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

doi:10.1103/PhysRevLett.107.234102

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

Department of Physics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	234102
Journal	Physical Review Letters
Volume	107
Issue number	23
DOIs	https://doi.org/10.1103/PhysRevLett.107.234102
State	Published - 2 Dec 2011

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.107.234102

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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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AU - Dahms, Thomas

AU - Yanchuk, Serhiy

AU - Jüngling, Thomas

AU - Flunkert, Valentin

AU - Kanter, Ido

AU - Schöll, Eckehard

AU - Kinzel, Wolfgang

PY - 2011/12/2

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

Abstract

All Science Journal Classification (ASJC) codes

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