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Multi-switching Synchronization of Four Non-identical Hyperchaotic Systems

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Abstract

The paper addresses a combination synchronization scheme achieved for different switches of three master and one slave hyperchaotic systems. An asymptotically stable synchronized state is derived for different switches of master systems and slave system by using nonlinear control method and Lyapunov stability criteria. To elaborate the presented scheme Pang–Liu hyperchaotic system, Zheng hyperchaotic system and Chen hyperchaotic system are considered as master systems and Newton–Leipnik hyperchaotic system is considered as slave system. Theoretical and graphical results converge to the same conclusion which proves the efficiency of the applied approach.

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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 Synchronization of Four Non-identical Hyperchaotic Systems. Int. J. Appl. Comput. Math 4, 71 (2018). https://doi.org/10.1007/s40819-018-0503-0

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