关键词: 非线性动力学;关联分维;非线性预报;不稳定周期轨道;神经元

    摘 要:目的 研究如何识别神经元阵发放电序列中的确定性动力学. 方法 运用不稳定周期轨道及关联分维、非线性预报对神经元阵发放电序列中的确定性动力学进行了研究. 结果 在确定性统计方法失效的情况下，不稳定周期轨道方法依然能可靠的辨别出放电序列的周期Ⅰ，周期Ⅱ，周期Ⅲ轨道结构. 结论 与确定性统计方法比较，不稳定周期轨道更适合于对高维动力系统的混沌时间序列进行分析.

    Identification of determinant dynamics in neurons spiking series by using unstable periodic orbits

    XU Min-Guang JIAN Zhong DONG Xiu-Zhen YANG Ji-Qing LONG Kai-Ping

    1 Department of Physics，

    2 Department of Medical Electronic Engineering，Faculty of Biomedical Engi-neering，Fourth Military Medical University，Xi'an710033，China

    Keywords:nonlinear dynamics;correlation dimension;non-linear prediction;unstable periodic orbits;neu-rons

    Abstract:AIM To study how to identify determinant dy-namics in neurons spiking series.METHODS Determinant dynamics in neurons spiking series was researched by using unstable periodic orbits，correlation dimension and nonlinear prediction.RESULTS When the determinant statistics is in-effetive，the orbital structures of PeriodⅠ，PeriodⅡand Pe-riodⅢcould be recognized by using unstable periodic orbits.CONCLUSION Compared with determinant statistics ......