2.3k citations · 4.1k across the 22 of their papers we have counts for
22 papers
Impact of field heterogeneity on the dynamics of the forced Kuramoto model
S. Yoon, E. A. P. Wright, J. F. F. Mendes +1
We studied the impact of field heterogeneity on entrainment in a system of uniformly interacting phase oscillators. Field heterogeneity is shown to induce dynamical heterogeneity i…
Topological phase transition in the periodically forced Kuramoto model
E. A. P. Wright, S. Yoon, J. F. F. Mendes +1
A complete bifurcation analysis of explicit dynamical equations for the periodically forced Kuramoto model was performed in [L. M. Childs and S. H. Strogatz. Chaos 18 , 043128 (200…
Feynman Functional Integral in the Fokker Theory
Natalia Gorobey, Alexander Lukyanenko, A. V. Goltsev
The equivalence of two formulations of Fokker's quantum theory is proved - based on the Feynman functional integral representation of the propagator for a system of charges with di…
A Natural Gauge in Quantum Electrodynamics
Natalia Gorobey, Alexander Lukyanenko, A. V. Goltsev
An alternative representation of the kernel of the evolution operator in quantum electrodynamics is obtained in the form of a functional integral, in which the gauge momentum corre…
A Way of Separating Dynamics and Gauge Transformations in Yang-Mills Theory
Natalia Gorobey, Alexander Lukyanenko, A. V. Goltsev
A modification of the gauge theory is proposed, in which the set of generalized coordinates is supplemented with symmetry transformation parameters, and a condition is additionally…
Proper Time and Mass of the Universe
Natalia Gorobey, Alexander Lukyanenko, A. V. Goltsev
A modification of the homogeneous isotropic model of the Friedman universe with a scalar field is proposed, in which the proper time of the universe is added to the dynamic variabl…