Stokes Phenomenon and Spectral Locus in a Problem of Singular Perturbation Theory
摘要
Abstract
The paper deals with the spectral localization in a model problem of singular perturbation theory and the role of the Stokes phenomenon in this context. We study some typical properties of the asymptotic distribution of eigenvalues and, in particular, topologically different types of the spectral configurations in the semiclassical approximation. In this setting the question naturally arises about the corresponding spectral dynamics and the deformation of the actual limit spectral configurations.
DOI 10.1134/S1061920824030026