TY - JOUR
T1 - On the Critical Behavior, the Connection Problem and the Elliptic Representation of a Painlevé VI Equation
JF - Mathematical Physics, Analysis and Geometry 4: 293–377, 2001
Y1 - 2001
A1 - Davide Guzzetti
KW - Painleve Equations, Isomonodromy deformations
AB - In this paper we find a class of solutions of the sixth Painlevé equation appearing in\r\nthe theory of WDVV equations. This class covers almost all the monodromy data associated to\r\nthe equation, except one point in the space of the data. We describe the critical behavior close to\r\nthe critical points in terms of two parameters and we find the relation among the parameters at\r\nthe different critical points (connection problem). We also study the critical behavior of Painlevé\r\ntranscendents in the elliptic representation.
PB - Kluwer Academic Publishers
U1 - 6477
U2 - Mathematics
U4 - 1
U5 - MAT/07 FISICA MATEMATICA
ER -