A system on a torus modelling the dynamics of a Josephson junction

DOI10.1070/RM2012v067n01ABEH004781zbMath1248.34062OpenAlexW2010405699MaRDI QIDQ2892026

S. I. Tertychnyi, O. V. Karpov, Victor M. Buchstaber

Publication date: 18 June 2012

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2012v067n01abeh004781

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (11)

On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation* ⋮ On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect ⋮ On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation ⋮ On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson junction ⋮ Unnamed Item ⋮ Explicit solution family for the equation of the resistively shunted Josephson junction model ⋮ Modelling mean fields in networks of coupled oscillators ⋮ Automorphisms of the solution spaces of special double-confluent Heun equations ⋮ The rotation number integer quantization effect in braid groups ⋮ On the adjacency quantization in an equation modeling the Josephson effect ⋮ Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction

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