Completely integrable holonomic systems of first-order differential equations
Completely integrable holonomic systems of first-order differential equations
复制标题
一阶微分方程的完全可积完整系统
DOI：
10.1017/s0308210500032686
复制
发表时间：
1991
期刊：
影响因子：
--
通讯作者：
S. Izumiya
中科院分区：
文献类型：
--
作者：
S. Izumiya
在sopus Lie意义下的点变换群下，用等价的方法对一个实值函数的一阶微分方程完全可积完整系统进行了分类。为了进行分类，我们利用单参数勒让德展开的概念，归纳出一类特殊的映射胚的发散图，称为积分图。我们的范式是用积分图表示的。
We classify completely integrable holonomic systems of first-order differential equations for one real-valued function by equivalence under the group of point transformations in the sense of Sophus Lie. In order to pursue the classification, we use the notion of one parameter Legendrian unfoldings which induces a special class of divergent diagrams of map germs which are called integral diagrams. Our normal forms are represented by integral diagrams.