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Secure audio signal encryption based on triple compound-combination synchronization of fractional-order dynamical systems

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Abstract

In the recent past, information security has been a gradually fundamental problem. This paper proposed a new audio encryption algorithm based on a novel dynamical system with a fractional derivative that added immense security. The dynamical system with fractional derivative exhibits chaotic behavior for a wide range of fractional order and parameter values. Moreover, it is interesting that our system exhibits various coexisting attractors for the same set of parameter values and different initial conditions. Also, the system chaos is controlled about its stagnation point using the nonlinear feedback control technique. Further, adaptive sliding mode techniques and triple compound anti-synchronization schemes have been used to synchronize eight parallel systems in the presence of external disturbances. The results have been certified in the shape of plots by adopting numerical simulations.

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Funding

Nasreen (19/06/2016(i)EU-V) is grateful to U.G.C. India, regarding the financing S.R.F.

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Authors and Affiliations

  1. Department of mathematics, Jamia Millia Islamia, New Delhi, India

    Nasreen

  2. Department of Mathematics, Gobi Arts & Science College, Gobichettipalayam, Tamil Nadu, India

    P. Muthukumar

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  1. Nasreen
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Correspondence to Nasreen.

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Nasreen, Muthukumar, P. Secure audio signal encryption based on triple compound-combination synchronization of fractional-order dynamical systems. Int. J. Dynam. Control 10, 2053–2071 (2022). https://doi.org/10.1007/s40435-022-00942-4

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