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Mathematical Problems in Engineering
Volume 2016, Article ID 7693547, 14 pages
Research Article

Finite-Time Synchronization of Chaotic Systems with Different Dimension and Secure Communication

Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, China

Received 8 May 2016; Accepted 12 July 2016

Academic Editor: Ricardo Aguilar-López

Copyright © 2016 Shouquan Pang 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.


Finite-time synchronization of chaotic systems with different dimension and secure communication is investigated. It is rigorously proven that global finite-time synchronization can be achieved between three-dimension Lorenz chaotic system and four-dimension Lorenz hyperchaotic system which have certain parameters or uncertain parameters. The electronic circuits of finite-time synchronization using Multisim 12 are designed to verify our conclusion. And the application to the secure communications is also analyzed and discussed.