Search academic texts

Information × Registration Number 0218U000909, 0113U001093 , R & D reports Title Formation of structures and non-equilibrium processes in open systems popup.stage_title Head Lev Bohdan Ivanovich, Registration Date 27-02-2018 Organization Bogolyubov Institute for Theoretical Physics of National Academy of Sciences of Ukraine popup.description2 Contribution is made to the application of the theory of dynamical systems for the study of self-organization and chaos in condensed media, in biological and information systems. The theory of the interaction of colloidal particles in a smectic liquid crystal was constructed. The effect of refraction on the statistical properties of the initial flow of the excitatory binding neuron with delayed feedback is investigated analytically. A generalization of the theory of disordered metal is proposed, when the scattering of quasiparticles on impurities is due to a delayed interaction. With the help of a mathematical model autocatalytic processes are found, which results in self-organization, cyclicality in the dynamics of the Krebs cycle. The theory of perturbations and diagram technique for unregistered metal is proposed, when the scattering of quasilates on non-magnetic impurities is caused by late interaction. The structural properties of the electron system on the surface of liquid helium in the presence of an external electric field are investigated. Theoretically, the formation of periodic structures induced by the surface of the sample in the system of colloidal particles in a limited liquid crystal is foreseen. The exact analytical expressions for the multiintervalent probability density for the lengths of the initial interimpulse intervals are obtained, and the non-markerity of the initial flow of the inhibitory binding neuron with refraction and delayed feedback is proved. Using the mathematical model of the Krebs cycle, the dependence of the cyclicity of the metabolic process on the magnitude of the final product of oxidation and on the level of carbon dioxide produced is investigated. The superconductivity model is proposed, where the energy gap is asymptotically directed to zero with increasing temperature or magnetic field. In order to describe the phase transitions that are accompanied by the formation of spatially inhomogeneous structures, a model of the scalar field is proposed, which includes the field connection with its gradient. A general expression for the energy of interaction between colloidal particles of arbitrary shape, the size in a homeotropic nematic cell with different elastic constants of Franck is obtained. With the aid of a mathematical model, the metabolic process of glycolysis, which emerged as a product of biochemical evolution in protobionts, was investigated. "For a wide class of neural models it is strictly proved that the activity of the excitatory neuron with the delayed feedback is non-Markovian. It is proposed to experimentally investigate the method of stabilizing the fluctuations of the optical channel in the open space by expanding the beam, and an approximate method for solving the Ginzburg-Landau equations for multizone superconductors and it is shown that the functional of the free energy of a multiband superconductor can be reduced to the functional of the Ginzburg-Landau effective single-band superconductor A generalization of the concept of long-range elastic interaction in a continuous medium is proposed.The model of an elliptic beam for the distribution of the probability of the coefficient of passage through the atmosphere is proposed A method for the preparation of multi-mode sub-Poisson light by means of a control photo of the detection of a multimode bipartite compressed vacuum and the overlaying of the condition on the main photodetector. air bubbles in a liquid crystal. Under normal boundary conditions, each bubble of air in a liquid crystal creates a defect that violates the symmetry of evaporation of air into a liquid crystal through the surface of the bubble. For an integrating neuron with losses with a threshold of 2 stimulated by the Poisson flow, the intensity of the output stochastic process as a function of the physical parameters of the neuron and the intensity of the input process is calculated (without the use of diffusion approximation). Using the mathematical model, the process of interaction of metabolic processes of glycolysis and gluconeogenesis is investigated. The existence of elastic hexadecapoles - "colloidal atoms filled with g-orbitals" - has been proved. The existence of a Coulomb type interaction between colloidal particles in a liquid crystal is theoretically established and experimentally confirmed by the distortion of the symmetry of the director's deformations created by the surface of colloidal particles in the presence of appropriate conditions on the surface of the particles itself and of the sample of the liquid crystal. Using numerical simulation, it was determined which physical processes ensure traversal traversal in the neural network. For a wide class of neural models of the inhibitory pulse neuron with delayed feedback, explicit formulas are presented for representing the output stochastic process through the characteristics of the feedback line and the output stochastic process of the neuron without feedback. Product Description popup.authors Відибіда Олександр Константинович Васильєв Дмитро Юрійович Григоришин Костянтин Віталійович Грицай Валерій Йосипович Кравчук Ксенія Григоріївна Лев Богдан Іванович Ребеш Анастасія Петрівна Тимчишин Віталій Богданович Товкач Олег Миколайович Усенко Владислав Костянтинович popup.nrat_date 2020-04-02 Close