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Multi-switching compound synchronization of four different chaotic systems via active backstepping method

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Abstract

This manuscript presents a theoretical and numerical analysis to achieve compound synchronization of four non-identical chaotic systems for different multi-switching states. Multi-switching compound synchronization is achieved for three drive systems and one response system via active backstepping technique. By using Lyapunov stability theory, asymptotically stable synchronization states are established. To elaborate the considered scheme an example of Pehlivan system, Liu system, Qi system and Lu system is discussed. The conclusions drawn from computational and analytical approaches are in excellent agreement.

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Authors and Affiliations

  1. Department of Mathematics, Jamia Millia Islamia, New Delhi, 110025, India

    Ayub Khan

  2. Department of Mathematics, Shivaji College, New Delhi, 110027, India

    Mridula Budhraja

  3. Department of Mathematics, University of Delhi, Delhi, 110007, India

    Aysha Ibraheem

Authors
  1. Ayub Khan
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  2. Mridula Budhraja
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  3. Aysha Ibraheem
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Correspondence to Aysha Ibraheem.

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Khan, A., Budhraja, M. & Ibraheem, A. Multi-switching compound synchronization of four different chaotic systems via active backstepping method. Int. J. Dynam. Control 6, 1126–1135 (2018). https://doi.org/10.1007/s40435-017-0365-z

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  • DOI: https://doi.org/10.1007/s40435-017-0365-z

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