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

2011/09/05 by Sven Heiligenthal, Thomas Dahms, Serhiy Yanchuk +5 · 1 citation
Physics and Astronomy · #nlin.CD

paper · pdf · doi:10.1103/physrevlett.107.234102

published as Phys. Rev. Lett. 107, 234102 (2011)

arxiv created 2011/09/05 · arxiv updated 2012/10/09

Abstract

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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