Finite-time synchronization of fractional-order simplest two-component chaotic oscillators

Romanic Kengne, Robert Tchitnga, Anicet Mezatio, Anaclet Fomethe and Grzegorz Litak ()
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Romanic Kengne: Research Group on Experimental and Applied Physics for Sustainable Development, Faculty of Science, Department of Physics, University of Dschang
Robert Tchitnga: Research Group on Experimental and Applied Physics for Sustainable Development, Faculty of Science, Department of Physics, University of Dschang
Anicet Mezatio: Research Group on Experimental and Applied Physics for Sustainable Development, Faculty of Science, Department of Physics, University of Dschang
Anaclet Fomethe: Laboratoire de Mécanique et de Modélisation des Systèmes, L2MS, Department of Physics, Faculty of Science, University of Dschang
Grzegorz Litak: Lublin University of Technology, Faculty of Mechanical Engineering

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 5, 1-10

Abstract: Abstract The problem of finite-time synchronization of fractional-order simplest two-component chaotic oscillators operating at high frequency and application to digital cryptography is addressed. After the investigation of numerical chaotic behavior in the system, an adaptive feedback controller is designed to achieve the finite-time synchronization of two oscillators, based on the Lyapunov function. This controller could find application in many other fractional-order chaotic circuits. Applying synchronized fractional-order systems in digital cryptography, a well secured key system is obtained. Numerical simulations are given to illustrate and verify the analytic results.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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DOI: 10.1140/epjb/e2017-70470-8

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