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Mathematical Problems in Engineering
Volume 2014, Article ID 203123, 7 pages
http://dx.doi.org/10.1155/2014/203123
Research Article

Synchronization and Lag Synchronization of Hyperchaotic Memristor-Based Chua’s Circuits

1College of Computer Science, Chongqing University, Chongqing 400030, China
2Department of Computer Science, Chongqing Education College, Chongqing 400067, China
3College of Electronic and Information Science, Southwest University, Chongqing 400715, China
4Texas A&M University at Qatar, P.O. BOX 23874, Doha, Qatar
5School of Mathematics and Statistics, Chongqing Normal University, Chongqing 400047, China

Received 16 July 2014; Accepted 1 September 2014; Published 30 September 2014

Academic Editor: Ramachandran Raja

Copyright © 2014 Junjian Huang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A memristor-based five-dimensional (5D) hyperchaotic Chua’s circuit is proposed. Based on the Lyapunov stability theorem, the controllers are designed to realize the synchronization and lag synchronization between the hyperchaotic memristor-based Chua’s circuits under different initial values, respectively. Numerical simulations are also presented to show the effectiveness and feasibility of the theoretical results.