JournalsprimsVol. 57, No. 3/4pp. 727–754

On the Stokes Geometry of Perturbed Tangential Pearcey Systems

  • Sampei Hirose

    Shibaura Institute of Technology, Saitama, Japan

  • Takahiro Kawai

    Kyoto University, Japan

  • Shinji Sasaki

    Shibaura Institute of Technology, Tokyo, Japan

  • Yoshitsugu Takei

    Doshisha University, Kyoto, Japan
On the Stokes Geometry of Perturbed Tangential Pearcey Systems cover

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Abstract

In this paper we investigate the Stokes geometry of a perturbed tangential system of the Pearcey system to a hyperplane, in particular, the effect of a new kind of virtual turning point of the system that originates from its multiple-characteristic property at a non-hereditary turning point. We also study the activity of Stokes curves of the system by using the exact steepest descent method.

Cite this article

Sampei Hirose, Takahiro Kawai, Shinji Sasaki, Yoshitsugu Takei, On the Stokes Geometry of Perturbed Tangential Pearcey Systems. Publ. Res. Inst. Math. Sci. 57 (2021), no. 3/4, pp. 727–754

DOI 10.4171/PRIMS/57-3-1