Josephson Effect and Isomonodromic Deformations
Classical Analysis and ODEs
2021-09-15 v3 Dynamical Systems
Abstract
We consider some properties of double confluent Heun equation related to the Josephson Effect. In particular, we prove that adjacency points of phased-locked areas on a parameter plane can be described via poles of Bessel solution of Painleve 3 equation.
Cite
@article{arxiv.1805.11759,
title = {Josephson Effect and Isomonodromic Deformations},
author = {Yulia Bibilo},
journal= {arXiv preprint arXiv:1805.11759},
year = {2021}
}
Comments
The text has been sufficiently reworked and can be found here arXiv:2011.07839