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

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 differ...

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Bibliographic Details
Published in:Chinese physics B 2013-08, Vol.22 (8), p.339-345
Main Author: 胡建兵 赵灵冬 谢正光
Format: Article
Language:English
Subjects:
Computer simulation
Dynamical systems
Feasibility
Inequalities
Mathematical models
Nonlinear dynamics
Synchronism
Synchronization
Theorems
分数阶
同步
定理
延迟
微分不等式
稳定
间歇性
非线性系统
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Summary: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.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/8/080506