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

In: Algebraic Analysis of Differential Equations

Author

Listed:
  • Akira Shudo

    (Tokyo Metropolitan University, Department of Physics)

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”.

Suggested Citation

  • Akira Shudo, 2008. "A role of virtual turning points and new Stokes curves in Stokes geometry of the quantum Hénon map," Springer Books, in: Takashi Aoki & Hideyuki Majima & Yoshitsugu Takei & Nobuyuki Tose (ed.), Algebraic Analysis of Differential Equations, pages 251-264, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-73240-2_21
    DOI: 10.1007/978-4-431-73240-2_21
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