Necessary condition for the existence of algebraic first integrals
Necessary condition for the existence of algebraic first integrals
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DOI：
10.1007/bf01230293
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发表时间：
1983-12
期刊：
影响因子：
--
通讯作者：
H. Yoshida
中科院分区：
文献类型：
--
作者：
H. Yoshida
结合解的奇性性质，讨论了一类动力系统的代数第一积分的存在性。证明了在一定条件下，代数第一积分的存在控制着一个表征奇点的量(科瓦列夫斯基指数)，该奇点可以在有限过程中计算。给出了两个简单的例子，说明了主要定理是如何工作的。
Existence of algebraic first integrals for a class of dynamical systems is discussed in connection with the nature of the singularities of solutions. It is shown that under some conditions, the existence of algebraic first integrals controls a quantity characterising a singularity (Kowalevski's exponent) which can be calculated in a finite procedure. Two simple examples are given, which illustrate how main theorems work.