Dynamic Analysis of Complex Synchronization Schemes between Integer Order and Fractional Order Chaotic Systems with Different Dimensions-Reference-Cited by-同舟云学术

Dynamic Analysis of Complex Synchronization Schemes between Integer Order and Fractional Order Chaotic Systems with Different Dimensions

Published:2017 Issue: Volume:2017 Page:1-12
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Ouannas Adel¹,Wang Xiong²^ORCID,Pham Viet-Thanh³^ORCID,Ziar Toufik⁴⁵^ORCID

Affiliation:

1. Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Larbi Tebessi, 12002 Tebessa, Algeria

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

3. Hanoi University of Science and Technology, Hanoi, Vietnam

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

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

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2017/4948392.pdf

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