Lag synchronization and scaling of chaotic attractor in coupled system

We report a design of delay coupling for lag synchronization in two unidirectionally coupled chaotic oscillators. A delay term is introduced in the definition of the coupling to target any desired lag between the driver and the response. The stability of the lag synchronization is ensured by using t...

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Published in:arXiv.org 2012-06
Main Authors: Bhowmick, Sourav K, Pal, Pinaki, Roy, Prodyot K, Dana, Syamal K
Format: Article
Language:English
Subjects:
Attenuation
Chaos theory
Circuits
Coupling
Delay lines
Electronic circuits
Mathematical models
Oscillators
Response time
Scaling
Stability
Synchronism
Three dimensional models
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Pal, Pinaki
Roy, Prodyot K
Dana, Syamal K
description We report a design of delay coupling for lag synchronization in two unidirectionally coupled chaotic oscillators. A delay term is introduced in the definition of the coupling to target any desired lag between the driver and the response. The stability of the lag synchronization is ensured by using the Hurwitz matrix stability. We are able to scale up or down the size of a driver attractor at a response system in presence of a lag. This allows compensating the attenuation of the amplitude of a signal during transmission through a delay line. The delay coupling is illustrated with numerical examples of 3D systems, the Hindmarsh-Rose neuron model, the R\"ossler system and a Sprott system and, a 4D system. We implemented the coupling in electronic circuit to realize any desired lag synchronization in chaotic oscillators and scaling of attractors.
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subjects Attenuation
Chaos theory
Circuits
Coupling
Delay lines
Electronic circuits
Mathematical models
Oscillators
Response time
Scaling
Stability
Synchronism
Three dimensional models
title Lag synchronization and scaling of chaotic attractor in coupled system
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