Project proposed as part of the 1994 Research Experiences for Undergraduates (REU) Program in High-Performance Computing conducted by the Northeast Parallel Architectures Center (NPAC) at Syracuse University. The National Science Foundation provides primary funding for the 1994 NPAC REU Program, through NSF Grant CDA-9200577. Additional funding is provided by the Vice President for Research and Computing, the College of Engineering and Computer Science, the College of the Arts and Sciences, the Graduate School, and NPAC, Syracuse University.

Research Apprentice, 1994 NPAC REU Program; email: sfischer@npac.syr.edu; Physics Major, Davidson College; email: sfisher@phyhost.davidson.edu

Research Scientist, NPAC; email: hawick@npac.syr.edu

Research Scientist, NPAC; email: paulc@npac.syr.edu

An electric potential difference between two points is the amount of work per unit charge which must be done to move the charge through the electric field that exists between the two points.

The gradient is a vector which indicates the rate of change of a function in the , , and directions.

The radial component is the distance from the origin in the x, y plane: .

Chaotic motion is characterized by sensitive dependence on initial conditions, which renders it unpredictable in the long run; unlike periodic motion, chaotic motion never repeats itself.

HPF is currently implemented at NPAC on a cluster of DEC workstations and on the Intel iPSC.

A common property of chaotic systems is that transitions occur at different values depending on the history of the system; this phenomenon is known as hysteresis.

Damping effects, which include friction and laser cooling, decrease the energy of the system.

Wed Jul 27 11:57:58 EDT 1994