On joint application of atomic force microscopy and light scattering data for determination of growth rate for fractal solid state surface height

This work was supported by RFBR, grant N 18-08-01356-a

On exact solution of the Kardar-Parisi-Zhang equation with determinate spatially-inhomogeneous source

This work was supported by RFBR, grant N 18-08-01356-a

Federal public administration implementation in vocational education

© 2015, Review of European Studies. All right reserved. The transition to federal public administration in the Russian education system is determined by the legislation and presupposes responsible participation and interaction in education management of all educational agents. In the presented article an analysis has been carried out on the status of one of the federal public administration factors—information transparency of vocational and higher educational institutions. The paper defines the information realm of educational institutions from the perspective of educational services customers; there have been set the priorities for action in the field of transition to federal public administration of educational institutions. This article is written for managers and employees of the education authorities, educational institutions, as well as for all professionals and individuals interested in developing the Russian education system

Atomic force microscopy in the model’s development of polymeric functional materials formation on inert supports

This work was supported by the RFBR (project No. 18-08-01356 A)

Modelling of growth of fractals with cylindrical generatrix on the surface of the solid state

В докладе представлено моделирование роста фрактальных поверхностей с цилиндрической образующей на поверхности твѐрдого тела. В основу математических моделей положены обобщения уравнения Кардара-Паризи-Цванга. По решениям этих уравнений вычисляется фрактальная размерность растущей поверхности, которую можно сравнить с еѐ оценками по данным сканирующей зондовой микроскопии.In the report modelling of growth of fractals with cylindrical generatrix on surface of solid state is presented. Corner stone of our mathematical models of this process is a number of generalizations of Kardar-Parisi-Zhang equation. Fractal dimension of growing surface is calculated in accordance with solutions of these equations. And the result one can compare with its estimations based on data of scanning probe microscopy for the surface under investigation

О переносе ряда понятий статистической радиофизики в теорию одномерных точечных отображений

In the article, the possibility of using a bispectrum under the investigation of regular and chaotic behaviour of one-dimensional point mappings is discussed. The effectiveness of the transfer of this concept to nonlinear dynamics was demonstrated by an example of the Feigenbaum mapping. Also in the work, the application of the Kullback-Leibler entropy in the theory of point mappings is considered. It has been shown that this information-like value is able to describe the behaviour of statistical ensembles of one-dimensional mappings. In the framework of this theory some general properties of its behaviour were found out. Constructivity of the Kullback-Leibler entropy in the theory of point mappings was shown by means of its direct calculation for the ”saw tooth” mapping with linear initial probability density. Moreover, for this mapping the denumerable set of initial probability densities hitting into its stationary probability density after a finite number of steps was pointed out. В статье обсуждается возможность использования биспектра при исследовании регулярного и хаотического поведения одномерных точечных отображений. Эффективность трансфера этого понятия в нелинейную динамику продемонстрирована на примере отображения Фейгенбаума. Также в работе рассмотрено применение энтропии Кульбака–Лейблера в теории точечных отображений. Показано, что эта величина информационного характера пригодна для описания поведения статистических ансамблей одномерных отображений. В рамках этой теории выявлены некоторые общие свойства её поведения. Конструктивизм энтропии Кульбака–Лейблера в теории точечных отображений показан также прямым её вычислением для отображения «зуб пилы» с линейным начальным распределением вероятностей. Кроме того, для этого отображения указано счётное множество начальных распределений вероятностей, попадающих в его стационарное распределение вероятностей за конечное число шагов. 

Edge States and Chiral Solitons in Topological Hall and Chern–Simons Fields

The multi-component extension problem of the (2+1)D-gauge topological Jackiw–Pi model describing the nonlinear quantum dynamics of charged particles in multi-layer Hall systems is considered. By applying the dimensional reduction (2 + 1)D → (1 + 1)D to Lagrangians with the Chern–Simons topologic fields , multi-component nonlinear Schrodinger equations for particles are constructed with allowance for their interaction. With Hirota‘s method, an exact two-soliton solution is obtained, which is of interest in quantum information transmission systems due to the stability of their propagation. An asymptotic analysis t →±∞ of soliton-soliton interactions shows that there is no backscattering processes. We identify these solutions with the edge (topological protected) states – chiral solitons – in the multi-layer quantum Hall systems. By applying the Hirota bilinear operator algebra and a current theorem, it is shown that, in contrast to the usual vector solitons, the dynamics of new solutions (chiral vector solitons) has exclusively unidirectional motion. The article is published in the author’s wording

Federal public administration implementation in vocational education

© 2015, Review of European Studies. All right reserved. The transition to federal public administration in the Russian education system is determined by the legislation and presupposes responsible participation and interaction in education management of all educational agents. In the presented article an analysis has been carried out on the status of one of the federal public administration factors—information transparency of vocational and higher educational institutions. The paper defines the information realm of educational institutions from the perspective of educational services customers; there have been set the priorities for action in the field of transition to federal public administration of educational institutions. This article is written for managers and employees of the education authorities, educational institutions, as well as for all professionals and individuals interested in developing the Russian education system