Regular and chaotic dynamics in the rubber model of a Chaplygin top

Author:

Borisov Alexey V.,Kazakov Alexey O.,Pivovarova Elena N.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference41 articles.

1. Afraimovich, V. S. and Shil’nikov, L.P., Strange Attractors and Quasiattractors, in Nonlinear Dynamics and Turbulence, G. I. Barenblatt, G. Iooss, D. D. Joseph (Eds.), Interaction Mech. Math. Ser., Boston,Mass.: Pitman, 1983, pp. 1–34.

2. Armour, R.H. and Vincent, J. F. V., Rolling in Nature and Robotics: A Review, J. Bionic Eng., 2006, vol. 3, no. 4, pp. 195–208.

3. Bizyaev, I. A., Nonintegrability and Obstructions to the Hamiltonianization of a Nonholonomic Chaplygin Top, Dokl. Math., 2014, vol. 90, no. 2, pp. 631–634; see also: Dokl. Akad. Nauk, 2014, vol. 458, no. 4, pp. 398–401.

4. Bolsinov, A.V., Borisov, A. V., and Mamaev, I. S., Rolling of a Ball without Spinning on a Plane: The Absence of an Invariant Measure in a System with a Complete Set of Integrals, Regul. Chaotic Dyn., 2012, vol. 17, no. 6, pp. 571–579.

5. Borisov, A. V. and Fedorov, Yu. N., On Two Modified Integrable Problems in Dynamics, Mosc. Univ. Mech. Bull., 1995, vol. 50, no. 6, pp. 16–18; see also: Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 6, pp. 6–102.

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