In this paper the evolution of the phase space density of particle beams in external fields is presented proceeding from the conti ity equation in the six-dimensional (6D) phase space ( -space). Such a way the Robinson theorem, which includes the Liouville theorem as a special case, was proved in a more simple and consistent alternative way valid for arbitrary external fields, averaged fields ...

The rheology of suspensions showing discontinuous shear thickening (DST) is well documented in conventional rheometer with rotating tools, but their study capillary flow still lacking. We present results obtained a homemade working an imposed pressure regime. show that the shape experimental curve giving volume rate versus wall stress can be qualitatively reproduced from rotational geometry at ...

The inverted pendulum is a canonical problem in both Nonlinear Dynamics and Control Theory. In this article, the phenomenon of dynamic stabilization of the vertically driven inverted pendulum is investigated experimentally and numerically. We resolve the first stabilizing boundary in driving parameter space, as well as investigate the effects of frictional damping on the dynamics of the pendulu...

An equine fetlock joint pendulum test was studied and the influence of post mortem time and intra-articular lipid solvent on the viscous frictional response examined. Fresh equine digits (group 1, n=6 controls; group 2, n=6 lipid solvent) were mounted on a pendulum tribometer. Assuming that pendular joint damping could be modelled by a harmonic oscillator fluid damping (HOFD), damping time (τ),...

We consider the extension of the classical mathematical theory of plasticity to frictional materials. It is shown that the apparently nonassociated plastic flow characteristics often observed in such materials can be accounted for by models that are variational in structure. In addition, the theory predicts a number of new terms and functional relationships that appear to have particular releva...

Multivariate integration of high dimension s occurs in many applications. In many such applications, for example in finance, integrands can often be approximated by sums of functions of just a few variables. In this situation the superposition (or effective) dimension is small, and we can model the problem with finite-order weights, where the weights describe the relative importance of each dis...