Deconstructing spatiotemporal chaos using local symbolic dynamics.
نویسندگان
چکیده
We find that the global symbolic dynamics of a diffusively coupled map lattice is well approximated by a very small local model for weak to moderate coupling strengths. A local symbolic model is a truncation of the full symbolic model to one that considers only a single element and a few neighbors. Using interval analysis, we give rigorous results for a range of coupling strengths and different local model widths. Examples are presented of extracting a local symbolic model from data and of controlling spatiotemporal chaos.
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ورودعنوان ژورنال:
- Physical review letters
دوره 99 21 شماره
صفحات -
تاریخ انتشار 2007