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Entropy 2015, 17(3), 1123-1134; doi:10.3390/e17031123

Projective Synchronization for a Class of Fractional-Order Chaotic Systems with Fractional-Order in the (1, 2) Interval

1
Center of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2
Key Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
*
Author to whom correspondence should be addressed.
Academic Editor: J. A. Tenreiro Machado
Received: 10 February 2015 / Revised: 1 March 2015 / Accepted: 4 March 2015 / Published: 10 March 2015
(This article belongs to the Section Complexity)
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Abstract

In this paper, a projective synchronization approach for a class of fractional-order chaotic systems with fractional-order 1 < q < 2 is demonstrated. The projective synchronization approach is established through precise theorization. To illustrate the effectiveness of the proposed scheme, we discuss two examples: (1) the fractional-order Lorenz chaotic system with fractional-order q = 1.1; (2) the fractional-order modified Chua’s chaotic system with fractional-order q = 1.02. The numerical simulations show the validity and feasibility of the proposed scheme. View Full-Text
Keywords: fractional-order in interval (1, 2); chaotic systems; projective synchronization fractional-order in interval (1, 2); chaotic systems; projective synchronization
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. (CC BY 4.0).

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MDPI and ACS Style

Zhou, P.; Bai, R.; Zheng, J. Projective Synchronization for a Class of Fractional-Order Chaotic Systems with Fractional-Order in the (1, 2) Interval. Entropy 2015, 17, 1123-1134.

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