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耦合动力系统的预测投影响应
引用本文:王姣姣,闫华,魏平.耦合动力系统的预测投影响应[J].物理学报,2010,59(11):7635-7643.
作者姓名:王姣姣  闫华  魏平
作者单位:电子科技大学电子工程学院,成都 611731
摘    要:提出了耦合动力系统的预测投影响应,通过选择不同的函数以及改变比例因子可以构建一系列不同的驱动响应系统.详细研究了该系统的一种特殊情况——加速预测投影响应.在该系统中,响应系统与驱动系统的输出轨迹在幅度上成比例关系,并且具有更快的演化速度.同时,还进一步证明了该系统在驱动信号和驱动项有微小扰动以及参数失配的情况下具有鲁棒性.

关 键 词:预测投影响应  加速预测投影响应  耦合动力系统  鲁棒性
收稿时间:2010-01-18

Anticipating projective response in coupled dynamical systems
Wang Jiao-Jiao,Yan Hua,Wei Ping.Anticipating projective response in coupled dynamical systems[J].Acta Physica Sinica,2010,59(11):7635-7643.
Authors:Wang Jiao-Jiao  Yan Hua  Wei Ping
Institution:School of Electronic Engineering, University of Electronic Science and Technology of China , Chengdu 611731, China;School of Electronic Engineering, University of Electronic Science and Technology of China , Chengdu 611731, China;School of Electronic Engineering, University of Electronic Science and Technology of China , Chengdu 611731, China
Abstract:In this paper, we suggest an anticipating projective response scheme in coupled dynamical systems, from which a large class of different drive-response systems can be constructed by choosing different functions and changing the scaling factor. A specific case of the scheme, which is named the accelerative anticipating projective response scheme, is studied in detail. In this specific scheme, the amplitudes of the drive and response systems synchronize up to a scaling factor and the response system evolves with a faster speed. Further, the robustness of this scheme is proved under the existence of the small disturbance of the driving term, interference of the driving signal and parameter mismatches.
Keywords:anticipating projective response  accelerative anticipating projective response  coupled dynamical systems  robustness
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