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Introduction to the Painlevé Test

Guido Mazzuca
Institution: 
SISSA
Location: 
A-134
Schedule: 
Monday, February 5, 2018 - 11:00 to 12:00
Abstract: 

In this seminar I will discuss the so called Painlevé test for ODEs, which is a useful algorithm to figure out if an ODE or a system of ODEs is of P-type. In particular I will focus my attention on the so called $\alpha$-method introduced by Painlevé and on the test introduced by Kovalevsky and Gambier.  I will illustrate how the two algorithms work though several examples and I will use them in order to classify which ODE of the first order are of P-type and to prove that $P_I$ is of P-type.

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