In [17] it was suggested that the number of limit cycles in a piecewise-linear system could be closely related to the number of zones, that is the number of parts of the phase plane where the system is linear. In this note we construct an example of a class of perturbed piecewise systems with n zones such that the first variation of the displacement function is identically zero. Then we conject...

The instrumental seismic intensity of Japan Meteorological Agency (JMA) uses three types of filters which consist of high-cut, low-cut and period functions. An extended function of the low-cut filter is used to evaluate the effect of long-period range on seismic intensity in the paper. An asymptotic filter processing of acceleration in the extended function is proposed to express seismic intens...

A new numerical method of solution has been developed for the analysis of deformation and stresses in elastic bodies subjected to mixed boundary-conditions. The program is capable of dealing with both regular and irregular shapes of boundaries appropriately. An ideal mathematical model, based on the displacement potential function, has been used in the finite difference solution. The present pa...

Displacement mapping is a powerful technique for adding detail to three dimensional objects and scenes. While bump mapping gives the appearance of increased surface complexity, displacement mapping actually adds surface complexity resulting in correct silhouettes and no parallax errors. This paper presents the background to displacement mapping, current hardware implementations and how to use t...

We consider central limit theorems and their generalizations for matrix groups acting co-compactly or convex co-compactly on the hyperbolic plane. We consider statistical results for the displacement in the hyperbolic metric, the action on the boundary and the relationship with classical matrix groups.

Directional motion of droplets or bubbles can often be observed in nature and our daily life, and this phenomenon holds great potential in many engineering areas. The study shows that droplets or bubbles can be driven to migrate perpetually on some special substrates, such as the Archimedean spiral, the logarithmic spiral and a cantilever sheet in large deflection. It is found that a bubble app...

Quasi-two-dimensional bidisperse amorphous systems of steel beads are fluidized by a uniform upflow of air, so that the beads roll on a horizontal plane. The short-time ballistic motion of the beads is stochastic, with non-Gaussian speed distributions and with different average kinetic energies for the two species. The approach to jamming is studied as a function of increasing bead area fractio...