TY - JOUR
T1 - On the stokes geometry of perturbed tangential pearcey systems dedicated to professor m. Kashiwara on his seventieth birthday
AU - Hirose, Sampei
AU - Kawai, Takahiro
AU - Sasaki, Shinji
AU - Takei, Yoshitsugu
N1 - Funding Information:
This work was done when one of the authors (S.S.) was a postdoctoral fellow at the University of Toronto. Furthermore, this work is supported by the Research Institute for Mathematical Sciences, a Joint Usage/Research Center located in Kyoto University. The authors S.H. and Y.T. are also supported by JSPS KAKENHI grant nos. 15K17556 and 26287015, respectively.
Publisher Copyright:
© 2021 Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
KW - Bicharacteristic curve
KW - Exact steepest descent method
KW - Non-hereditary turning point
KW - Stokes geometry
KW - Tangential Pearcey system
KW - Virtual turning point
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U2 - 10.4171/PRIMS/57-3-1
DO - 10.4171/PRIMS/57-3-1
M3 - Article
AN - SCOPUS:85117234409
SN - 0034-5318
VL - 57
SP - 727
EP - 754
JO - Publications of the Research Institute for Mathematical Sciences
JF - Publications of the Research Institute for Mathematical Sciences
IS - 3-4
ER -