Solution space monodromy of a special double confluent Heun equation and its applications
DOI10.1134/S0040577919100027zbMath1437.34087OpenAlexW2982988658WikidataQ126837311 ScholiaQ126837311MaRDI QIDQ2174676
Publication date: 21 April 2020
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0040577919100027
monodromymatrix representationdouble confluent Heun equationsolution continuationcomposition lawRSJ model of Josephson junctionsolution space automorphism
Statistical mechanics of superconductors (82D55) 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 (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Antiquantization of deformed Heun-class equations
- Phase-lock effect for equations modeling resistively shunted Josephson junctions and for their perturbations
- Automorphisms of the solution spaces of special double-confluent Heun equations
- Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation
- Geometry of the Prytz planimeter
- Painlevé equations and isomonodromic deformations of equations of the Heun class
- Heun functions and some of their applications in physics
- On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect
- Rotation number quantization effect
- Square root of the monodromy map associated with the equation of RSJ model of Josephson junction
- 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
- On constrictions of phase-lock areas in model of overdamped Josephson effect and transition matrix of the double-confluent Heun equation
- 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
- Dynamical systems on a torus with identity Poincaré map which are associated with the Josephson effect
- On families of differential equations on two-torus with all phase-lock areas
- On determinants of modified Bessel functions and entire solutions of double confluent Heun equations
- On Bicycle Tire Tracks Geometry, Hatchet Planimeter, Menzin's Conjecture, and Oscillation of Unicycle Tracks
- Antiquantization of the Double Confluent Heun Equation. The Teukolsky Equation
- Superconductivity
This page was built for publication: Solution space monodromy of a special double confluent Heun equation and its applications