Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback

Author:

Borisov Alexey V.,Jalnine Alexey Yu.,Kuznetsov Sergey P.,Sataev Igor R.,Sedova Julia V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference33 articles.

1. Grad. Texts in Math.;V. I. Arnol’d,1989

2. Abraham, R. and Marsden, J.E., Foundations of Mechanics, Providence, R. I.: AMS, Chelsea, 2008.

3. Borisov, A. V. and Mamaev, I. S., The Rolling Motion of a Rigid Body on a Plane and a Sphere: Hierarchy of Dynamics, Regul. Chaotic Dyn., 2002, vol. 7, no. 2, pp. 177–200.

4. Nonholonomic Dynamical Systems: Integrability, Chaos, Strange Attractors, A. V. Borisov, I. S. Mamaev (Eds.), Moscow-Izhevsk: R&C Dynamics, Institute of Computer Science, 2002 (Russian).

5. Borisov, A. V. and Mamaev, I. S., Strange Attractors in Rattleback Dynamics, Uspekhi Fiz. Nauk, 2003, vol. 173, no. 4, pp. 408–418 [Physics-Uspekhi, 2003, vol. 46, no. 4, pp. 393–403].

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