THEORY OF VALUES OF SINGULAR POINT IN COMPLEX AUTONOMOUS DIFFERENTIAL SYSTEMS
THEORY OF VALUES OF SINGULAR POINT IN COMPLEX AUTONOMOUS DIFFERENTIAL SYSTEMS
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DOI：
10.1360/ya1990-33-1-10
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发表时间：
1990-01
期刊：
影响因子：
--
通讯作者：
Liu Yi-Reng;Li Ji-Ban
中科院分区：
文献类型：
--
作者：
Liu Yi-Reng;Li Ji-Ban
考虑复杂的自主微分系统 (E)。本文的主要成果如下： (i)定义了奇异点值的概念。它可以实现实际系统中鞍值和焦点值的统一。(ii)通过定义李不变量的概念，可以得到奇点值的构造定理和扩展对称原理。 (iii) (E3) 的所有 120 个基本李不变量均已计算。推导了所使用的构造定理、奇点值公式以及(E2)和(E(3)3)的可积条件。
Consider the complex autonomous differential system (E). The main results of this paper are as follows: (i) The concept of values of singular point has been defined. It can realize the unity between the saddle values and the focal values in real systems, (ii) By defining the concept of the Lie-invariant, the constructive theorem of values of singular point and the extended symmetric principle can be obtained. (iii) All the 120 elementary Lie-invariants of (E3) have been computed. The constructive theorem being used, formulas of values of singular point and the integrability conditions of (E2) and (E(3)3) have been derived.