How to induce multiple delays in coupled chaotic oscillators?

Lag synchronization is a basic phenomenon in mismatched coupled systems, delay coupled systems, and time-delayed systems. It is characterized by a lag configuration that identifies a unique time shift between all pairs of similar state variables of the coupled systems. In this report, an attempt is...

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Bibliographic Details
Published in:Chaos (Woodbury, N.Y.) N.Y.), 2013-12, Vol.23 (4)
Main Authors: Bhowmick, Sourav K., Department of Electronics, Asutosh College, Kolkata 700026, Ghosh, Dibakar, Roy, Prodyot K., Kurths, Jürgen, Institute for Physics, Humboldt University, 12489 Berlin, Dana, Syamal K.
Format: Article
Language:English
Subjects:
CHAOS THEORY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONFIGURATION
COUPLING
ELECTRONIC CIRCUITS
NERVE CELLS
SYNCHRONIZATION
TIME DELAY
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Summary:Lag synchronization is a basic phenomenon in mismatched coupled systems, delay coupled systems, and time-delayed systems. It is characterized by a lag configuration that identifies a unique time shift between all pairs of similar state variables of the coupled systems. In this report, an attempt is made how to induce multiple lag configurations in coupled systems when different pairs of state variables attain different time shift. A design of coupling is presented to realize this multiple lag synchronization. Numerical illustration is given using examples of the Rössler system and the slow-fast Hindmarsh-Rose neuron model. The multiple lag scenario is physically realized in an electronic circuit of two Sprott systems.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.4828515