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

Akira Shudo ()
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Akira Shudo: Tokyo Metropolitan University, Department of Physics

A chapter in Algebraic Analysis of Differential Equations, 2008, pp 251-264 from Springer

Abstract: 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”.

Keywords: Chaotic System; Lagrangian Manifold; Classical Orbit; Folding Point; Stokes Phenomenon (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-73240-2_21

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DOI: 10.1007/978-4-431-73240-2_21

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