Strong and weak chaos in nonlinear networks with time-delayed couplings

Details Strong and weak chaos in nonlinear networks with time-delayed couplings Strong and weak chaos in nonlinear networks with time-delayed couplings

2011-09-05

arxiv.org/abs/1109.0878v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

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 simulations of laser models and experiments with electronic circuits, we identify transitions from weak to strong and back to weak chaos upon monotonically increasing the coupling strength.

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