Isomonodromy Deformations at an Irregular Singularity with Coalescing Eigenvalues

Giordano Cotti, Boris Dubrovin, Davide Guzzetti

We consider an $n\times n$ linear system of ODEs with an irregular singularity of Poincaré rank 1 at $z=\infty$, holomorphically depending on parameter $t$ within a polydisc in $\m…