2 papers
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…
nlin.AO2024
Penrose method for Kuramoto model with inertia and noise
Artem Alexandrov, Alexander Gorsky
Using the Penrose method of instability analysis, we consider the synchronization transition in the Kuramoto model with inertia and noise with all-to-all couplings. Analyzing the P…