WKB analysis and Poincaré theorem for vector fields

Masafumi Yoshino ()
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Masafumi Yoshino: Hiroshima University, Department of Mathematics, Graduate School of Science

A chapter in Algebraic Analysis of Differential Equations, 2008, pp 335-352 from Springer

Abstract: Abstract A normal form theory of a singular vector field from the viewpoint of an exact WKB analysis is studied. Classical Poincaré’s theorem can be proved by a formal WKB solution, a resummation and an analytic continuation.

Keywords: normal form of vector fields; Poincaré theorem; WKB analysis (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_27

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DOI: 10.1007/978-4-431-73240-2_27

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