On the Stokes geometry for the Pearcey system and the (1,4) hypergeometric system (Recent development of micro-local analysis for the theory of asymptotic analysis)
On the Stokes geometry for the Pearcey system and the (1,4) hypergeometric system (Recent development of micro-local analysis for the theory of asymptotic analysis)
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关于皮尔西系统和 (1,4) 超几何系统的斯托克斯几何（渐近分析理论的微局部分析的最新发展）
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Sampei Hirose
中科院分区：
文献类型：
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作者：
Sampei Hirose
本文研究了两个具体完整系统，即Pearcey系统和（1，4）超几何系统的精确WKB分析，并研究了它们的Stokes几何结构。特别地，我们讨论了这两个完整系统的Stokes几何与通过限制这些系统得到的三阶常微分方程的Stokes几何之间的关系。我们表明，该系统的Stokes曲面包含新的Stokes曲线有关的Stokes现象的WKB解的常微分方程通过限制他们。此外，还表明与斯托克斯现象无关的新斯托克斯曲线也包含在斯托克斯曲面中。本文还讨论了（1，4）超几何系统的Stokes曲面与通过约束它得到的常微分方程虚转向点结构之间的关系。
In this paper, we study the exact WKB analysis for two concrete holonomic systems, that is, the Pearcey system and the (1,4) hypergeometric system, and investigate the structure of their Stokes geometry. In particular, we discuss the relationship between the Stokes geometry for these two holonomic systems and the Stokes geometry for third‐order ordinary differential equations obtained by restricting these systems. We show that the Stokes surfaces of the systems contain the new Stokes curves relevant to Stokes phenomena for WKB solutions of the ordinary differential equations obtained by restricting them. Furthermore, it is also shown that new Stokes curves irrelevant to Stokes phenomena are included in the Stokes surface as well. We also discuss the relationship between the Stokes surface for the (1,4) hypergeometric system and the structure of virtual turning points of the ordinary differential equation obtained by restricting it.
斯托克斯几何模型虚拟转折点的几何结构
DOI：
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发表时间：
2008
期刊：
RIMS kokyuroku Bessatsu B10
影响因子：
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作者：
N. Honda;R. Potthast;G. Nakamura;M. Sini;N. Honda
通讯作者：
N. Honda