On Sufficient Conditions of Stability of the Permanent Rotations of a Heavy Triaxial Gyrostat

In this work using as a main tool geometric–mechanics methods we study the permanent rotations of a particular type of heavy triaxial gyrostat. Also, we obtain sufficient conditions of stability of the permanent rotations found previously through the Energy–Casimir method.

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Bibliographic Details
Published in:Qualitative theory of dynamical systems 2015-10, Vol.14 (2), p.265-280
Main Authors: de Bustos Muñoz, M. Teresa, Guirao, Juan Luis García, Vera López, Juan Antonio, Campuzano, Antonio Vigueras
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
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Summary:In this work using as a main tool geometric–mechanics methods we study the permanent rotations of a particular type of heavy triaxial gyrostat. Also, we obtain sufficient conditions of stability of the permanent rotations found previously through the Energy–Casimir method.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-014-0128-6