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September 2011, 3(3): 337-362. doi: 10.3934/jgm.2011.3.337
Integrable Euler top and nonholonomic Chaplygin ball
Andrey Tsiganov 1,
St. Petersburg State University, St. Petersburg, Russian Federation
Received April 2011 Revised July 2011 Published November 2011
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: bi-Hamiltonian geometry., Integrable nonholonomic systems.
Mathematics Subject Classification: Primary: 34D20; Secondary: 70E40, 37J3.
Citation: Andrey Tsiganov. Integrable Euler top and nonholonomic Chaplygin ball. Journal of Geometric Mechanics, 2011, 3 (3) : 337-362. doi: 10.3934/jgm.2011.3.337
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Andrey Tsiganov