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Multiswitching compound antisynchronization of four chaotic systems

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Abstract

Based on three drive–one response system, in this article, the authors investigate a novel synchronization scheme for a class of chaotic systems. The new scheme, multiswitching compound antisynchronization (MSCoAS), is a notable extension of the earlier multiswitching schemes concerning only one drive–one response system model. The concept of multiswitching synchronization is extended to compound synchronization scheme such that the state variables of three drive systems antisynchronize with different state variables of the response system, simultaneously. The study involving multiswitching of three drive systems and one response system is first of its kind. Various switched modified function projective antisynchronization schemes are obtained as special cases of MSCoAS, for a suitable choice of scaling factors. Using suitable controllers and Lyapunov stability theory, sufficient condition is obtained to achieve MSCoAS between four chaotic systems and the corresponding theoretical proof is given. Numerical simulations are performed using Lorenz system in MATLAB to demonstrate the validity of the presented method.

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Acknowledgements

The authors thank the anonymous referee for the valuable comments and suggestions leading to the improvement of this paper. The work of the third author is supported by the Senior Research Fellowship of Council of Scientific and Industrial Research, India (Grant No. 09/045(1319)/2014-EMR-I).

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Authors and Affiliations

  1. Department of Mathematics, Jamia Millia Islamia, Delhi, 110 025, India

    Ayub Khan

  2. Department of Mathematics, Kirori Mal College, University of Delhi, Delhi, 110 007, India

    Dinesh Khattar

  3. Department of Mathematics, University of Delhi, Delhi, 110 007, India

    Nitish Prajapati

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  1. Ayub Khan
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  2. Dinesh Khattar
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  3. Nitish Prajapati
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Correspondence to Nitish Prajapati.

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Khan, A., Khattar, D. & Prajapati, N. Multiswitching compound antisynchronization of four chaotic systems. Pramana - J Phys 89, 90 (2017). https://doi.org/10.1007/s12043-017-1488-7

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  • DOI: https://doi.org/10.1007/s12043-017-1488-7

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