Revealing the building blocks of spatiotemporal chaos: deviations from extensivity |
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Authors: | Fishman Matthew P Egolf David A |
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Institution: | Department of Physics, Georgetown University, Washington, DC 20057, USA. |
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Abstract: | 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. |
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