3 papers
math.DS2026
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…
math.DS2025
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…
cond-mat.stat-mech2025
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…