Some dynamical aspects of Painlevé VI

Katsunori Iwasaki ()
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Katsunori Iwasaki: Kyushu University, Faculty of Mathematics

A chapter in Algebraic Analysis of Differential Equations, 2008, pp 143-156 from Springer

Abstract: Abstract We survey some results from our recent studies on the sixth Painlevé equation as a dynamical system. We discuss such topics as phase space and its compactification, Riemann-Hilbert correspondence, Poincaré section, bounded orbits, topological entropy and dynamical degree, and periodic solutions.

Keywords: Painlevé VI equation; stable parabolic connection; Riemann-Hilbert correspondence; Klein singularities; Poincaré section; cubic surface; bounded orbits; topological entropy; dynamical degree; periodic solutions (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_14

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DOI: 10.1007/978-4-431-73240-2_14

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