Josephson Effect and Isomonodromic Deformations

2018/05/30 by Yulia Bibilo, Bibilo, Yulia
Chemistry · Materials Science · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Magnetism in coordination complexes #Molecular spectroscopy and chirality #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1805.11759

openalex publication_date 2018/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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