scientific article; zbMATH DE number 7794634

Publication date: 25 January 2024

Full work available at URL: https://arxiv.org/abs/2308.04310

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

rotation number isomonodromic deformations Stokes matrices Josephson junction monodromy operator differential equations on torus phase-lock areas linear systems of complex differential equations Painlevé 3 equation

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Ordinary differential equations and systems on manifolds (34C40) Singular perturbations for ordinary differential equations (34E15) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Phase-lock effect for equations modeling resistively shunted Josephson junctions and for their perturbations
Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
Monodromy problem and the boundary condition for some Painlevé equations
Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
Polynomial Hamiltonians associated with Painleve equations. I
Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
Geometry of the Prytz planimeter
The Painlevé property. One century later
On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect
Painlevé differential equations in the complex plane
Rotation number quantization effect
On spectral curves and complexified boundaries of the phase-lock areas in a 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
The Hess-Appelrot case and quantization of the rotation number
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
Galois groups, Stokes operators and a theorem of Ramis
Tractrices, Bicycle Tire Tracks, Hatchet Planimeters, and a 100-year-old Conjecture
Asymptotic properties of Arnold tongues and Josephson effect
A system on a torus modelling the dynamics of a Josephson junction
On determinants of modified Bessel functions and entire solutions of double confluent Heun equations
Possible new effects in superconductive tunnelling
Stokes phenomena
Connection formulae for asymptotics of the fifth Painlevé transcendent on the real axis
On properties of the differential equation describing the dynamics of an overdamped Josephson junction
On families of constrictions in the model of an overdamped Josephson junction
On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation*
Existence and uniqueness of tronquée solutions of the third and fourth Painlevé equations

This page was built for publication: