13 citations · 15 across the 6 of their papers we have counts for
6 papers
Stochastic stability criteria for two-dimensional linear autonomous systems perturbed by white noise
M. M. Shumafov, V. B. Tlyachev
We give necessary and/or sufficient conditions for stochastic stability of second-order linear autonomous systems with parameters, which are perturbed by a random process of the "w…
On Cross Hyperoperatorial Migration of Properties, Related to Natural Number Division Operator
V. Sh. Tlyusten, V. B. Tlyachev
In the article integer divisibility properties and related prime factors natural number representation concepts have been defined over the whole infinite hyperoperation hierarchy.…
The Features Radiation of a Charged Particle Moving Along an Arc of a Circle
S. E. Boychenko, V. B. Tlyachev
A detailed analysis is given of the angular distribution of an charged particle moving along the arc of a circle. The areas of different angular distribution behavior are highlight…
Angular dependence of synchrotron radiation intensity
V. G. Bagrov, V. G. Bulenok, D. M. Gitman +3
The detailed analysis of angular dependence of the synchrotron radiation (SR) is presented. In particular, we analyze the angular dependence of the integral SR-intensity and peculi…
Solutions of relativistic wave equations in superpositions of Aharonov-Bohm, magnetic, and electric fields
V. G. Bagrov, D. M. Gitman, V. B. Tlyachev
We present new exact solutions (in 3+1 and 2+1 dimensions) of relativistic wave equations (Klein-Gordon and Dirac) in external electromagnetic fields of special form. These fields…
Aharonov-Bohm Effect in Cyclotron and Synchrotron Radiations
V. G. Bagrov, D. M. Gitman, A. Levin +1
We study the impact of Aharonov-Bohm solenoid on the radiation of a charged particle moving in a constant uniform magnetic field. With this aim in view, exact solutions of Klein-Go…