250步混沌强度解析混沌特征及其在心率研究中的应用

应用250步混沌强度分析Lorenz系统，分别对3维和x分量进行了计算表明，250步混沌强度与Lorenz系统的参数有明显关系.计算了正常人的窦性心率的250步混沌强度，得到了它与年龄的关系：y=6.4623-0.0496x，相关系数为-0.669，这一结果支持了Goldberger的观点，如果人的250步混沌强度照此规律衰减，将在130岁降到0.

Chaotic characteristic interperted by 250 step chaometry and its applying to the heart rate

A discrete orbit is seperated into m pieces, eaoh constituted of k near points. The monopolized sphere capacity of a point is the extent seperating this one from the others. Instantaneous chaometry, which represents the total capacity of the k monopolized spheres, showes the total seperating extent of a orbital piece.The k step chaometry is the mean of the instantaneous chaometries of the m orbital pieces. The convergent property of k step chaometry is proved for the asymptotic periodic orbit. Althongh the convergence of k step chaometry has not been proved mathematically for the chaotic orbit, it is verified by numerical analysis. Lorenz attractor is interpreted by the 250 step chaometry. The powerful interpreting capability is shown by the 250 step chaometry of 3_dimensional and x component of the Lorenz system. The regression equation between the 250 step chaometry and the age of the 71 normal sinus heart rate time series is y=6.4623 -0.0496x with the correlation coefficient r=-0.669, which supports the view point of Goldberger, and means that the 250 step chaometry will decrease to zero before 130 years of age.