13 citations · 26 across the 6 of their papers we have counts for
6 papers
On phase-lock area parquet in a special slow-fast limit of model of Josephson junction
Alexey Glutsyuk
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): exi…
Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking
Artem Alexandrov, Alexey Glutsyuk
The overdamped Josephson junction in superconductivity theory can be modeled by the family of dynamical systems on the torus, which is known as the RSJ model. This family admits an…
Phase-locking in dynamical systems and quantum mechanics
Artem Alexandrov, Alexey Glutsyuk, Alexander Gorsky
In this study, we discuss the Prufer transform that connects the dynamical system on the torus and the Hill equation, which is interpreted as either the equation of motion for the…
On extended model of Josephson junction, linear systems with polynomial solutions, determinantal surfaces and Painlevé III equations
Alexey Glutsyuk
We consider a 3-parameter family of linear special double confluent Heun equations introduced and studied by V.M.Buchstaber and S.I.Tertychnyi, which is an equivalent presentation…
On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation
Yulia Bibilo, Alexey Glutsyuk
The tunneling effect predicted by B.Josephson (Nobel Prize, 1973) concerns the Josephson junction: two superconductors separated by a narrow dielectric. It states existence of a su…
On determinants of modified Bessel functions and entire solutions of double confluent Heun equations
Victor M. Buchstaber, Alexey A. Glutsyuk
We investigate the question on existence of entire solutions of well-known linear differential equations that are linearizations of nonlinear equations modeling the Josephson effec…