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Physical Review Letters
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Coherence, chaos, and broken symmetry in classical, many-body dynamical systems

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Abstract

It is argued in the context of coupled quadratic maps that macroscopically chaotic states do not occur in many-body systems with local interactions and random initial conditions. Such systems can exhibit chaos, but only locally; their collective behavior is periodic or stationary. The phase diagram for the coupled-map system as a function of control parameter and noise is presented, and the universality classes of the phase transitions identified. © 1987 The American Physical Society.

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Physical Review Letters

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