On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation

DOI10.1007/s10883-018-9411-1zbMath1431.34060arXiv1805.02624OpenAlexW2963385188MaRDI QIDQ2424952

Yanyan Li

Publication date: 25 June 2019

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.02624

zbMATH Keywords

monodromyrotation numberStokes operatorirregular singularityphase-lock areaJosephson effect in superconductivityordinary differential equation on 2-torus

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Ordinary differential equations and systems on manifolds (34C40) Nonautonomous smooth dynamical systems (37C60) Rotation numbers and vectors (37E45) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (5)

On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation* ⋮ Solution space monodromy of a special double confluent Heun equation and its applications ⋮ On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson junction ⋮ Unnamed Item ⋮ On families of constrictions in the model of an overdamped Josephson junction

Cites Work

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