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Studying the intermittent stable theorem and the synchronization of a delayed fractional nonlinear system |
Hu Jian-Bing (胡建兵), Zhao Ling-Dong (赵灵冬), Xie Zheng-Guang (谢正光) |
School of Electronics & Information, Nantong University, Nantong 226019, China |
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Abstract In this paper, an intermittent synchronizing delayed fractional nonlinear system is studied. We propose a novel intermittent stable theorem for the delayed fractional system and derive a new synchronization criterion for delayed fractional systems by means of fractional stable theorem and the differential inequality method. Intermittent synchronizing fractional delayed Newton-Leipnik system is taken as an illustrative example and numerical simulation of this example is presented to show the feasibility and effectiveness of the proposed theorem.
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Received: 25 December 2012
Revised: 13 May 2013
Accepted manuscript online:
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PACS:
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05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.Xt
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(Synchronization; coupled oscillators)
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Fund: Project supported by Jiangsu Overseas Research & Training Program for University Prominent Young & Middle-aged Teachers and Presidents and the National Natural Science Foundation of China (Grant No. 61171077). |
Corresponding Authors:
Zhao Ling-Dong
E-mail: zhaolingdong@163.com
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Cite this article:
Hu Jian-Bing (胡建兵), Zhao Ling-Dong (赵灵冬), Xie Zheng-Guang (谢正光) Studying the intermittent stable theorem and the synchronization of a delayed fractional nonlinear system 2013 Chin. Phys. B 22 080506
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