按照非线性理论，作者设计并实施了用于心脏系统非线性研究的深低温停循环（Profound Hy-pothermaia and Circulatory Arrest, 简称PHCA）实验。通过对PHCA实验中几个温度台阶上所采集的心电信号的功率谱分析和Lyapunov指数的计算，得出以下结论：（1）心电信息的功率谱和Lyapunov指数反映了心脏的总体动态特征，它们可用以估计心脏的健康状态；（2）在正常的生理状态下心脏的运动是混沌的，而在病理状态下则趋于有序。

给出了NMIFS（nonlinear markov iterated function system）理论与构造NMIFS吸引子的方法，讨论了一类NMIFS吸引子的平衡向量测度和“矩”分析了NMIFS吸引子的结构物特征. 研究结果表明：对于MIFS，可以通过递归方法来计算矩M（i)（I=1，2，…）；而对于NMIFS，因M（i)（j≥i），故不能直接计算M（i)，而只能计算其近似值。

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.