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 journalArticle

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 languageEnglish
Article number023124
Number of pages8
JournalChaos
Volume22
Issue number2
Early online date11 May 2012
DOIs
Publication statusPublished - Jun 2012

Keywords

  • chaotic oscillators
  • systems

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

Anticipating, complete and lag synchronizations in RC phase-shift network based coupled Chua's circuits without delay. / Srinivasan, K.; Senthilkumar, D. V.; Mohamed, I. Raja; Murali, K.; Lakshmanan, M.; Kurths, J.

In: Chaos, Vol. 22, No. 2, 023124, 06.2012.

Research output: Contribution to journalArticle

Srinivasan, K, Senthilkumar, DV, Mohamed, IR, 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, vol. 22, no. 2, 023124. https://doi.org/10.1063/1.4711375
Srinivasan K, Senthilkumar DV, Mohamed IR, Murali K, Lakshmanan M, Kurths J. Anticipating, complete and lag synchronizations in RC phase-shift network based coupled Chua's circuits without delay. Chaos. 2012 Jun;22(2). 023124. https://doi.org/10.1063/1.4711375
Srinivasan, K. ; Senthilkumar, D. V. ; Mohamed, I. Raja ; Murali, K. ; Lakshmanan, M. ; Kurths, J. / Anticipating, complete and lag synchronizations in RC phase-shift network based coupled Chua's circuits without delay. In: Chaos. 2012 ; Vol. 22, No. 2.
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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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