Studying the intermittent stable theorem and the synchronization of a delayed fractional nonlinear system

doi:10.1088/1674-1056/22/8/080506

中国物理B ›› 2013, Vol. 22 ›› Issue (8): 80506-080506.doi: 10.1088/1674-1056/22/8/080506

Studying the intermittent stable theorem and the synchronization of a delayed fractional nonlinear system

胡建兵, 赵灵冬, 谢正光

School of Electronics & Information, Nantong University, Nantong 226019, China

收稿日期:2012-12-25 修回日期:2013-05-13 出版日期:2013-06-27 发布日期:2013-06-27
基金资助:
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).

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

Received:2012-12-25 Revised:2013-05-13 Online:2013-06-27 Published:2013-06-27
Contact: Zhao Ling-Dong E-mail:zhaolingdong@163.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: fractional, delay, stability, intermittent synchronization

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.

Key words: fractional, delay, stability, intermittent synchronization

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Xt (Synchronization; coupled oscillators)

胡建兵, 赵灵冬, 谢正光. Studying the intermittent stable theorem and the synchronization of a delayed fractional nonlinear system[J]. 中国物理B, 2013, 22(8): 80506-080506.

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[J]. Chin. Phys. B, 2013, 22(8): 80506-080506.

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Studying the intermittent stable theorem and the synchronization of a delayed fractional nonlinear system

Studying the intermittent stable theorem and the synchronization of a delayed fractional nonlinear system

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