Open AccessNew Fractional Order Chaotic System: Analysis, Synchronization, and it’s Application
Author(s) -
Zain-Aldeen S. A. Rahman,
Basil Jassim,
Yasir I. A. AlYasir
Publication year - 2021
Publication title -
iraqi journal for electrical and electronic engineering/al-maǧallaẗ al-ʻirāqiyyaẗ al-handasaẗ al-kahrabāʼiyyaẗ wa-al-ilikttrūniyyaẗ
Language(s) - English
Resource type - Journals
eISSN - 2078-6069
pISSN - 1814-5892
DOI - 10.37917/ijeee.17.1.14
Subject(s) - attractor , phase portrait , chaotic , lyapunov exponent , synchronization of chaos , secure communication , synchronization (alternating current) , computer science , control theory (sociology) , nonlinear system , encryption , bifurcation , topology (electrical circuits) , mathematics , physics , telecommunications , mathematical analysis , artificial intelligence , channel (broadcasting) , control (management) , quantum mechanics , combinatorics , operating system
In this paper, a new nonlinear dynamic system, new three-dimensional fractional order complex chaotic system, is presented.This new system can display hidden chaotic attractors or self-excited chaotic attractors. The Dynamic behaviors of this system have been considered analytically and numerically. Different means including the equilibria, chaotic attractor phase portraits, the Lyapunov exponent, and the bifurcation diagrams are investigated to show the chaos behavior in this new system. Also, a synchronization technique between two identical new systems has been developed in master- slave configuration. The two identical systems are synchronized quickly. Furthermore, the master-slave synchronization is applied in secure communication scheme based on chaotic masking technique. In the application, it is noted that the message is encrypted and transmitted with high security in the transmitter side, in the other hand the original message has been discovered with high accuracy in the receiver side. The corresponding numerical simulation results proved the efficacy and practicability of the developed synchronization technique and its application