| Issue |
EPL
Volume 106, Number 4, May 2014
|
|
|---|---|---|
| Article Number | 40005 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/106/40005 | |
| Published online | 29 May 2014 | |
Compound synchronization for four chaotic systems of integer order and fractional order
1 College of Electrical and Electronic Engineering, Zhengzhou University of Light Industry - Zhengzhou, 450002, China
2 School of Automation, Huazhong University of Science and Technology - Wuhan, 430074, China
3 Key Laboratory of Ministry of Education for Image Processing and Intelligent Control, Huazhong University of Science and Technology - Wuhan, 430074, China
(a) yinquan534@163.com (corresponding author)
Received: 9 March 2014
Accepted: 2 May 2014
By combining the tracking control and the stability theory of nonlinear fractional-order systems, a novel kind of compound synchronization among four chaotic systems of integer order and fractional order has been investigated, where the drive systems have been conceptually divided into two categories: the scaling drive system and the base drive system. A fractional-order chaotic system can realize compound synchronization with the novel system, which is a combination system among two integer-order chaotic systems and one different fractional-order chaotic system. Numerical simulation results are presented to demonstrate the effectiveness and correctness of the compound synchronization.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 05.45.Pq – Numerical simulations of chaotic systems
© EPLA, 2014
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