Automorphisms of the solution spaces of special double-confluent Heun equations

DOI10.1007/s10688-016-0146-zzbMath1360.34176OpenAlexW2521223305MaRDI QIDQ508813

S. I. Tertychnyi, Victor M. Buchstaber

Publication date: 8 February 2017

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-016-0146-z

zbMATH Keywords

functional equationsautomorphismsspecial functionssolution spacedouble-confluent Heun equation

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (12)

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 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 ⋮ Square root of the monodromy map associated with the equation of RSJ model of Josephson junction ⋮ Group algebras acting on the space of solutions of a special double confluent Heun equation ⋮ Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation ⋮ The rotation number integer quantization effect in braid groups ⋮ Symmetries of the space of solutions to special double confluent Heun equations of integer order ⋮ Categories of symmetry groups of the space of solutions of the special doubly confluent Heun equation ⋮ Special functions emerging from symmetries of the space of solutions to special double confluent Heun equation

Cites Work

• Unnamed Item
• Geometry of the Prytz planimeter
• Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction
• Explicit solution family for the equation of the resistively shunted Josephson junction model
• Tractrices, Bicycle Tire Tracks, Hatchet Planimeters, and a 100-year-old Conjecture
• A system on a torus modelling the dynamics of a Josephson junction
• Possible new effects in superconductive tunnelling

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