Chaotic networks under thresholding

Abstract

We review some results on the phenomenology of networks of chaotic elements under threshold activated coupling. We show how thresholding at different levels gives rise to behaviour ranging from spatiotemporal cycles and spatiotemporal chaos, to scaling regimes reminiscent of self-organized criticality. We also indicate how our knowledge of the dynamical consequences of varying threshold levels can be used to design control algorithms targetting a wide range of spatiotemporal patterns. Some of these concepts are verified in experiments on chaotic electrical circuits.