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arXiv · 1112.3481

Stability of equilibrium states in the Zhukovski case of heavy gyrostat using algebraic methods

Dan Comanescu
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Abstract

We study the stability of the equilibrium points of a skew product system. We analyze the possibility to construct a Lyapunov function using a set of conserved quantities and solving an algebraic system. We apply the theoretical results to study the stability of an equilibrium state of a heavy gyrostat in the Zhukovski case.

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Dan Comanescu. 2011-12-15. Stability of equilibrium states in the Zhukovski case of heavy gyrostat using algebraic methods. https://doi.org/10.1002/mma.2595

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