paper

Josephson Effect and Isomonodromic Deformations

arXiv:1805.11759

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.

The text has been sufficiently reworked and can be found here arXiv:2011.07839