Integrable Euler top and nonholonomic Chaplygin ball

Details Integrable Euler top and nonholonomic Chaplygin ball Integrable Euler top and nonholonomic Chaplygin ball

2010-02-05

arxiv.org/abs/1002.1123v2

Journal of geometric Mechanics, v.3, n.3, p.337 - 362, 2011

Nonlinear Sciences

Exactly Solvable and Integrable Systems

25 pages, LaTeX with AMS fonts, final version

Scientific paper

10.3934/jgm.2011.3.337

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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