Revealing the building blocks of spatiotemporal chaos: deviations from extensivity.
We have performed high-precision computational studies of the fractal dimension as a function of system length for spatiotemporal chaotic states of the one-dimensional complex Ginzburg-Landau equation. Our data show deviations from extensivity on a length scale consistent with the chaotic length scale, indicating that this spatiotemporal chaotic system is composed of weakly interacting building blocks, each containing about 2 degrees of freedom. Our results also suggest an explanation of some of the "windows of periodicity" found in spatiotemporal systems of moderate size.
Department of Physics, Georgetown University, Washington, DC 20057, USA.
Matthew P
MP
Fishman
David A
DA
Egolf