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A new type of hybrid synchronization between arbitrary hyperchaotic maps

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Abstract

In this paper, a new approach is proposed to investigate new type of hybrid chaos synchronization in discrete-time hyperchaotic dynamical systems. We present, based on stability theory of linear discrete-time systems and Lyapunov stability theory, a general control scheme to study the co-existence of inverse projective synchronization, inverse generalized synchronization and Q-S synchronization between arbitrary 3D hyperchaotic maps. Numerical examples and computer simulations are used to validate the theoretical results derived in this paper.

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Authors and Affiliations

  1. Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Larbi Tebessi, 12002, Tebessa, Algeria

    Adel Ouannas

  2. Faculty of Computers and Information, Benha University, Banha, Egypt

    Ahmad Taher Azar

  3. Department of Health Informatics, King Saud Bin Abdulaziz University for Health Science, Riyadh, 11481, Saudi Arabia

    Raghib Abu-Saris

Authors
  1. Adel Ouannas
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  2. Ahmad Taher Azar
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  3. Raghib Abu-Saris
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Correspondence to Ahmad Taher Azar.

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Ouannas, A., Azar, A.T. & Abu-Saris, R. A new type of hybrid synchronization between arbitrary hyperchaotic maps. Int. J. Mach. Learn. & Cyber. 8, 1887–1894 (2017). https://doi.org/10.1007/s13042-016-0566-3

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  • DOI: https://doi.org/10.1007/s13042-016-0566-3

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