Engineering synchronization of chaotic oscillators using controller based coupling design

E. Padmanaban; Chittaranjan Hens; Syamal K. Dana

doi:10.1063/1.3548066

Engineering synchronization of chaotic oscillators using controller based coupling design

E. Padmanaban
, Chittaranjan Hens
, Syamal K. Dana

CSIR - Indian Institute of Chemical Biology

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

22 Scopus citations

Abstract

We propose a general formulation of coupling for engineering synchronization in chaotic oscillators for unidirectional as well as bidirectional mode. In the synchronization regimes, it is possible to amplify or to attenuate a chaotic attractor with respect to other chaotic attractors. Numerical examples are presented for a Lorenz system, Rössler oscillator, and a Sprott system. We physically realized the controller based coupling design in electronic circuits to verify the theory. We extended the theory to a network of coupled oscillators and provided a numerical example with four Sprott oscillators.

Original language	English
Article number	013110
Journal	Chaos
Volume	21
Issue number	1
DOIs	https://doi.org/10.1063/1.3548066
State	Published - 4 Feb 2011
Externally published	Yes

Bibliographical note

Funding Information:
This work is partially supported by the Board of Research in Nuclear Sciences/Department of Atomic Energy, India under Grant No. 2009/34/26/BRNS and by the Department of Science and Technology, India under Grant No. SR/S2/HEP-03/2005.

Funding

This work is partially supported by the Board of Research in Nuclear Sciences/Department of Atomic Energy, India under Grant No. 2009/34/26/BRNS and by the Department of Science and Technology, India under Grant No. SR/S2/HEP-03/2005.

Funders	Funder number
Board of Research in Nuclear Sciences/Department of Atomic Energy, India	2009/34/26/BRNS
Department of Science and Technology, Ministry of Science and Technology, India	SR/S2/HEP-03/2005

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abstract = "We propose a general formulation of coupling for engineering synchronization in chaotic oscillators for unidirectional as well as bidirectional mode. In the synchronization regimes, it is possible to amplify or to attenuate a chaotic attractor with respect to other chaotic attractors. Numerical examples are presented for a Lorenz system, R{\"o}ssler oscillator, and a Sprott system. We physically realized the controller based coupling design in electronic circuits to verify the theory. We extended the theory to a network of coupled oscillators and provided a numerical example with four Sprott oscillators.",

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note = "Funding Information: This work is partially supported by the Board of Research in Nuclear Sciences/Department of Atomic Energy, India under Grant No. 2009/34/26/BRNS and by the Department of Science and Technology, India under Grant No. SR/S2/HEP-03/2005.",

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Engineering synchronization of chaotic oscillators using controller based coupling design

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