Sun H H, Charef A
Department of Electrical and Computer Engineering, Drexel University, Philadelphia, PA 19104.
Ann Biomed Eng. 1990;18(6):597-621. doi: 10.1007/BF02368450.
A method to analyze the fractal system in the time domain is presented so that the dynamic behavior of the system can be studied. The fractal system is represented by a set of linear time-varying differential equations whose order depends on the order of the system under non-fractal condition. Four different types of fractal system are considered and their solutions in the time domain are presented. These analyses show that the fractal system is dynamically more stable with smooth changes of magnitude and less oscillatory than the non-fractal system. Examples of the physiological system of the conduction pathways in the heart and also the polarization phenomena of noble metal are presented to illustrate the phenomena.
提出了一种在时域中分析分形系统的方法，以便能够研究该系统的动态行为。分形系统由一组线性时变微分方程表示，其阶数取决于非分形条件下系统的阶数。考虑了四种不同类型的分形系统，并给出了它们在时域中的解。这些分析表明，与非分形系统相比，分形系统在幅度平滑变化时动态上更稳定，振荡更少。给出了心脏传导通路生理系统以及贵金属极化现象的例子来说明这些现象。
