Пуассоновые структуры алгебры ли в гамильтоновой механике - Борисов А.
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[215] CalogeroF., Ragnisco 0., Marchioro C. Exact solution of the classical and, quantum one-dimensional many-body problems with the two-body potential V(x) = g^a2/sh2 аж. Lett. Nuovo Cimento, v. 13, 1975, p. 383-387.
[216] CampbellL. J., ZiffR. M. Vortex patterns and energies in a rotation superfluid. Phys. Rev. B., v. 20, 1979, №5, p. 1886-1901.
[217] Casimir H. B. G. Rotation of a Rigid Body in Quantum Mechanics. PhD Thesis, J. B. Wolters' Uitgevers-Maatschappij, M. V. Groningen, den Haag, Batavia, 1931.
[218] Castilla M.S. A.C., MoauroV., Ncgrini P. P., Oliva V.M. The non-intergability of the four positive vortices problem. PhD Thesis, Dip. Mat. Universita, Trento, UTM, May 1992.
[219] Chernoivan V. A., Marnaev I. S. Restricted, problems of two bodies in curvatured spaces. Reg. & Ch. Dynamics, 1999 (to appear).
[220] Chang Y. F., Green I. M., TaberM., Weiss J. The analitic structure of dynamical systems and self-similar natural boundaries, Physica D, v. 8, 1983, p. 183-207.
[221] Chernikov N. A. The Kepler problem in the Lobachevsky space and, its solution. Acta Phys. Polonica, v. 23, 1992, p. 115-124.
[222] ChristiaiisenF., RughH.H., RughS.E. Non-integrability of the mix-master universe. J. Phys. A., v. 28, 1995, p. 657 667.
[223] Clebsch A. Uber die Bewegung eines Korpers in einer Flussigkeit. Math. Annalen, Bd. 3, 1871, S. 238-262.
[224] Conn J. Linearizaiion of analitic Poisson structures. Anuals of Math., v. 119, 1984, p. 577 601.
[225] ContopoulosG., GrammaticosB., Ramani A. Painleve analysis for the mixmaster universe model. J. Phys. A, Math. Gen., v. 26, 1993, p. 5795-5799. 450 ЛИТЕРАТУРА
[226] D'HokerE., PhogD.H. Calogero-Moser Lax Pairs with spectral parameter for general Lie algebras. UCLA/98/TEP/9, Columbia/Math/98, NSF-ITP-98-060, 1998.
[227] DiracP. A.M. GeneraMsaied Hamiltonian Dinarnics. Canadian J. of Math., v. 2, 1950, №2, p. 129-148.
[228] DairiiaiiouP. A. Multiple Hamiltonian structures for Toda-type systems. J. Math. Phys., v. 35, 1994, p. 5511 5541.
[229] Dufour J.-P., Haraki A. Rotaiionnels et structures de Poisson quadratiques. C.R.Acad. Sei. Paris, v. 312, Ser. 1, 1991p. 137 140.
[230] Dyson F.J. Statistical theory of the energy levels of complex system,s. I, II, III. J. of Math. Phys., v. 3, 1962, №1, p. 140-156; 157-165; 166-175.
[231] Eckhardt B. Fractal properties of scattering singularities. J. Phys. A, v. 20, 1987, p. 5971-5979.
[232] Eckhardt B. Irregular scattering of vortex pairs. Europhys. Lett., v. 5(2), 1988, №2, p. 107-111.
[233] EckhardtB. Integrahle four vortex motion. Phys. Fluids, v. 31(10), 1988, p. 2796-2801.
[234] Fairbanks L. Lax equation representation of certain completely integrable systems. Comp. Math., v. 68, 1988, p. 31-40.
[235] Fedorov Yu. N., Kozlov V.V. Memoirs on integrable systems. Springer-Verlag, 1998 (to appear).
[236] Fernandes R. L. Completely integrable bi-Hamiltonian systems. J. Dyn. Diff. Eq., v. 6, 1994, p. 53 69.
[237] FlaschkaH. The Toda lattice I. Existence of integrals. Phys. Rev., 1974, №9, p. 1924-1925.
[238] FurtaS.D. On non-integrability of general system of differential equations. ZAMM, v. 47, 1996, p. 112-131.
[239] GoloV.L. Nonlinear regimes in spin dynamics of superfluid 3He. Lett. Math. Phys., v. 5, 1981, p. 155-159. ЛИТЕРАТУРА 451
[240] Grarrimaticos В., Dorizzi В., Ramani A. Hamiltonian.4 with high-order integrals and the «weak-Painleve» concept. J. Math. Phys., v. 25, 1984, p. 3470-3473.
[241] Griffiths P. A. Linearising flows and a cohomological interpretation of Lax equation. Amer. J. of Math., v. 107, 1985, p. 1445-1483.
[242] Greenhill A. G. Ріале vortex motion. Quart. J. Pure Appl. Math., v. 15, 1877/78, №58, p. 10 27.
[243] Grobli W. Specialle Probleme uber die Bewegung geredliniger paralleler Wirbelfaden. Vierteljahrsch. d. Naturforsch. Geselsch, v. 22, 1877, p. 37-81, 129-165.
[244] Gustavson F. On conctracting formal integrals of a Hamiltonian system near an equilibrium, point. Astron. J., v. 71, 1966, p. 670-686.
[245] Gutkin E. Integrable hamiltonians with exponential potentials. Physica D, v. 16, 1985, p. 398-404.
[246] Haine L. Geodesic flow on 50(4) and abelian surfaces. Math. Ann., v. 4, 1983, p. 435-472.
[247] HaineL., Horozov E. A. Lax pair for Kowalewski's top. Physica D, v. 29, 1987, p. 173 180.
[248] HenonM., Heiles C. The applicability of the third integral of motion; some numerical experiments. Astron. J., 1964, №69, p. 73-79.
[249] Henon M. Integrals of the Toda lattice. Phys. Rev., 1974, №9, p. 1921-1923.
[250] Higgs P. W. Dynamical symmetries in a spherical geometry. I. J. Phys. A., v. 12, 1979, №3, p. 309-323.
[251] Hitchin N. Stable Bundles and Integrable Systems. Duke Math. J., v. 54, 1987, p. 91-114.
[252] ItohY. Integrals of a Lotka-Volterra System of Odd Number of Variables. Prog. Theor. Phys., v. 78, 1987, №3, p. 507-510.
[253] Julliard Tosel E. Non-integrabilite algebrique et meromorphe de prob-lemes de N corps. These de Doctorat de FUnivcrsite Paris VII, 1999. 452 ЛИТЕРАТУРА
