Anticipating, complete and lag synchronizations in RC phase-shift network based coupled Chua's circuits without delay

K. Srinivasan; D. V. Senthilkumar; I. Raja Mohamed; K. Murali; M. Lakshmanan; J. Kurths

doi:10.1063/1.4711375

Anticipating, complete and lag synchronizations in RC phase-shift network based coupled Chua's circuits without delay

K. Srinivasan, D. V. Senthilkumar, I. Raja Mohamed, K. Murali, M. Lakshmanan, J. Kurths

Research output: Contribution to journal › Article

8 Citations (Scopus)

Abstract

We construct a new RC phase shift network based Chua's circuit, which exhibits a period-doubling bifurcation route to chaos. Using coupled versions of such a phase-shift network based Chua's oscillators, we describe a new method for achieving complete synchronization (CS), approximate lag synchronization (LS), and approximate anticipating synchronization (AS) without delay or parameter mismatch. Employing the Pecora and Carroll approach, chaos synchronization is achieved in coupled chaotic oscillators, where the drive system variables control the response system. As a result, AS or LS or CS is demonstrated without using a variable delay line both experimentally and numerically. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4711375]

Original language	English
Article number	023124
Number of pages	8
Journal	Chaos
Volume	22
Issue number	2
Early online date	11 May 2012
DOIs	https://doi.org/10.1063/1.4711375
Publication status	Published - Jun 2012

Keywords

chaotic oscillators
systems

Access to Document

10.1063/1.4711375

Cite this

Srinivasan, K., Senthilkumar, D. V., Mohamed, I. R., Murali, K., Lakshmanan, M., & Kurths, J. (2012). Anticipating, complete and lag synchronizations in RC phase-shift network based coupled Chua's circuits without delay. Chaos, 22(2), [023124]. https://doi.org/10.1063/1.4711375

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AU - Srinivasan, K.

AU - Senthilkumar, D. V.

AU - Mohamed, I. Raja

AU - Murali, K.

AU - Lakshmanan, M.

AU - Kurths, J.

PY - 2012/6

Y1 - 2012/6

N2 - We construct a new RC phase shift network based Chua's circuit, which exhibits a period-doubling bifurcation route to chaos. Using coupled versions of such a phase-shift network based Chua's oscillators, we describe a new method for achieving complete synchronization (CS), approximate lag synchronization (LS), and approximate anticipating synchronization (AS) without delay or parameter mismatch. Employing the Pecora and Carroll approach, chaos synchronization is achieved in coupled chaotic oscillators, where the drive system variables control the response system. As a result, AS or LS or CS is demonstrated without using a variable delay line both experimentally and numerically. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4711375]

AB - We construct a new RC phase shift network based Chua's circuit, which exhibits a period-doubling bifurcation route to chaos. Using coupled versions of such a phase-shift network based Chua's oscillators, we describe a new method for achieving complete synchronization (CS), approximate lag synchronization (LS), and approximate anticipating synchronization (AS) without delay or parameter mismatch. Employing the Pecora and Carroll approach, chaos synchronization is achieved in coupled chaotic oscillators, where the drive system variables control the response system. As a result, AS or LS or CS is demonstrated without using a variable delay line both experimentally and numerically. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4711375]

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