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

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.

References in corpus (3)

• Hamilton-Poisson formulation for the rotational motion of a rigid body in the presence of an axisymmetric force field and a gyroscopic torque
• Stability problem for the torque-free gyrostat by using algebraic methods
• Invariant critical sets of conserved quantities

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