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Authors: | Cerminara, Matteo | Title: | Una derivazione semplice delle proprieta di stabilita del Tippe Top | Journal: | Bollettino della Unione Matematica Italiana B | Issue Date: | 2007 | Abstract: | 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. |
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