"Frequency locking in spatially extended systems"
Dr. Arik Yochelis
Dept. of Physics, Ben Gurion University*
This research is concerned with frequency locking phenomena in spatially extended media and addresses the effects
of pattern formation on resonance behavior. The study has been motivated by recent experiments on temporally driven
Belousov-Zhabotinsky reaction-diffusion systems focusing on standing-wave patterns. We study pattern formation
mechanisms and parameters ranges where resonant and non-resonant standing-wave patterns are developed. The analysis
is based on the complex forced Ginzburg-Landau equation which describes universal dynamical behavior of periodically
driven oscillatory media. Among our results we show that in extended systems spatial structures and instabilities
may reduce or extend the boundaries of frequency locking so that the resonance ranges for a single oscillator do
not always coincide with resonance ranges in extended systems. In addition, we explain experimental results obtained
on the Belousov-Zhabotinsky chemical reaction and extend the concept of frequency locking to spatially extended systems.
Dr. Ron Lifshitz, x5145
*Current affiliation: Dept. of Chemical Engineering, The Technion.