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Strong and Weak Chaos in Nonlinear Networks with Time-Delayed Couplings

Strong and Weak Chaos in Nonlinear Networks with Time-Delayed Couplings

We study chaotic synchronization in networks with time-delayed coupling. We introduce the notion of strong and weak chaos, distinguished by the scaling properties of the maximum Lyapunov exponent within the synchronization manifold for large delay times, and relate this to the condition for stable or unstable chaotic synchronization, respectively. In …