Integrable Euler top and nonholonomic Chaplygin ball

Andrey Tsiganov

doi:10.3934/jgm.2011.3.337

Article Contents

2011, Volume 3, Issue 3: 337-362. Doi: 10.3934/jgm.2011.3.337

This issue Previous Article Killing's equations for invariant metrics on Lie groups Next Article

Integrable Euler top and nonholonomic Chaplygin ball

Andrey Tsiganov^1,

1.
St. Petersburg State University, St. Petersburg

Received: March 31, 2011

Revised: June 30, 2011

Published: August 2011

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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.

Keywords:

Integrable nonholonomic systems,
bi-Hamiltonian geometry.

Mathematics Subject Classification: Primary: 34D20; Secondary: 70E40, 37J35.

Citation:

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