Bifurcation Analysis of Reaction Diffusion Systems on Arbitrary Surfaces

In this article we present a computational framework for isolating spatial patterns arising in the steady states of reaction-diffusion systems. Such systems have been used to model many different phenomena in areas such as developmental and cancer biology, cell motility and material science. Often one is interested in identifying parameters which will lead to a particular pattern. To attempt to answer this, we compute eigenpairs of the Laplacian on a variety of domains and use linear stability analysis to determine parameter values for the system that will lead to spatially inhomogeneous steady states whose patterns correspond to particular eigenfunctions. This method has previously been used on domains and surfaces where the eigenvalues and eigenfunctions are found analytically in closed form. Our contribution to this methodology is that we numerically compute eigenpairs on arbitrary domains and surfaces. Here we present various examples and demonstrate that mode isolation is straightforward especially for low eigenvalues. Additionally we see that if two or more eigenvalues are in a permissible range then the inhomogeneous steady state can be a linear combination of the respective eigenfunctions. Finally we show an example which suggests that pattern formation is robust on similar surfaces in cases that the surface either has or does not have a boundary.

Improving the Energy Efficiency of Outdoor Lighting Systems Using the SmartLight Technology

This article describes the main approaches to the control of outdoor lighting using the modern means which give opportunities to improve the quality of lighting and improve its energy efficiency. It is about the lighting system of million city control.

Characteristics of income distribution in eastern Paraguay /

"Contract no. 53-319R-9-90."

A survey of national geocoding systems /

Final report; October 1973-June 1974.

Vehicle integration and evaluation of advanced restraint systems. Phase B - test report: Torino-to-Volvo tests.

National Highway Traffic Safety Administration, Washington, D.C.

Evaluation and system description of ASAP judicial systems. Volume II: Puerto Rico case study. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

Evaluation and system description of ASAP judicial systems. Volume III: Idaho case study. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

Evaluation and system description of ASAP judicial systems. Volume IV: Hennepin County, Minnesota, case study. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

Evaluation and system description of ASAP judicial systems. Volume V: Phoenix, Arizona case study. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

Evaluation and system description of ASAP judicial systems. Volume VI: Los Angeles County, California case study. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

Field test evaluation of rear lighting systems. Final report.

National Highway Traffic Safety Administration, Washington, D.C.