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A Computational characterization of collective chaos

Abstract

We suggest that the interaction of a Globally Coupled Map (GCM) with an individual element inside the system is, from a computational point of view, indistinguishable of a mu,epsilon-dependent noise in the turbulent region of the phase space. Therefore, we can use the framework of Computational Mechanics to give a measure that clearly separates the ordered from the turbulent phases. Furthermore, our procedure is able to detect a small ordered domain inside the turbulent phase. These results reinforce the view of GCMs as properly defined mean field models of complex nonlinear networks.Preprin

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