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Design of Coupling for Synchronization of Chaotic Oscillators

IR@IICB: CSIR-Indian Institute of Chemical Biology, Kolkata

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Title Design of Coupling for Synchronization of Chaotic Oscillators
 
Creator Grosu, Ioan
Banerjee, Ranjib
Roy, Prodyot K
Dana, Syamal Kumar
 
Subject Nonlinear Dynamics
 
Description A general procedure is discussed to formulate a coupling function capable of targeting desired responses such as synchronization, antisynchronization, and amplitude death in identical as well as mismatched chaotic oscillators. The coupling function is derived for unidirectional, mutual, and matrix type coupling. The matrix coupling, particularly, is able to induce synchronization, antisynchronization, and amplitude death simultaneously in different state variables of a response system. The applicability of the coupling is demonstrated in spiking-bursting Hindmarsh-Rose neuron model, Rössler oscillator, Lorenz system, Sprott system, and a double scroll system. We also report a scaling law that defines a process of transition to synchronization.
 
Date 2009
 
Type Article
PeerReviewed
 
Format application/pdf
 
Identifier http://www.eprints.iicb.res.in/1002/1/29_PR_2009.pdf
Grosu, Ioan and Banerjee, Ranjib and Roy, Prodyot K and Dana, Syamal Kumar (2009) Design of Coupling for Synchronization of Chaotic Oscillators. Physical Review , 80 (1). 016212.
 
Relation http://dx.doi.org/10.1103/PhysRevE.80.016212
http://www.eprints.iicb.res.in/1002/