Open Access IJMNTA Dynamics and Synchronization of Memristor-Based Fractional-Order System

Copyright © 2013 Hongmin Deng, Qionghua Wang. This is an open access article distributed under the Creative Commons Attribu-tion License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. A memristor-based fractional order circuit derived from Chua’s topology is presented. The dynamic properties of this circuit such as phase trajectories, time evolution characteristics of state variables are analyzed through the approxima-tion method of fractional order operator. In addition, it clearly describes the relationships between the impedance varia-tion of the memristor and the varying mobility of the doped region of the memristor in different circuit parameters. Fi-nally, a periodic memristor-based system driven by another chaotic memristor-based fractional order system is syn-chronized to chaotic state via the linear error feedback technique