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Secure Communications Based on the Projective Synchronization of Four-Dimensional Hyperchaotic Systems

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  • Salahuddin Abdul Rahman
  • Mohamed Zribi
  • Nejib Smaoui

Abstract

This paper deals with the projective synchronization (PS) of two identical discrete-time generalized four-dimensional (4D) hyperchaotic Henon maps using a master-slave configuration. A discrete sliding mode controller (DSMC) scheme is proposed to synchronize the master and the slave systems. The performance of the controlled systems is simulated; the simulation results indicate that the proposed controller works well. In addition, a secure communication scheme is proposed based on the developed control scheme. The validity of the proposed scheme is tested by transmitting an image and simulating the results. The simulation results clearly indicate the effectiveness of the proposed secure communication scheme.

Suggested Citation

  • Salahuddin Abdul Rahman & Mohamed Zribi & Nejib Smaoui, 2019. "Secure Communications Based on the Projective Synchronization of Four-Dimensional Hyperchaotic Systems," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-16, May.
    • Handle: RePEc:hin:jnlmpe:2491850
    DOI: 10.1155/2019/2491850
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