According to the swiched complex mapping proposed by the author, the method constructing the switched processes generalized M (Mandelbrot) sets was elaborated, and a series of the switched processes generalized M sets for complex index number were constructed. The construction charaeteristies of the generalized M sets were expounded according to the analysis of teh algorithm constructing the generalized M sets. On the basis of what has already been achieved, the trajectories of a starting point in the complex C plane under the switched mapping were researched into, The results show the switched processes generalized M sets have the fractal feature, the construction characteristics of the switched processes generalized M sets are dependent on the complex number W and the switched variable ro, and the reaso which results in the discontinuity of switched processes generalized M sets is the discontinuity of choice of the pricipal range of phase angle.

采用一维时间序列相空间重构技术和混沌的定量判据，对缺氧窒息而引起的中枢神经损伤（Hypoxic-Asphyxic Injury, HAI）实验中仔猪的脑电（Electroencephalogram, EEG）信号进行了分析与计算。通过对生理和损伤状态下仔猪EEG信号的相图、功率谱、关联维数和Lyapunov指数的对比研究，得出如下结论：（1）EEG的相图、功率谱、关联维数和Lyapunov指数反映了大脑的总体动态特征，它们可作为一种定量研究EEG的新方法进行脑损伤的早期诊断；（2）在正常的生理状态下EEG是混沌的，而在损伤状态下则趋于有序。

基于作者提出的开关复映射，阐述了开关广义Mandelbrot集（简称开关广义M集）的构造方法，并构造出一系列复数阶的开关广义Mandelbrot集。通过分析广义M集的构造算法，阐述了广义M集的结构特点。在此基础上对在开关映射作用下复C平面上初始点的轨道进行了研究。发现开关广义M集具有分形结构，其结构特征依赖于复指数及开关变量r0，其断裂的原因是主幅角选取的不连续性。