2. Articole

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Author: search.filters.author.Barsuk, Alexandr A.

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    Определение значений сингулярных интегралов с приложениями в физике и технике
    (Editura USM, 2024) Barsuk, Alexandr A.; Paladi, Florentin
    The analysis of numerous problems in physics and mechanics naturally leads to singular integrals. In particular, we come to such integrals in the study of the processes occurring in electron plasma first emitted in the fundamental studies of A.A. Vlasov. We show that the calculation of the singular integral in the sense of the principal value leads to its true value and represents a way of uncertainty disclosure.
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    SENSITIVITY ANALYSIS OF THE EQUILIBRIUM STATES OF MULTI-DIMENSIONAL DYNAMICAL SYSTEMS FOR ORDINARY AND BIFURCATION PARAMETER VALUES
    (Springer, 2022) Barsuk, Alexandr A.; Paladi, Florentin
    Dependences of the equilibrium states of multidimensional dynamical systems on the parameters of the dynamical system in a small neighborhood of their equilibrium values are investigated. Cases of ordinary and bifurcation values of parameters are considered. Asymptotic representations are derived for sensitivity formulae of the equilibrium values of parameters. Stability analysis of the equilibrium states for nonlinear complex systems described by the Landau-type kinetic potential with two order parameters and the Lotka–Volterra model is conducted. Two different rate processes as combinations of in series and in parallel pathways are examined.
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    ON THE STABILITY OF EQUILIBRIUM STATES OF THE DYNAMICAL SYSTEMS IN CRITICAL CASES
    (Elsevier, 2021) Barsuk, Alexandr A.; Paladi, Florentin
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    EQUILIBRIUM STATES OF THERMODYNAMIC SYSTEMS IN A SMALL VICINITY OF THE EQUILIBRIUM VALUES OF PARAMETERS: BIFURCATION, STABILITY AND SENSITIVITY ANALYSES
    (Elsevier, 2019) Barsuk, Alexandr A.; Paladi, Florentin
    The dynamic behavior of thermodynamic systems described by a single order parameter and several control parameters is studied in a small neighborhood of ordinary and bifurcation equilibrium values of the system parameters. Using the general methods of investigating the branching (bifurcations) of solutions for nonlinear equations, we performed an exhaustive analysis of the order parameter dependences on the control parameters in a small vicinity of the equilibrium values of parameters, including the stability analysis of the equilibrium states, and the asymptotic behavior of the order parameter dependences on the control parameters (bifurcation diagrams). Relations between the infinitesimal quantities of order parameters and the control of dynamical systems are given, and the formulae for the order parameter sensitivity are presented depending on the variations in the control parameters. In addition, we carried out specific calculations with respect to the thermodynamic systems described by one order parameter and several control parameters in the Landau-type kinetic potential. The peculiarities of the anomalous generation and extinction phenomenon of crystal nuclei at very low temperatures in non-equilibrium supercooled liquids are also presented.
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    GENERALIZED PARAMETRIC MODEL FOR PHASE TRANSITIONS IN THE PRESENCE OF AN INTERMEDIATE METASTABLE STATE AND ITS APPLICATION
    (Elsevier, 2017) Paladi, Florentin; Barsuk, Alexandr A.
    The previously proposed model for the kinetics of first-order phase transitions (Barsuk et al., 2013) is generalized for r order and m control parameters. Bifurcation and stability analyses of the equilibrium states in thermodynamic systems described by the Landau-type kinetic potential with two order parameters is performed both in the absence of an external field, and in the presence of constant and periodic external fields. Kinetics of thermodynamic systems described by such potential in a small neighborhood of the equilibrium states is also studied. Mean transition time for lysozyme protein in dependence of control parameters is obtained based on the developed model. A detailed bifurcation analysis of the cubic equation solutions is given in Appendix.
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    BIFURCATION AND STABILITY ANALYSIS OF THE EQUILIBRIUM STATES IN THERMODYNAMIC SYSTEMS IN A SMALL VICINITY OF THE EQUILIBRIUM VALUES OF PARAMETERS
    (Springer Nature, 2018) Paladi, Florentin; Barsuk, Alexandr A.
    The dynamic behavior of thermodynamic system, described by one order parameter and one control parameter, in a small neighborhood of ordinary and bifurcation equilibrium values of the system parameters is studied. Using the general methods of investigating the branching (bifurcations) of solutions for nonlinear equations, we performed an exhaustive analysis of the order parameter dependences on the control parameter in a small vicinity of the equilibrium values of parameters, including the stability analysis of the equilibrium states, and the asymptotic behavior of the order parameter dependences on the control parameter (bifurcation diagrams). The peculiarities of the transition to an unstable state of the system are discussed and the estimates of the transition time to the unstable state in the neighborhood of ordinary and bifurcation equilibrium values of parameters are given. The influence of an external field on the dynamic behavior of thermodynamic system is analyzed and the peculiarities of the system dynamic behavior are discussed near the ordinary and bifurcation equilibrium values of parameters in the presence of external field. The dynamic process of magnetization of a ferromagnet is discussed by using the general methods of bifurcation and stability analysis presented in the papers.
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    GENERALIZED PARAMETRIC MODEL FOR PHASE TRANSITIONS IN THE PRESENCE OF AN INTERMEDIATE METASTABLE STATE AND ITS APPLICATION
    (Elsevier, 2017) Barsuk, Alexandr A.; Paladi, Florentin
    The previously proposed model for the kinetics of first-order phase transitions (Barsuk et al., 2013) is generalized for r order and m control parameters. Bifurcation and stability analyses of the equilibrium states in thermodynamic systems described by the Landau-type kinetic potential with two order parameters is performed both in the absence of an external field, and in the presence of constant and periodic external fields. Kinetics of thermodynamic systems described by such potential in a small neighborhood of the equilibrium states is also studied. Mean transition time for lysozyme protein in dependence of control parameters is obtained based on the developed model. A detailed bifurcation analysis of the cubic equation solutions is given in Appendix.