从膝盖的动力系统到自然射流几何对象
From a dynamical system of the knee to natural jet geometrical objects
摘要：
本文在1-jet空间J^1（R，R^3）上构造了一些自然的几何对象，如非线性联络、Cartan线性联络等（连同它的d-挠率和d-曲率），喷流“电磁”d-场和它的几何“电磁”杨-米尔斯能量，从Grood和Suntay引入的数学模型中给定的控制膝关节三维运动的动力系统开始。研究了由该膝动力系统产生的相应的常能级Yang-Mills能量面。
英文摘要：
In this paper we construct some natural geometrical objects on the 1-jet space J^1(R,R^3), like a nonlinear connection, a Cartan linear connection (together with its d-torsions and d-curvatures), a jet "electromagnetic" d-field and its geometric "electromagnetic" Yang-Mills energy, starting from a given dynamical system governing the three-dimensional motion of the knee in the mathematical model introduced by Grood and Suntay. The corresponding Yang-Mills energetic surfaces of constant level (produced by this knee dynamical system) are studied.
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