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4 papers · 2 filters
Stability of equilibrium states in the Zhukovski case of heavy gyrostat using algebraic methods
Dan Comanescu
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 solvi…
Stability problem for the torque-free gyrostat by using algebraic methods
Dan Comanescu
We apply an algebraic method for studying the stability with respect to a set of conserved quantities for the problem of torque-free gyrostat. If the conditions of this algebraic m…
On a class of three dimensional quadratic Hamiltonian systems
Răzvan M. Tudoran
The purpose of this article is to compute the normal form of a class of general quadratic Hamiltonian systems that generalizes naturally Euler's equations from the free rigid body…
The free rigid body dynamics: generalized versus classic
Razvan M. Tudoran
In this paper we analyze the normal forms of a general quadratic Hamiltonian system defined on the dual of the Lie algebra of real - skew - symmetric matrices…