Comments on Ciocci~M.\,C. et~al. ``Towards a Prototype of a Spherical Tippe''
Russian journal of nonlinear dynamics, Tome 8 (2012) no. 2, pp. 427-430.

Voir la notice de l'article provenant de la source Math-Net.Ru

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A. A. Zobova. Comments on Ciocci~M.\,C. et~al. ``Towards a Prototype of a Spherical Tippe''. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 2, pp. 427-430. http://geodesic.mathdoc.fr/item/ND_2012_8_2_a13/

[1] O'Brien S., Synge J. L., “The instability of the tippe-top explained by sliding friction”, Proc. Roy. Irish Acad. Sect. A., 56:3 (1954), 23–35 | MR

[2] Rumyantsev V. V., “Ob ustoichivosti dvizheniya girostatov nekotorogo vida”, PMM, 25:4 (1961), 778–784

[3] Contensou P., “Couplage entre frottement de glissement et frottement de pivotement dans la théorie de la toupie”, Kreiselprobleme Gyrodynamics, IUTAM Symp. Celerina, Springer, Berlin, 1963, 201–216 ; Kontensu P., “Svyaz mezhdu treniem skolzheniya i treniem vercheniya i ee uchet v teorii volchka”, Problemy giroskopii, Mir, M., 1967, 60–67 | MR

[4] Magnus K., Kreisel: Theorie und Anwendungen, Springer, Berlin, 1971, 493 pp. ; Magnus K., Giroskop: teoriya i primenenie, Mir, M., 1974, 526 pp. | MR | Zbl

[5] Karapetyan A. V., “O regulyarnoi pretsessii tela vrascheniya na gorizontalnoi ploskosti s treniem”, PMM, 46:4 (1982), 568–572

[6] Markeev A. P., “K dinamike volchka”, MTT, 1984, no. 3, 30–38

[7] Karapetyan A. V., Rubanovskii V. N., “Ob ustoichivosti statsionarnykh dvizhenii nekonservativnykh sistem”, PMM, 50:1 (1986), 43–49 | Zbl

[8] Karapetyan A. V., “Kachestvennoe issledovanie volchka na ploskosti s treniem”, PMM, 55:4 (1991), 698–701 | MR | Zbl

[9] Markeev A. P., Dinamika tela, soprikasayuschegosya s tverdoi poverkhnostyu, Nauka, M., 1992, 336 pp. | MR | Zbl

[10] Ebenfeld S., Scheck F., “A new analysis of the tippe top: Asymptotic states and Liapunov stability”, Ann. Physics, 243:2 (1995), 195–217 | DOI | MR | Zbl

[11] Karapetyan A. V., Ustoichivost statsionarnykh dvizhenii, Editorial URSS, M., 1998, 165 pp.

[12] Leine R. I., Gloker Ch., “A set-valued force law for spatial Coulomb–Contensou friction”, Eur. J. Mech. A Solids, 22 (2003), 193–216 | DOI | MR | Zbl

[13] Bou-Rabee N. M., Marsden J. E., Romero L. A., “Tippe top inversion as a dissipation-induced instability”, SIAM J. Appl. Dyn. Syst., 3:3 (2004), 352–377 | DOI | MR | Zbl

[14] Rauch-Wojciechowski S., Sköldstam M., Glad T., “Mathematical analysis of the tippe top”, Regul. Chaotic Dyn., 10:4 (2005), 333–362 | DOI | MR | Zbl

[15] Ciocci M. C., Langerock B., “Dynamics of the tippe top via Routhian reduction”, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 12:6 (2007), 602–614 | MR | Zbl

[16] Karapetyan A. V., “Globalnyi kachestvennyi analiz dinamiki kitaiskogo volchka (tip-top)”, MTT, 2008, no. 3, 33–41 | MR

[17] Zobova A. A., Karapetyan A. V., “Analiz statsionarnykh dvizhenii volchka tip-top”, PMM, 73:6 (2009), 867–877 | MR

[18] Zobova A. A., “Different models of friction in double-spherical tippe-top dynamics”, IUTAM Symposium on Dynamics Modeling and Interaction Control in Virtual and Real Environments, IUTAM Bookser., 30, Springer, Dordrecht, 2011, 265–272 | DOI | MR