On the Logarithmic Asymptotics of the Sixth Painleve' Equation (Summer 2007)

Details On the Logarithmic Asymptotics of the Sixth Painleve' Equation (Summer 2007) On the Logarithmic Asymptotics of the Sixth Painleve' Equation (Summer 2007)

2008-01-08

arxiv.org/abs/0801.1157v4

J.Phys.A: Math.Theor. 41,(2008), 205201-205247

Physics

Mathematical Physics

LaTeX with 8 figures

Scientific paper

10.1088/1751-8113/41/20/205201

We study the solutions of the sixth Painlev\'e equation with a logarithmic
asymptotic behavior at a critical point. We compute the monodromy group
associated to the solutions by the method of monodromy preserving deformations
and we characterize the asymptotic behavior in terms of the monodromy itself.

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