脑电的非线性动力学高维特性及研究现状与展望

High dimensional chaos in EEG

80年代以来 ,脑电 (EEG)一直被视为低维混沌信号 ,关于脑电混沌性的检验及对其低维混沌性的质疑 ,是近年来国际学术界的研究热点。目前的研究基本上认证了 EEG的非线性和混沌性 ,却否定了它是源于低维的混沌系统。因此 ,用经典的低维混沌理论和算法去分析研究高维 EEG的适用性和适用条件 ,必须进行探讨和论证。本文简要介绍了近年来的研究现状 ,其中着重介绍了EEG低维简化模型法 ,最后展望了研究的发展前景。

EEG had long been considered generated from a low dimensional chaotic system since 1980's.Though the validity of early claims for the low dimensional chaos in EEG was questioned by recent study.Up to now evidences for nonlinearity and chaos in EEG time series have been addressed,but most of the present investigations indicate that the high dimensional structure other than low dimensional one is present in EEG.Thus it is necessary to reexamine the feasibility and prerequisites for the application of the conventional low-dimension chaos theories and algorithms when applied to the high dimensional system.We present an overview of the present research,which focuses on the simplification approach of EEG model to reduce the dimension of the corresponding system.The prospect for the application of the new approach is also proposed.