Chaotic dynamics and synchronization of fractional-order Genesio-Tesi systems

被引：2
作者：
Lu, JG [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200030, Peoples R China
来源：
CHINESE PHYSICS | 2005年 / 14卷 / 08期
关键词：
chaos; synchronization; Genesio-Tesi system; fractional-order system; fractional calculus;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we investigate numerically the chaotic behaviours in the fractional-order Genesio-Tesi system. We find that chaos exists in the fractional-order Genesio-Tesi system with order less than 3. The lowest order we find to have chaos is 2.4 in this fractional-order Genesio-Tesi system. We propose a drive-response synchronization method for synchronizing the fractional-order chaotic Genesio-Tesi systems only using a scalar drive signal. This synchronization approach, based on stability theory of fractional-order systems, is simple and theoretically rigorous. It does not require the computation of the conditional Lyapunov exponents. Simulation results are used to visualize and illustrate the effectiveness of the proposed synchronization method.
引用
收藏
页码：1517 / 1521
页数：5
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