Пуассоновые структуры алгебры ли в гамильтоновой механике - Борисов А.
Скачать (прямая ссылка):
[181] AritonowichM., Ranch-Wojciechowski S. Lax representations for restricted flows of the KdV hierarhy and for the Kepler problem. Phys. Lett. A, v. 171, 1992, p. 303-310.
[182] Aref H. Point vortex motions with a center of symmetry. Phys. Fluids, 1982, v. 25 (12), p. 2183-2187.
[183] ArefH. Integrable, chaotic and, turbulent vortex motion in two-dimensional flows. Ann. Rev. Fluid Mech., v. 15, 1983, p. 345-389.
[184] ArefH. Motion of thme vortices revisited. Phys. Fluids., v. 31, 1988, №6, p. 1392 1409.
[185] ArefH. On the equilibrium aned stability of a row of point vortices. J. Fluid Mech., v. 290, 1995, p. 167-191.
[186] ArefH., Eckhardt B. Integrable and chaotic motion of four vortices II. Collision dinarnics of vortex pairs. Phil. Frans. R. Soc. Loud. A, v. 326, 1988, p. 655 696.
[187] ArefH., Pomphrey N. Integrable and chaotic motions of four vortices. Phys. Lett. A, v. 78, 1980, №4, p. 297-300.
[188] ArefH., Pomphrey N. Integrable and chaotic motions of four vori/ices. I. The case of identical vortices. Proc. R. Soc. London, v. 380 A, 1982, p. 359-387.
[189] ArefH., RottN., ThomannH. Grobli's solution of the three-vortex problem. Ann. Rev. Fluid Mech., v. 24, 1992, p. 1-20. ЛИТЕРАТУРА
447
[190] ArefH., Stremler М. On the m,otion of the three point, vortices in a periodic strip. J. Fluid Mech., v. 314, 1996, p. 1-25.
[191] ArefH., Vainstein D. L. Point vertices exhibit asymmetric equilibria. Nature, v. 392, 1998, 23 April, p. 769-770.
[192] AvanJ., BabelonO., Talon M. Construction of the classical R-ma,trices for Toda and, Calogero models. PAR LPTHE 93-31, hep-th9306102, JUNE 1993.
[193] Bagrets A. A., Bagrets D. A. Nonintegrability of two problems in vortex dynamics. Chaos, v. 7, 1997, №3, p. 368-375.
[194] BcchlivanidisC., van Mocrbeke P. The Goryachev—Chaplygin top and the Toda lattice. Comm. Math. Phys., v. 110, 1987, p. 317-324.
[195] BlochA., BrocketR,., Ratiu T. Completely Integrable Gradient flows. Comm. Math. Phys., v. 147, 1992, p. 57-74.
[196] Bobenko A. I., Reyman A. G., Semenov-Tian-Shansky M. A. The Kowalewski top 99 years later: a Lax, pair, generalisations and explicit, solutions. Comm. Math. Phys., v. 122, 1989, №2, p. 321-354.
[197] Bolotin S.V., Kozlov V. V. Symmetry Fields of Geodesic Flows. Russ. J. of Math. Phys., v. 3(3), 1995, p. 279-295.
[198] Bolsinov A. V., Borisov A. V., Mamaev I. S. Classification of algebra of n vortices on a plane. Solvable problems of vortices dynamics. R,eg.& Ch. Dynamics, 1999 (to appear).
[199] Bogoyavlensky О. I. On perturbations of the periodic, Toda lattice. Comm. Math. Phys., v. 51, 1976, p. 201-209.
[200] Bogoyavlensky О. I. Euler Equation on finite dimensional Lie algebras arising in physical problems. Comm. Math. Phys., v. 95, 1984, p. 307-315.
[201] Bogoyavlcnsky О. I. Extended Integrablity and Ы-Hamiltonian system. Comm. Math. Phys., v. 180, 1996, p. 529-586.
[202] Bogoyavlensky О. I. Theory of tensor invariants of integrable Hamiltonian systems I. Incompatible Poisson structures. Comm. Math. Phys., v. 180, 1996, p. 529-586. 448
ЛИТЕРАТУРА
[203] Bogoyavlensky О. I. Theory of tensor invariants of integrable Hamiltonian systems II. Theorem, on symmetries and its applications. Comm. Math. Phys., v. 184, 1997, p. 301-365.
[204] Boyarsky A. M. Singular orbits of coad,joint action of Lie groups. Reg. & Ch. Dynamics, v. 3, 1998, №2, p. 96-102.
[205] Borisov A. V., Pavlov A. E. Dynamics and Statics of Vortices on a Plane and, a Sphere — I. Reg. & Ch. Dynamics, v. 3, 1998, №1, p. 28 39.
[206] BorisovA.V., Lebedev V. G. Dynamics of Three Vortices on a Plane and a Sphere — II. General compact case. Reg. & Ch. Dynamics, v. 3, 1998, №2, p. 99-114.
[207] BorisovA.V., Lebedev V. G. Dynamics of three vortices on a plane and a sphere — III. Noncompact case. Problem of collaps and scattering. Reg. & Ch. Dynamics, v. 3, 1998, № 4, p. 76-90.
[208] Bountis T.C. Investigating non-integrability and chaos in complex time. Physica D, v. 86, 1995, p. 256-267.
[209] Bountis T.C., Drossos L.B. Evidence of a natural boundary and, nonintegrability of the mixmaster Universe model. J. of Nonlinear Sci., v. 7, 1997, p. 45-55.
[210] Brouzet R. About the existence of recursion operators for completely integrable Hwmiltonian systems near a, Lioville torus. J. Math. Phys., v. 34, 1993, p. 1309 1313.
[211] BruschiM., Ragnisco 0. Lax represantation and complete integrability for periodic relativistic Toda lattice. Phys. Lett. A, v. 134, 1989, p. 365-370.
[212] Calogero F. Solution, of the one-dimensional n-body problems with quadratic and/or inversly quadratic pair potentials. J. Math. Phys., v. 12, 1971, p. 419-436.
[213] Calogero F. Integrable many-body problems. Lecturcs given at NATO Advanced Study Institute on Nonlinear Equations in Physics and Mathematics, Istanbul, August 1977, p. 3-53. ЛИТЕРАТУРА
449
[214] CalogeroF., Perelornov А. М. Properties of certain matrices related to the equilibrium configuration of the one-dimentional many-body problems with the pair potentials H1 (ж) = — log | sin ж| and V2 = = 1/sin2a;. Comm. Math. Phys., v. 59, 1978, p. 109-116.
