title: Strong and weak chaos in nonlinear networks with time-delayed couplings.
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.
authors.affiliation: Institute of Theoretical Physics, University of Würzburg, Am Hubland, 97074 Würzburg, Germany. sven.heiligenthal@physik.uni-wuerzburg.de
authors.forename: Sven
authors.initials: S
authors.lastname: Heiligenthal
authors.forename: Thomas
authors.initials: T
authors.lastname: Dahms
authors.forename: Serhiy
authors.initials: S
authors.lastname: Yanchuk
authors.forename: Thomas
authors.initials: T
authors.lastname: Jüngling
authors.forename: Valentin
authors.initials: V
authors.lastname: Flunkert
authors.forename: Ido
authors.initials: I
authors.lastname: Kanter
authors.forename: Eckehard
authors.initials: E
authors.lastname: Schöll
authors.forename: Wolfgang
authors.initials: W
authors.lastname: Kinzel