Colloquium
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Stability Analysis for a Certain Class of Equilibria of a Generalized Free Rigid Body 多羅間 大輔 4月16日(金) 15時00分
In this talk, discussed is the stability of a certain class of equilibria in the generalized free rigid body dynamics on the Lie algebra so(n). It is well-known that the Euler equation for a generalized free rigid body can be regarded as a dynamical system on the (co)adjoint orbit, where the stability analysis is performed. A linear stability condition is obtained for the equilibria in the intersection of the (co)adjoint orbit with the coordinate type Cartan subalgebras in so(n). |
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