Abstract:
Some of the main results of [Cotti G., Dubrovin B., Guzzetti D., Duke Math. J., to appear, arXiv:1706.04808], concerning non-generic isomonodromy deformations of a certain linear differential system with irregular singularity and coalescing eigenvalues, are reviewed from the point of view of Pfaffian systems, making a distinction between weak and strong isomonodromic deformations. Such distinction has a counterpart in the case of Fuchsian systems, which is well known as Schlesinger and non-Schlesinger deformations, reviewed in Appendix A.
This publication is cited in the following 4 articles:
Davide Guzzetti, “Isomonodromic deformations along a stratum of the coalescence locus”, J. Phys. A: Math. Theor., 55:45 (2022), 455202
D. Guzzetti, “Isomonodromic Laplace transform with coalescing eigenvalues and confluence of Fuchsian singularities”, Lett. Math. Phys., 111:3 (2021), 80
Y. Haraoka, “Linear differential equations in the complex domain from classical theory to forefront introduction”: Haraoka, Y, Linear Differential Equations in the Complex Domain: From Classical Theory to Forefront, Lect. Notes Math., Lecture Notes in Mathematics, 2271, Springer, 2020, 1+
Giordano Cotti, Boris Dubrovin, Davide Guzzetti, “Isomonodromy deformations at an irregular singularity with coalescing eigenvalues”, Duke Math. J., 168:6 (2019)
Citation in format AMSBIB
Contact us: