On movable singularities of Garnier systems
R.R.Gontsov
TL;DR
This paper investigates the movable singularities of Garnier systems by exploring their relationship with Schlesinger isomonodromic deformations of Fuchsian systems, providing insights into their complex analytic structure.
Contribution
It introduces a novel approach linking Garnier systems' singularities with Schlesinger deformations, enhancing understanding of their analytic behavior.
Findings
Characterization of movable singularities in Garnier systems
Connection established between Garnier systems and Schlesinger deformations
Insights into the analytic structure of solutions
Abstract
We study movable singularities of Garnier systems using the connection of the latter with Schlesinger isomonodromic deformations of Fuchsian systems
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Taxonomy
TopicsMolecular spectroscopy and chirality · Quantum chaos and dynamical systems · Supramolecular Self-Assembly in Materials