Eur. Phys. J. B (2017) 90: 88
https://doi.org/10.1140/epjb/e2017-70470-8

Regular Article

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

¹ Research Group on Experimental and Applied Physics for Sustainable Development, Faculty of Science, Department of Physics, University of Dschang, P.O. Box 412, Dschang, Cameroon
² Laboratory of Electronics and Signal Processing Faculty of Science, Department of Physics University of Dschang, P.O. Box 67, Dschang, Cameroon
³ Laboratoire de Mécanique et de Modélisation des Systèmes, L2MS, Department of Physics, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon
⁴ Lublin University of Technology, Faculty of Mechanical Engineering, Nadbystrzycka 36, 20-618 Lublin, Poland
⁵ AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Department of Process Control, Mickiewicza 30, 30-059 Krakow, Poland

^a e-mail: g.litak@pollub.pl

Received: 7 August 2016
Received in final form: 27 February 2017
Published online: 10 May 2017

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.