Chaos in networks with time-delayed couplings-Reference-Cited by-同舟云学术

Chaos in networks with time-delayed couplings

Published:2013-09-28 Issue:1999 Volume:371 Page:20120461
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Kinzel Wolfgang¹

Affiliation:

1. Institute for Theoretical Physics, University of Würzburg, Am Hubland, 97074 Würzburg, Germany

Abstract

Networks of nonlinear units coupled by time-delayed signals can show chaos. In the limit of long delay times, chaos appears in two ways: strong and weak, depending on how the maximal Lyapunov exponent scales with the delay time. Only for weak chaos, a network can synchronize completely, without time shift. The conditions for strong and weak chaos and synchronization in networks with multiple delay times are investigated.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2012.0461

Reference22 articles.

1. Synchronization in complex networks

2. Self modulation at gigahertz frequencies of a diode laser coupled to an external cavity

3. Synchronization

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