Integrable Euler top and nonholonomic Chaplygin ball

A. G. Reyman; A. Lichnerowicz; A. P. Markeev; A. V. Bolsinov; A. V. Borisov; A. V. Borisov; A. V. Borisov; A. V. Borisov; A. V. Tsiganov; A. V. Tsiganov; A. V. Tsiganov; A. V. Tsiganov; A. V. Tsiganov; A. V. Tsiganov; A. V. Tsiganov; A. V. Tsiganov; A. V. Tsiganov; A. V. Tsiganov; A. Weinstein; B. Jovanovic; C. G. J. Jacobi; C. Morosi; D. Schneider; E. G. Gallop; E. G. Kalnins; F. Fassò; G. Falqui; I. V. Komarov; I. Vaisman; J. C. Eilbeck; J. J. Duistermaat; J. L. Synge; J.-L. Koszul; K. Ehlers; M. Audin; O. Babelon; O. I. Bogoyavlenskiĭ; R. Abraham; S. A. Chaplygin; S. A. Chaplygin; S. Hochgerner; S. Wojciechowski; T. E. Kouloukas; T. Ohsawa; V. B. Kuznetsov; V. V. Kozlov; V. V. Kozlov; W. Macke; Yu. N. Fedorov

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Integrable Euler top and nonholonomic Chaplygin ball

Abstract

We discuss the Poisson structures, Lax matrices,

r

-matrices, bi-hamiltonian structures, the variables of separation and other attributes of the modern theory of dynamical systems in application to the integrable Euler top and to the nonholonomic Chaplygin ball.Comment: 25 pages, LaTeX with AMS fonts, final versio

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