Voir la notice de l'article provenant de la source Math-Net.Ru
@article{ND_2013_9_3_a6, author = {Alexey V. Borisov and Ivan S. Mamaev and Yury L. Karavaev}, title = {On the loss of contact of the {Euler} disk}, journal = {Russian journal of nonlinear dynamics}, pages = {499--506}, publisher = {mathdoc}, volume = {9}, number = {3}, year = {2013}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/ND_2013_9_3_a6/} }
TY - JOUR AU - Alexey V. Borisov AU - Ivan S. Mamaev AU - Yury L. Karavaev TI - On the loss of contact of the Euler disk JO - Russian journal of nonlinear dynamics PY - 2013 SP - 499 EP - 506 VL - 9 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ND_2013_9_3_a6/ LA - ru ID - ND_2013_9_3_a6 ER -
Alexey V. Borisov; Ivan S. Mamaev; Yury L. Karavaev. On the loss of contact of the Euler disk. Russian journal of nonlinear dynamics, Tome 9 (2013) no. 3, pp. 499-506. http://geodesic.mathdoc.fr/item/ND_2013_9_3_a6/
[1] Bendik J., The official Euler's disk website, , Tangent Toy Co., Sausalito, CA http://www.eulersdisk.comhttp://www.tangenttoy.com
[2] Appel P., “Sur l'intégration des équations du mouvement d'un corps pesant de rédolution roulant par une arête circulaire sur up plan horizontal; cas parculier du cerceau”, Rendiconti del circolo matematico di Palermo, 14 (1900), 1–6 | DOI | Zbl
[3] Chaplygin S. A., “O dvizhenii tyazhelogo tela vrascheniya na gorizontalnoi ploskosti”: S. A. Chaplygin, Issledovaniya po dinamike negolonomnykh sistem, Gostekhizdat, M.–L., 1949, 9–27; Чаплыгин С. А., Собр. соч., т. 1, Огиз, M.–Л., 1948, 57–75
[4] Korteweg D., “Extrait d'une lettre à M. Appel”, Rendiconti del circolo matematico di Palermo, 14 (1900), 7–8 | DOI | Zbl
[5] Borisov A. V., Mamaev I. S., Kilin A. A., “Dynamic of rolling disk”, Regul. Chaotic Dyn., 8:2 (2003), 201–212 | DOI | MR | Zbl
[6] Moffatt H. K., “Euler's disk and its finite-time singularity”, Nature, 404 (2000), 833–834 | DOI
[7] van den Engh G., Nelson P., Roach J., “Numismatic gyrations”, Nature, 408 (2000), 540
[8] Bildsten L., “Viscous dissipation for Euler's disk”, Phys. Rev. E, 66 (2002), 056309, 2 pp. | DOI | MR
[9] Villanueva R., Epstein M., “Vibrations of Euler's disk”, Phys. Rev. E, 71 (2005), 066609, 7 pp. | DOI
[10] Kessler P., O'Reilly O. M., “The ringing of Euler's disk”, Regul. Chaotic Dyn., 7:1 (2002), 49–60 | DOI | MR | Zbl
[11] O'Reilly O. M., “The dynamics of rolling disks and sliding disks”, Nonlinear Dynam., 10 (1996), 287–305 | DOI | MR
[12] McDonald A. J., McDonald K. T., The rolling motion of a disk on a horizontal plane, Los Alamos National Laboratory, 2000, arXiv: physics/0008227
[13] Le Saux C., Leine R. L., Glocker C., “Dynamics of a rolling disk in the presence of dry friction”, J. Nonlinear Sci., 15:1 (2005), 27–61 | DOI | MR | Zbl
[14] Caps H., Dorbolo S., Ponte S., Croisier H., Vandewalle N., “Rolling and slipping motion of Euler's disk”, Phys. Rev. E, 69:5 (2004), 056610, 6 pp. | DOI | MR
[15] Stanislavsky A. A., Weron K., “Nonlinear oscillations in the rolling motion of Euler's disk”, Phys. D, 156:10 (2001), 247–259 | DOI | MR | Zbl
[16] Easwar K., Rouyer F., Menon N., “Speeding to a stop: The finite-time singularity of a spinning disk”, Phys. Rev. E, 66:4 (2002), 045102(R), 3 pp. | DOI
[17] Leine R. L., “Measurements of the finite-time singularity of the Euler disk”, Proc. of the 7th EUROMECH Solid Mechanics Conf. (Lisbon, Portugal, September 7–11, 2009), eds. J. Ambrosio et al.
[18] Leine R. L., “Experimental and theoretical investigation of the energy dissipation of a rolling disk during its final stage of motion”, Arch. Appl. Mech., 79:11 (2009), 1063–1082 | DOI | Zbl
[19] Saje M., Zupan D., “The rattling of Euler's disk”, Multidiscipline Modeling in Materials and Structures, 2:1 (2006), 49–66 | DOI
[20] Petrie D., Hunt J. L., Gray C. G., Does the Euler disk slip during its motion?, Amer. J. Phys., 70:10 (2002), 1025–1028 | DOI
[21] Mitsui T., Aihara K., Terayama C., Kobayashi H., Shimomura Y., Can a spinning egg really jump?, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 462:2074 (2006), 2897–2905 | DOI | MR | Zbl
[22] Branicki M., Shimomura Y., “Dynamics of an axisymmetric body spinning on a horizontal surface. 4: Stability of steady spin states and the «rising egg» phenomenon for convex axisymmetric bodies”, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 462:2075 (2006), 3253–3275 | DOI | MR | Zbl
[23] Batista M., “The nearly horizontally rolling of a thick disk on a rough plane”, Regul. Chaotic Dyn., 13:4 (2008), 344–354 | DOI | MR | Zbl
[24] Batista M., “Self-induced jumping of a rigid body of revolution on a smooth horizontal surface”, Internat. J. Non-Linear Mech., 43 (2008), 26–35 | DOI | Zbl
[25] Ivanov A. P., “On detachment conditions in the problem on the motion of a rigid body on a rough plane”, Regul. Chaotic Dyn., 13:4 (2008), 355–368 | DOI | MR | Zbl