. Math. Soc., v. 6, 1991, pp. 1-36.

[290] Fomenko A. T. Theory of rough classification of integrable nondegenerate Hamiltonian differential equations on four-dimensional manifolds. Application to classical mechanics. // In: Advances in Soviet Mathematics. Amer. Math. Soc. v. 6, 1991, pp. 305-344.

[291] Fomenko A. T. List of all integrable Hamiltonian systems of general type with two degrees of freedom. «Physical zone» in this table. // In: Integrable and Superintegrable Systems. Edit. B. Kupershmidt. World Scientific Publ. Co. Ptl. Ltd. 1990, pp. 134-164.
Предыдущая << 1 .. 183 184 185 186 187 188 < 189 > 190 191 192 .. 193 >> Следующая

Реклама

c1c0fc952cf0704ad12d6af2ad3bf47e03017fed

Есть, чем поделиться? Отправьте
материал
нам
Авторские права © 2009 BooksShare.
Все права защищены.
Rambler's Top100

c1c0fc952cf0704ad12d6af2ad3bf47e03017fed