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Active control technique of fractional-order chaotic complex systems

Research Authors
Gamal M. Mahmoud, Mansour E. Ahmed, and Tarek M. Abed-Elhameed
Research Abstract

Several kinds of synchronization of fractional-order chaotic complex systems are challenging
research topics of current interest since they appear in many applications in applied sciences. Our main goal
in this paper is to introduce the definition of modified projective combination-combination synchronization
(MPCCS) of some fractional-order chaotic complex systems. We show that our systems are chaotic by
calculating their Lyapunov exponents. The fractional Lyapunov dimension of the chaotic solutions of these
systems is computed. A scheme is introduced to calculate MPCCS of four different (or identical) chaotic
complex systems using the active control technique. Special cases of this type, which are projective and
anti C-C synchronization, are discussed. Some figures are plotted to show that MPCCS is achieved and its
errors approach zero.

Research Department
Research Journal
Eur. Phys. J. Plus
Research Member
Research Publisher
Springer
Research Rank
1
Research Vol
Vol. 131- No. 200
Research Website
NULL
Research Year
2016
Research Pages
NULL