Abstract:
We have studied a model of Sinha and Biswas of adaptive dynamics on a lattice of circle maps. The model reveals two remarkable features: First, even when the individual local elements are regular, the adaptive mechanisms can given rise to chaotic lattice dynamics. Secondly, the adaptive relaxation time between chaotic updates determines the nature of the power spectrum. In the limit of small relaxation times (when the tails of the adaptive processes interfere) we obtain 1/f characteristics.
