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Complexity - Volume 2017 2017, Article ID 4948392, 12 pages - https:-doi.org-10.1155-2017-4948392

Research Article

Laboratory of Mathematics, Informatics and Systems LAMIS, University of Larbi Tebessi, 12002 Tebessa, Algeria

Institute for Advanced Study, Shenzhen University, Shenzhen, Guangdong 518060, China

Hanoi University of Science and Technology, Hanoi, Vietnam

Department of Matter Sciences, University of Larbi Tebessi, Tebessa, Algeria

Active Devices and Materials Laboratory LCAM, Larbi Ben M’hidi University, Oum El Bouaghi, Algeria

Correspondence should be addressed to Viet-Thanh Pham

Received 15 February 2017; Revised 18 April 2017; Accepted 31 May 2017; Published 28 June 2017

Academic Editor: Delfim F. M. Torres

Copyright © 2017 Adel Ouannas 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

We present new approaches to synchronize different dimensional master and slave systems described by integer order and fractional order differential equations. Based on fractional order Lyapunov approach and integer order Lyapunov stability method, effective control schemes to rigorously study the coexistence of some synchronization types between integer order and fractional order chaotic systems with different dimensions are introduced. Numerical examples are used to validate the theoretical results and to verify the effectiveness of the proposed schemes.





Autor: Adel Ouannas, Xiong Wang, Viet-Thanh Pham, and Toufik Ziar

Fuente: https://www.hindawi.com/



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