From the 1 of 4 linked papers with an AI index.
4 papers
On phase-lock area parquet in a special slow-fast limit of model of Josephson junction
Alexey Glutsyuk
The paper investigates the asymptotic shape of phase‑lock regions in the overdamped Josephson junction (RSJ) model as the driving frequency tends to zero, showing that after rescal…
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…