Spiral chaos in the nonholonomic model of a Chaplygin top
Author:
Publisher
Pleiades Publishing Ltd
Subject
Mathematics (miscellaneous)
Link
http://link.springer.com/content/pdf/10.1134/S1560354716070157.pdf
Reference82 articles.
1. Shen, J., Schneider, D.A., and Bloch, A.M., Controllability and Motion Planning of a Multibody Chaplygin’s Sphere and Chaplygin’s Top, Internat. J. Robust Nonlinear Control, 2008, vol. 18, no. 9, pp. 905–945.
2. Borisov, A.V., Kazakov, A.O., and Sataev, I.R., The Reversal and Chaotic Attractor in the Nonholonomic Model of Chaplygin’s Top, Regul. Chaotic Dyn., 2014, vol. 19, no. 6, pp. 718–733.
3. Borisov, A.V., Mamaev, I. S., and Bizyaev, I.A., Historical and Critical Review of the Development of Nonholonomic Mechanics: The Classical Period, Regul. Chaotic Dyn., 2016, vol. 21, no. 4, pp. 455–476.
4. Chaplygin, S. A., On a Ball’s Rolling on a Horizontal Plane, Regul. Chaotic Dyn., 2002, vol. 7, no. 2, pp. 131–148; see also: Math. Sb., 1903, vol. 24, no. 1, pp. 139–168.
5. Borisov, A. V., Kilin, A.A., and Mamaev, I. S., The Problem of Drift and Recurrence for the Rolling Chaplygin Ball, Regul. Chaotic Dyn., 2013, vol. 18, no. 6, pp. 832–859.
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