Mixed synchronization in chaotic oscillators using scalar coupling

Sourav K. Bhowmick; Chittaranjan Hens; Dibakar Ghosh; Syamal K. Dana

doi:10.1016/j.physleta.2012.06.031

Mixed synchronization in chaotic oscillators using scalar coupling

Sourav K. Bhowmick, Chittaranjan Hens, Dibakar Ghosh, Syamal K. Dana

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

15 Scopus citations

Abstract

We report experimental evidence of mixed synchronization in two unidirectionally coupled chaotic oscillators using a scalar coupling. In this synchronization regime, some of the state variables may be in complete synchronization while others may be in anti-synchronization state. We extended the theory by using an adaptive controller with an updating law based on Lyapunov function stability to include parameter fluctuation. Using the scheme, we implemented a cryptographic encoding for digital signal through parameter modulation.

Original language	English
Pages (from-to)	2490-2495
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	376
Issue number	36
DOIs	https://doi.org/10.1016/j.physleta.2012.06.031
State	Published - 23 Jul 2012
Externally published	Yes

Bibliographical note

Funding Information:
S.K.B. and S.K.D. acknowledge the support of BRNS/DAE , India under grant # 2009/34/26/BRNS .

Keywords

Adaptive linear controller
Chaotic circuit
Cryptography
Mixed synchronization

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10.1016/j.physleta.2012.06.031

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title = "Mixed synchronization in chaotic oscillators using scalar coupling",

abstract = "We report experimental evidence of mixed synchronization in two unidirectionally coupled chaotic oscillators using a scalar coupling. In this synchronization regime, some of the state variables may be in complete synchronization while others may be in anti-synchronization state. We extended the theory by using an adaptive controller with an updating law based on Lyapunov function stability to include parameter fluctuation. Using the scheme, we implemented a cryptographic encoding for digital signal through parameter modulation.",

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note = "Funding Information: S.K.B. and S.K.D. acknowledge the support of BRNS/DAE , India under grant # 2009/34/26/BRNS . ",

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AU - Bhowmick, Sourav K.

AU - Hens, Chittaranjan

AU - Ghosh, Dibakar

AU - Dana, Syamal K.

N1 - Funding Information: S.K.B. and S.K.D. acknowledge the support of BRNS/DAE , India under grant # 2009/34/26/BRNS .

PY - 2012/7/23

Y1 - 2012/7/23

N2 - We report experimental evidence of mixed synchronization in two unidirectionally coupled chaotic oscillators using a scalar coupling. In this synchronization regime, some of the state variables may be in complete synchronization while others may be in anti-synchronization state. We extended the theory by using an adaptive controller with an updating law based on Lyapunov function stability to include parameter fluctuation. Using the scheme, we implemented a cryptographic encoding for digital signal through parameter modulation.

AB - We report experimental evidence of mixed synchronization in two unidirectionally coupled chaotic oscillators using a scalar coupling. In this synchronization regime, some of the state variables may be in complete synchronization while others may be in anti-synchronization state. We extended the theory by using an adaptive controller with an updating law based on Lyapunov function stability to include parameter fluctuation. Using the scheme, we implemented a cryptographic encoding for digital signal through parameter modulation.

KW - Adaptive linear controller

KW - Chaotic circuit

KW - Cryptography

KW - Mixed synchronization

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 36

ER -

Mixed synchronization in chaotic oscillators using scalar coupling

Abstract

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Keywords

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