| 分数阶Genesio-Tesi系统的混沌动态和同步 |
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| 引用本文： | 卢俊国. 分数阶Genesio-Tesi系统的混沌动态和同步[J]. 中国物理, 2005, 14(8): 1517-1521 |
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| 作者姓名： | 卢俊国 |
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| 作者单位： | Department of Automation, Shanghai Jiaotong University,Shanghai 200030, China |
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| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant No 60404005). |
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| 摘 要： | 本文首先通过数值仿真研究了分数阶Genesio-Tesi系统的混沌动态。发现阶数小于3的分数阶Genesio-Tesi系统存在混沌行为和该分数阶系统存在混沌的最小阶是2.4。然后提出了一种通过标量驱动信号同步分数阶混沌Genesio-Tesi系统的驱动响应同步方法。基于分数阶系统的稳定理论，该同步方法是简单的和理论上严格的。它不需要计算条件Lyapunov指数。仿真结果说明了所提同步方法的有效性。
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| 关 键 词： | 混沌；同步；Genesio-Tesi系统；分数阶系统；分数积分 |
Chaotic dynamics and synchronization of fractional-order Genesio--Tesi systems |
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| Lu Jun-Guo. Chaotic dynamics and synchronization of fractional-order Genesio--Tesi systems[J]. Chinese Physics, 2005, 14(8): 1517-1521 |
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| Authors: | Lu Jun-Guo |
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| Affiliation: | Department of Automation, Shanghai Jiaotong University,Shanghai 200030, China |
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| Abstract: | 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. |
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| Keywords: | chaos synchronization Genesio--Tesi system fractional-order system fractional calculus |
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