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Pramana

, 92:29 | Cite as

Synchronisation of fractional-order complex systems and its application

  • Milad Mohadeszadeh
  • Ali Karimpour
  • Naser ParizEmail author
Article

Abstract

In this paper, a passive control scheme based on the fractional-order calculus is proposed. We study the modified complex projective synchronisation between two identical fractional-order complex chaotic systems, and its application in the secure communication. The fractional-order complex chaotic Lorenz system is employed to encrypt the emitted signal. In the transmitter module, the information signal is modulated into one parameter of the Lorenz system. It is assumed that the same parameter is unknown in the receiver module. In order to synchronise two systems with different initial conditions, the controllers and an appropriate parameter update rule are designed. Theoretical analysis and numerical simulations show that this method is feasible and robust to some extent in the presence of channel noise.

Keywords

Fractional-order chaotic system complex projective synchronisation parameter modulation chaotic secure communication 

PACS Nos

02.30.Yy 05.45.–a 05.45.Gg 05.45.Vx 

Notes

Acknowledgement

N Pariz, the corresponding author, was supported by a grant from Ferdowsi University of Mashhad (No. 44878).

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Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  • Milad Mohadeszadeh
    • 1
  • Ali Karimpour
    • 1
  • Naser Pariz
    • 1
    Email author
  1. 1.Department of Electrical Engineering, Faculty of EngineeringFerdowsi University of Mashhad (FUM) CampusMashhadIran

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