On the Stokes Geometry of Perturbed Tangential Pearcey Systems
Sampei HiroseShibaura Institute of Technology, Saitama, Japan
Takahiro KawaiKyoto University, Japan
Shinji SasakiShibaura Institute of Technology, Tokyo, Japan
Yoshitsugu TakeiDoshisha University, Kyoto, Japan
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. 727–754DOI 10.4171/PRIMS/57-3-1