Extended model of Josephson junction, linear systems with polynomial solutions, determinantal surfaces, and Painlevé III equations

Geometric methods in ordinary differential equations (34A26) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

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On a remarkable sequence of Bessel matrices
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
Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation
Monodromy problem and the boundary condition for some Painlevé equations
Complete description of determinantal representations of smooth irreducible curves
Polynomial Hamiltonians associated with Painleve equations. I
Birkhoff invariants and effective calculations for meromorphic linear differential equations. I
Geometry of the Prytz planimeter
Self-adjoint determinantal representations of real plane curves
Sur les équations différentielles du second ordre, dont l'intégrale générale a ses points critiques fixes.
On monodromy eigenfunctions of Heun equations and boundaries of phase-lock areas in a model of overdamped Josephson effect
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
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
On the removal of singularities of analytic sets
Galois groups, Stokes operators and a theorem of Ramis
The duck and the devil: Canards on the staircase
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
On properties of the differential equation describing the dynamics 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
General solution of overdamped Josephson junction equation in the case of phase-lock
On holomorphic families of fiber bundles over the Riemannian sphere

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