https://elib.bsu.by:443/handle/123456789/13163 NPCS Vol.15, no.1, pp. 1-104 (2012) Mon, 20 Apr 2026 21:48:22 GMT 2026-04-20T21:48:22Z https://elib.bsu.by:443/handle/123456789/13176 Заглавие документа: Selection Criteria of Digital Maps for Data Encryption Algorithms from the Viewpoint of Dynamical Chaos. Авторы: Sidorenko, A. V.; Mulyarchik, K. S. Аннотация: The paper presents results obtained with the use of specially developed software in studies of key indicators of discrete maps: discrete Lyapunov exponent and discrete entropy. Estimation of these indicators for discrete chaotic maps enables one to establish their applicability to data encryption algorithms due to correlation between them and such characteristics of encryption algorithm as confusion and diffusion. Selection criteria for discrete chaotic maps to be used in data encryption algorithms have been formulated based on an analysis of the discrete Lyapunov exponent and discrete entropy depending on the cardinality of the set and map parameters for a fixed value of set's cardinality. Sun, 01 Jan 2012 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/13176 2012-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/13175 Заглавие документа: On Solutions of Maxwell Equations in the Space-Time of Schwarzschild Black Hole. Авторы: Ovsiyuk, E. M. Аннотация: It is shown that the generally covariant extended method of Riemann --Silberstein - Majorana - Oppenheime in electrodynamics, specified in Schwarzschild metrics, after separating the variables reduces the problems of electromagnetic solutions to a differential equation similar to that arising in the case of a scalar filed in the Schwarzschild space-time. This differential equation is recognized as a confluent Heun equation. Also, the electromagnetic field is treated on the base of 10-dimensional Duffin - Kemmer approach, when in addition to six components of the strength tensor one uses a 4-component electromagnetic potential. Corresponding system of 10 radial equations is simplified by the use of additional constraints steaming from eigenvalue equation for the spatial parity operator ; the radial system is divided into two subsystems of 4 and 6 equations respectively. In this second approach the problem of electromagnetic field reduces to the confluent Heun differential equation as well. In particular, we show explicitly how solutions found in complex form are embedded into the 10-dimensional formalism. Besides we determine radial functions that are responsible for gauge degrees of freedom. Sun, 01 Jan 2012 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/13175 2012-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/13174 Заглавие документа: Modulated Kink-Antikink Collisions in System of Coupled Models. Авторы: Halavanau, A.; Shnir, Ya. Аннотация: We present a method to modulate two-bounce resonance structure observed in process of kink-antikink collisions in the 1+1 dim model with double-well potential. This is done by coupling of the model to the second scalar sector with radiation propagating over the vacuum. Our results show that the fractal structure in the soliton collisions can be modulated perturbatively and new sequence of two-bounce windows appear as coupling constant increases. An effective model of this mechanism is constructed. Sun, 01 Jan 2012 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/13174 2012-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/13173 Заглавие документа: Shape Analysis for Complex Systems Using Information Geometry Tools. Авторы: De Sanctis, Angela Аннотация: In this paper we use Information Geometry tools to model statistically patterns arising in complex systems and describe their evolution in time. In particular, we focus on the analysis of images with medical applications and propose an index that can estimate the level of self-organization and predict future problems that may occur in these systems. Sun, 01 Jan 2012 00:00:00 GMT https://elib.bsu.by:443/handle/123456789/13173 2012-01-01T00:00:00Z