Recently, femtosecond laser techniques have been developed that are capable of bringing gas molecules to extremely fast rotation in a very short time, while keeping their translational motion relatively slow. Here we study collisional equilibration dynamics of this new state of molecular gases. We show that the route to equilibrium starts with a metastable 'gyroscopic stage' in the course of wh...

A software system elaborated on the basis of the computer algebra software package ”Mathematica” has been employed in investigations of stability of a relative equilibrium position for an uncontrolled satellite having a gravitation stabilizer on a circular orbit. Domains of various degrees of Poincaré instability have been revealed in the space of introduced parameters. Under the assumption tha...

We provide necessary and sufficient conditions for Lyapunov stabilizability and exponential stabilizability by the energy shaping method for the class of all linear controlled Lagrangian systems of an arbitrary degree of under-actuation, and for the class of all controlled Lagrangian systems of one degree of under-actuation. We give a sufficient condition for asymptotic stabilizability for the ...

In this paper we discuss the stability and instability properties of two classes of conservative dynamical systems which have two interconnected components: a nite-dimensional and an innnite-dimensional subsystem. The nite-dimensional component is a linear mechanical system with gyroscopic terms and it is coupled to a wave equation deened on an innnite spatial domain via two diierent types of c...

Numerical methods for the solution of large scale structured quadratic eigenvalue problems are discussed. We describe a new extraction procedure for the computation of eigenvectors and invariant subspaces of skew-Hamiltonian/Hamiltonian pencils using the recently proposed skew-Hamiltonian isotropic implicitly restarted Arnoldi method (SHIRA). As an application we discuss damped gyroscopic syste...

This paper describes and presents preliminary experimental results from a novel prototype energy scavenging system installed in a model 2m cylindrical Autonomous Underwater Vehicle (AUV). The system, which is based on control moment gyroscope (CMG) principles, utilises the gyroscopic response of a gimballed flywheel mounted within an AUV body to generate energy from the wave induced rotational ...