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

Sven Heiligenthal, Thomas Dahms, Serhiy Yanchuk, Thomas Jüngling, Valentin Flunkert, Ido Kanter, Eckehard Schöll, Wolfgang Kinzel

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104 Scopus citations


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.

Original languageEnglish
Article number234102
JournalPhysical Review Letters
Issue number23
StatePublished - 2 Dec 2011


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