Engineering generalized synchronization in chaotic oscillators

P. K. Roy; C. Hens; I. Grosu; S. K. Dana

doi:10.1063/1.3539802

Engineering generalized synchronization in chaotic oscillators

P. K. Roy, C. Hens, I. Grosu, S. K. Dana

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

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Abstract

We report a method of engineering generalized synchronization (GS) in chaotic oscillators using an open-plus-closed-loop coupling strategy. The coupling is defined in terms of a transformation matrix that maps a chaotic driver onto a response oscillator where the elements of the matrix can be arbitrarily chosen, and thereby allows a precise control of the GS state. We elaborate the scheme with several examples of transformation matrices. The elements of the transformation matrix are chosen as constants, time varying function, state variables of the driver, and state variables of another chaotic oscillator. Numerical results of GS in mismatched Rössler oscillators as well as nonidentical oscillators such as Rössler and Chen oscillators are presented.

Original language	English
Article number	013106
Journal	Chaos
Volume	21
Issue number	1
DOIs	https://doi.org/10.1063/1.3539802
State	Published - 4 Feb 2011
Externally published	Yes

Bibliographical note

Funding Information:
S.K.D. and P.K.R. acknowledge partial support by the DST, India under grant SR/S2/HEP-03/2005 and the BRNS/DAE, India under project Grant No. 2009/34/26/ BRNS. I.G. acknowledges the support by the CNCSIS, Romania under Grant Nos. 12115/2008 and 2219/2009.

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abstract = "We report a method of engineering generalized synchronization (GS) in chaotic oscillators using an open-plus-closed-loop coupling strategy. The coupling is defined in terms of a transformation matrix that maps a chaotic driver onto a response oscillator where the elements of the matrix can be arbitrarily chosen, and thereby allows a precise control of the GS state. We elaborate the scheme with several examples of transformation matrices. The elements of the transformation matrix are chosen as constants, time varying function, state variables of the driver, and state variables of another chaotic oscillator. Numerical results of GS in mismatched R{\"o}ssler oscillators as well as nonidentical oscillators such as R{\"o}ssler and Chen oscillators are presented.",

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note = "Funding Information: S.K.D. and P.K.R. acknowledge partial support by the DST, India under grant SR/S2/HEP-03/2005 and the BRNS/DAE, India under project Grant No. 2009/34/26/ BRNS. I.G. acknowledges the support by the CNCSIS, Romania under Grant Nos. 12115/2008 and 2219/2009.",

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Engineering generalized synchronization in chaotic oscillators

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