Stability of relative equilibria of multidimensional rigid body

2012/03/18 by Izosimov, Anton · 1 citation
#37J25 #37J35 #70E15 #Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1203.3985

Abstract

It is a classical result of Euler that the rotation of a torque-free three-dimensional rigid body about the short or the long axis is stable, whereas the rotation about the middle axis is unstable. This result is generalized to the case of a multidimensional body.

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• Stability analysis for the pseudo-Riemannian geodesic flows of step-two nilpotent Lie groups

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