3 citations · 7 across the 6 of their papers we have counts for
6 papers
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…
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…
On out-of-equilibrium phenomena in pseudogap phase of complex SYK+U model
Artem Alexandrov, Alexander Gorsky
In this Letter we consider the out-of-equilibrium phenomena in the complex Sachdev-Ye-Kitaev (SYK) model supplemented with the attractive Hubbard interaction (SYK+U). This model pr…
Information geometry and synchronization phase transition in Kuramoto model
Artem Alexandrov, Alexander Gorsky
We discuss the recently proposed description of Kuramoto model in terms of hyperbolic space and relate it to the information geometry. In particular the dynamical equation in Kuram…
Synchronization on star graph with noise
Artem Alexandrov
We investigate synchronization in the Kuramoto model with noise on a star graph. By revising the case of a complete graph, we propose a closed form of self-consistency equation for…
Synchronization on star-like graphs and emerging symmetries at strong coupling
Artem Alexandrov, Pavel Arkhipov, Alexander Gorsky
We discuss the aspects of synchronization on inhomogeneous star-like graphs with long rays in Kuramoto model framework. We assume the positive correlation between internal frequenc…