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Journal of Applied Mathematics
Volume 2012 (2012), Article ID 325131, 15 pages
http://dx.doi.org/10.1155/2012/325131
Research Article

Synchronization of Two Rank-One Chaotic Systems without and with Delay via Linear Delayed Feedback Control

Department of Mathematics, Kunming University of Science and Technology, Yunnan 650093, China

Received 22 November 2011; Accepted 4 January 2012

Academic Editor: Wan-Tong Li

Copyright © 2012 Hui Fang. 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

This paper illustrates the presence of chaos in rank-one chaotic systems with delay via a binary test (called 0-1 test) for chaos. Chaotic synchronization between two rank-one chaotic systems without and with delay is achieved by means of Lyapunov functional and linear delayed feedback control method. Numerical simulations are implemented to verify the effectiveness of the proposed chaos synchronization scheme.