We study a class of singularly perturbed dynamical systems that have fast and slow components, ε⪡1 being the fast to slow timescale ratio. The fast components are governed by a strongly mixing discrete map, which is iterated at time intervals ε. The slow components are governed by a...

This research examined the impact of community-policing programs on calls for service, Part 1 crime, total crime, and narcotics cases infour Houston neighborhoods. The methodology used time-senes analysis and examined lagged and dynamic effects. The analysis produced mixed results, indicating...

This article uses ARIMA and tobit analysis to examine the extent to which restrictive policies and intensified monitoring of "hot" pursuits by law enforcement officers induce these officers to ignore requirements that the initiation of such chases be communicated to their superiors and that...

Stable wrinkled fronts were often observed in experiments on fluid invasion into porous media, when the invaded phase is less viscous than the invading one. Recent experiments by a group at the Weizmann institute, show that capillary wetting of paper may also lead to rough self-affine fronts. A...

The extinction transition on a 1D heterogeneous substrate with diffusive correlations is studied. Diffusively correlated heterogeneity is shown to affect the location of the transition point, as the reactants adapt to the fluctuating environment. At the transition point the density decays like...

We consider a Jackson-type network comprised of two queues having state-dependent service rates, in which the queue lengths evolve periodically, exhibiting noisy cycles. To reduce this noise a certain heuristic, utilizing regions in the phase space in which the system behaves almost...

We present a study of interfacial pattern formation during diffusion-limited growth of Bacillus subtilis. It is demonstrated that bacterial colonies can develop patterns similar to morphologies observed during diffusion-limited growth in non-living (azoic) systems such as solidification and...

We consider a Jackson-type network comprised of two queues having state-dependent service rates, in which the queue lengths evolve periodically, exhibiting noisy cycles. To reduce this noise a certain heuristic, utilizing regions in the phase space in which the system behaves almost...

In the current era of strong worldwide market couplings the global financial village became highly prone to systemic collapses, events that can rapidly sweep through out the entire village. Here we present a new methodology to assess and quantify inter-market relations. The approach is based on...