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A role of virtual turning points and new Stokes curves in Stokes geometry of the quantum Hénon map

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Algebraic Analysis of Differential Equations

Abstract

A role of virtual turning points and new Stokes curves, that have been proposed as entirely new notions appearing only in higher-order differential equations, is studied in the Stokes geometry of the quantum Hénon map. Characteristics of the Stokes geometry in multi-steps are particularly focused on and generic bifurcation patterns of the Stokes geometry are listed up, which is intended to develop a “pruning theory of Stokes geometry”.

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Author information

Authors and Affiliations

  1. Department of Physics, Tokyo Metropolitan University, Minami-Ohsawa, Hachioji, Tokyo, 192-0397, Japan

    Akira Shudo

Authors
  1. Akira Shudo
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Kinki University, Higashi-Osaka, 577-8502, Japan

    Takashi Aoki

  2. Department of Mathematics, Ochanomizu University, Tokyo, 112-8610, Japan

    Hideyuki Majima

  3. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan

    Yoshitsugu Takei

  4. Faculty of Economics, Keio University, Yokohama, 223-8521, Japan

    Nobuyuki Tose

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Shudo, A. (2008). A role of virtual turning points and new Stokes curves in Stokes geometry of the quantum Hénon map. In: Aoki, T., Majima, H., Takei, Y., Tose, N. (eds) Algebraic Analysis of Differential Equations. Springer, Tokyo. https://doi.org/10.1007/978-4-431-73240-2_21

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