Una derivazione semplice delle proprietaà di stabilità del "Tippe Top"
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 895-915
We consider the problem of the inversion of stability in the gyroscopic top known in literature as Tippe Top taking place in dynamical conditions. Such a top has a spherical shape with the baricenter not coincident with the geometrical center. The same problem has been investigated in many papers using various methods (here we refer in particular to [2] and [5]). We will show that the tech- nique employed in [2] can be simplified, leading in a much simpler way to the conditions implying the stability inversion (i.e. the transition from the config- uration in which the baricenter lie below the geometrical center to the opposite one) in the form enunciated in [5]. The method utilized allows to obtain stability result concerning non-spherical tops.
@article{BUMI_2007_8_10B_3_a30,
author = {Cerminara, Matteo},
title = {Una derivazione semplice delle proprieta\`a di stabilit\`a del {"Tippe} {Top"}},
journal = {Bollettino della Unione matematica italiana},
pages = {895--915},
year = {2007},
volume = {Ser. 8, 10B},
number = {3},
zbl = {1250.70008},
mrnumber = {2507904},
language = {it},
url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a30/}
}
TY - JOUR AU - Cerminara, Matteo TI - Una derivazione semplice delle proprietaà di stabilità del "Tippe Top" JO - Bollettino della Unione matematica italiana PY - 2007 SP - 895 EP - 915 VL - 10B IS - 3 UR - http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a30/ LA - it ID - BUMI_2007_8_10B_3_a30 ER -
Cerminara, Matteo. Una derivazione semplice delle proprietaà di stabilità del "Tippe Top". Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 895-915. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a30/