Ziglin S. L.
Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow.
Chaos. 1998 Mar;8(1):272-273. doi: 10.1063/1.166305.
In this paper we report on the absence of a real-analytic first integral for the well-known system describing the steady-state flow of an ideal incompressible liquid with periodic boundary conditions, called ABC flow, in the case when two of the three parameters entering the system are equal and some inequality exists between them and the third parameter. (c) 1998 American Institute of Physics.
在本文中，我们报告了在如下情形下，对于描述具有周期性边界条件的理想不可压缩流体稳态流动的著名系统（称为ABC流）不存在实解析首次积分：该系统中的三个参数中有两个相等，且它们与第三个参数之间存在某种不等式关系。(c) 1998美国物理研究所。
