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Пуассоновые структуры алгебры ли в гамильтоновой механике - Борисов А.

Борисов А. , Мамаев И.С. Пуассоновые структуры алгебры ли в гамильтоновой механике — Удмуртский университет, 1999. — 470 c.
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[254] Jung С. Poincare тар for scattering states. J. Phys. A, v. 19, 1986, p. 1345 1353.

[255] JungC. Can the integrability of Hamiltonian system be decided by the knowledge of scattering data? J. Phys. A, v. 20, 1987, p. 1719-1731.

[256] Karman von Th. Uber den Mechanismus des Widerstands, den ein bewegter Korper in einer Flussigkeit erfahzt. Gottiiigen Nach. Math. Phys., Kl, 1911, p. 509-519.

[257] KazdanD., KonstantB., SternbergS. Hamiltonian group actions and dynamical systems of Calogero type. Comm. Pure Appl. math., v. 31, 1978, №4, p. 481 507.

[258] KhaninK.M. Quasi-periodic motions of vortex systems. PhysicaD., v. 4, 1982, p. 261 269.

[259] Kholmskaya A. G. On a disk sliding within a sphere. Reg. & Ch. Dynamics, v. 3, 1998, №2, p. 74-81.

[260] KidambiR., Newton P. Motion of the three point vortices on a sphere. Physica D, 1998, v. 116, p. 143-175.

[261] KidambiR., Newton P. Collaps of the three vortices on a sphere. Preprint, 1998 (to appear, Nuovo Cimento, 1999).

[262] Kilin A. A. Libration points on S2 and L2 spaces. Reg. & Ch. Dynamics, v. 4, 1999, №1 (to appear).

[263] Kirillov A. A. Billiards in cosmological models. Reg. & Ch. Dynamics, v. 1, 1996, №2, p. 13 22.

[264] Kirwan F. The topology of reduced phase spaces of the motion of vortices on a sphere. Physica D, v. 30, 1988, p. 99-123.

[265] KimuraY., Okamoto H. Vortex Motion on a Sphere. J. of Phys. Soc. Jap., v. 56, 1987, № 12, p. 4203-4206.

[266] Knorrer H. Genesics on quadratics and a mechanical problem of C. Neumann. J. Reine Angew. Math., v. 334, 1982, p. 69-78.

[267] Kottcr F. Die von Steklow und Liapunow entdeckten integralen Falle der Bewegung eines starren Korpers in einer Flussigkeit. Sitzungsber. Koniglich Preusischen Akad. Wiss, 1900, № 6, p. 79-87. ЛИТЕРАТУРА

453

[268] Kampen E.R. van, Wintrier A. On a Hyrnrnetrical canonical reduction of the problem of three bodies. Amer. J. Math., v. 59, 1937, №1, p. 153-166.

[269] Kozlov V. V. ProMemata Nova, ad Quorum, Solutionem Maihematici Invitantur. Amer. Math. Soc. Transl. (2), v. 168, 1995, p. 239 254.

[270] Kozlov V. V., Harin A. 0. Kepler's problem in constant curvature spaces. Cel. Mcch. and D.yn. Ast., v. 54, 1992, p. 393-399.

[271] Kupershmidt B. A. Discrete Lax equations and differential-difference calculus. Asterisque, v. 123, 1985.

[272] Kuznetsov V. B., Tsiganov A. V. A special case of Neumann's system and the Kowalewski—Chaplygin—Goryachev top. J. Phys. A, v. 22, 1989, p. L73-L79.

[273] LauraE. Sul moto para,Uelo ad, un piano un fluido in cul vi, sono N vortioi elementari. Atti della Reale Accad., v. 37, 1902, p. 369 476.

[274] Laura E. Sulle equazioni differenziali canoniche del moto di un sistema, di vortici elementari, rettilinei e paraIleli in un fluido imcompressibile idefinito. Atti della Reale Accad., v. 40, 1905, p. 296-312.

[275] LiL., Parmentier S. Nonlinear Poisson structures and r-matrices. Comm. Math. Phys., v. 125, 1989, p. 545-563.

[276] Lichrierowicz A. Les varietes de Poisson et leurs a,lgebres de Lie associees. J. Diff. Geom., v. 12, 1977, p. 253 300.

[277] Lichncrowicz A. Varietees de Poisson et feuilletages. Ann. Fac. Sei., v. 4, 1982, p. 195-262.

[278] LieS. Theorie der Transform a, Hortgruppen. V. Teubner, Leipzig5Bd 1, 1888.

[279] Lim С. Nonexistence of Lyapounov function and the instability of the von Karman vortex street. Phys. of Fluids, v. 5(9)A, 1993, p. 2229-2233.

[280] Liouville J. Developpements sur un chapitre de la Mecanique de Poisson. J. Math. Pures et Appl., v. 3, 1858, p. 1-25. 454 ЛИТЕРАТУРА

[281] Lochak P. Pairing of the Kowalevski exponents in Hamiltonian systems. Phys. Lett., v. 108A, 1985, №4, p. 188 190.

[282] Magri F. A simple model of the integrable Hamiltonian equation. J. Math. Phys., v. 19, 1978, №5, p. 1156-1162.

[283] MakiK., EbisawaH. Exact magnetic ringing solutions in superfluid 3He-B. Phys. Rev., v. 13B, 1976, №7, p. 2924-2930.

[284] MarsdenJ., Pekarsky S. Point vortices on a sphere: stability of relative equilibria. J. Math. Phys., v. 39, 1998, № 11, p. 5894-5907.

[285] MarsdcnJ., PckarskyS., Shkoller S. Stability of relative equilibria of point vortices on a sphere and, symplectic integrators. (to appear in Nuovo Cimento).

[286] MarsdenJ., Weinstein A. Reduction of Symplectic manifolds with symmetry. Rep. on Math. Phys., v. 5, 1974, №5, p. 121 130.

[287] MarsdcnJ., Weinstein A. Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. Physica D, v. 7, 1983, p. 305-332.

[288] MarsdenJ., Ratiu T.S. Introduction to mechanics and symmetry. A basic exposition of classical, mechanical systems. Springer-Verlag, 1994.

[289] Melander M. V., Zabusky N.J, Styezek A. S. A moment model for vortex interactions of two-dimensional Euler equation. Part I. Computational validation of hamiltonian elliptical representasion. J. Fluid. Mec., v. 167, 1986, p. 95-115.

[290] Milnor J. On the geometry of the Kepler Problem. American Mathematical Monthly, .June-July 1983, p. 353-365.
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