论文标题
部分可观测时空混沌系统的无模型预测
A nonclassical algebraic solution of a 3-variable irregular Garnier system
论文作者
论文摘要
在本文中,构建了3变量不规则Garnier系统的非经典代数解。腹泻 - loray研究了不规则Garnier系统的代数溶液的分类。代数解决方案有两种类型:经典类型和靠背类型。他们已经表明,$ n $ n $ - 变量不规则的Garnier Systems具有$ n> 1 $的$ N $ Variables的三个非分类代数解决方案。已经给出了三种解决方案中两种的明确形式。本文中构建的解决方案是剩余的代数溶液。
In this paper, a nonclassical algebraic solution of a 3-variable irregular Garnier system is constructed. Diarra--Loray have studied classification of algebraic solutions of irregular Garnier systems. There are two type of the algebraic solutions: classical type and pull-back type. They have shown that there are exactly three nonclassical algebraic solutions for $N$-variables irregular Garnier systems with $N>1$. Explicit forms of two of the three solutions are already given. The solution constructed in the present paper is the remained algebraic solution.