Integrable Euler top and nonholonomic Chaplygin ball

Published 5 Feb 2010 in nlin.SI, math-ph, math.DS, math.MP, and physics.class-ph | (1002.1123v2)

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.

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A V Tsiganov

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