| Title | On the Critical Behavior, the Connection Problem and the Elliptic Representation of a Painlevé VI Equation |
| Publication Type | Journal Article |
| Year of Publication | 2001 |
| Authors | Guzzetti, D |
| Journal | Mathematical Physics, Analysis and Geometry 4: 293–377, 2001 |
| Keywords | Painleve Equations, Isomonodromy deformations |
| Abstract | 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. |
| DOI | 10.1023/A:1014265919008 |
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