https://elib.bsu.by:443/handle/123456789/254277 NPCS Vol.22, no.4 (2019), pp. 311-412 2026-04-20T07:02:28Z https://elib.bsu.by:443/handle/123456789/254374 Заглавие документа: Infinite Process of Forward and Backward Bifurcations in the Logistic Equation with Two Delays Авторы: Kashchenko, I.; Kaschenko, S. Аннотация: Logistic equation with delay play important role in modelling of various biological processes. In this paper we study the behaviour of solutions of a logistic equation with two delays in a small neighbourhood of equilibrium. The main assumption is that Malthusian coefficient is large, so problem is singular perturbed. To study the local dynamics near points of bifurcation an analogues of normal form was constructed. Its coefficients depends on special bounded discontinues function, which takes all its values infinite number of times when large parameter increases to infinity. It is shown that the system under study has such dynamic effect as infinite process of direct and inverse bifurcations as the small parameter tends to zero. 2019-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/254373 Заглавие документа: Experimental Minimization of Power Absorption in Chaotic Synchronization Авторы: Buscarino, A.; Famoso, C.; Fortuna, L.; Frasca, M. Аннотация: In this paper some recent experimental findings on chaotic synchronization are discussed showing how power absorption is minimum when the synchronous state is reached. The case of two Chua’s circuits is then theoretically dealt with confirming that synchronization minimizes power dissipation. The relationship between synchronization and power absorption, highlighted in such experiments and in the analysis presented, paves the way to new interpretations of synchronization in two or more coupled systems. 2019-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/254372 Заглавие документа: Electrostatic Cumulation at Relativistic Energies Авторы: Anishchenko, S. V.; Baryshevsky, V. G.; Gurinovich, A. A. Аннотация: The electrostatic cumulation of current density in relativistic vacuum diodes with ring-type cathodes is described theoretically and confirmed experimentally. The distinctive feature of the suggested cumulation mechanism is a very low energy spread of electrons. As a result of electrostatic cumulation, a thin relativistic electron beam with a current density of 1 kA/mm2 can be formed. 2019-01-01T00:00:00Z https://elib.bsu.by:443/handle/123456789/254371 Заглавие документа: Periodic System of Fullerenes: the Column of Three-Fold Symmetry Авторы: Melker, A. I.; Krupina, M. A.; Zarafutdinov, R. M. Аннотация: We have studied possible ways of growing the fullerenes having initial three-fold symmetry. Beginning with the basic fullerenes C8, C14 and C20, which belong to the ∆n = 4, 6 and 8 series of the periodic table of fullerenes, we obtained intermediate fullerenes are C10, C12, C16 and C18; which fill up the gaps between the basic ones. The intermediate fullerenes are imperfect or semi-perfect. The imperfection is connected either with extra ‘interstitial’ or ‘vacancy’ carbon dimers, both types of dimers playing the role of defects. Only the basic fullerenes have the symmetry of the corresponding column, the intermediate fullerenes having no such symmetry. Considering these fullerenes as imperfect due to defects, one can define them as the fullerenes conserving three-fold topological symmetry. These features are also inherent to other more massive fullerenes which create different families and incorporate fullerenes from C8 to C56. We have calculated their energies and discussed possible reasons of their dependence on a fullerene size and shape. 2019-01-01T00:00:00Z