One invariant measure and different poisson brackets for two non-holonomic systems
Author:
Publisher
Pleiades Publishing Ltd
Subject
Mathematics (miscellaneous)
Link
http://link.springer.com/content/pdf/10.1134/S1560354712010078.pdf
Reference38 articles.
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2. Chaplygin, S. A., On the Theory of Motion of non-holonomic Systems. The Reducing-Multiplier Theorem, Regul. Chaotic Dyn., 2008, vol. 13, no. 4, pp. 369–376 [Original Russian publication: Mat. Sb., 1912, vol. 28, no. 2, pp. 303–314].
3. Balseiro, P., Marrero, J.C., Martin de Diego, D., and Padrón, E., A Unified Framework for Mechanics: Hamilton-Jacobi Equation and Applications, Nonlinearity, 2010, vol. 23, pp. 1887–1918.
4. Bloch, A.M., Fernandez, O. E., and Mestdag, T., Hamiltonization of non-holonomic Systems and the Inverse Problem of the Calculus of Variations, Rep. Math. Phys., 2009, vol. 63, no. 2, pp. 225–249.
5. Borisov, A. V. and Mamaev, I. S., The Chaplygin Problem of the Rolling Motion of a Ball Is Hamiltonian, Mat. Zametki, 2001, vol. 70, no. 5, pp. 793–795 [Math. Notes, 2001, vol. 70, no. 5, pp. 720–723].
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