Dynamics of a rolling and sliding disk in a plane. Asymptotic solutions, stability and numerical simulations
Author:
Publisher
Pleiades Publishing Ltd
Subject
Mathematics (miscellaneous)
Link
http://link.springer.com/content/pdf/10.1134/S1560354716020052.pdf
Reference26 articles.
1. Appell, P., Sur l’intégration deséquations du mouvement d’un corps pesant de révolution roulant par une arête circulaire sur un plan horizontal: cas particulier du cerceau, Rend. Circ. Mat. Palermo, 1900, vol. 14, no. 1, pp. 1–6.
2. Borisov, A. V., Mamaev, I. S., and Kilin, A.A., Dynamics of Rolling Disk, Regul. Chaotic Dyn., 2003, vol. 8, no. 2, pp. 201–212.
3. Borisov, A.V., Mamaev, I. S., and Karavaev, Yu. L., On the Loss of Contact of the Euler Disk, Nonlinear Dynam., 2015, vol. 79, no. 4, pp. 2287–2294.
4. Chaplygin, S.A., On a Motion of a Heavy Body of Revolution on a Horizontal Plane, Regul. Chaotic Dyn., 2002, vol. 7, no. 2, pp. 119–130; see also: Collected Works: Vol. 1, Moscow: Gostekhizdat, 1948, pp. 51–57.
5. Cohen, C. M., The Tippe Top Revisited, Am. J. Phys., 1977, vol. 45, no. 1, pp. 12–17.
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