On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect

DOI10.1134/S0081543817040046zbMath1377.34108arXiv1609.00244OpenAlexW2964187219MaRDI QIDQ1675233

Peng Zhang

Publication date: 27 October 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00244

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Hypergeometric functions (33C99) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items

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 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, The rotation number integer quantization effect in braid groups, Stokes matrices of a reducible double confluent Heun equation via monodromy matrices of a reducible general Heun equation with symmetric finite singularities, On families of constrictions in the model of an overdamped Josephson junction, Dynamics of the nonholonomic Suslov problem under periodic control: unbounded speedup and strange attractors

Uses Software

• DLMF

Cites Work

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