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Information × Registration Number 0205U000562, 0102U002009 , R & D reports Title Investigation of models of dynanical and stochastic processes in non-linear physical systems of physical or other origin popup.stage_title Head Samoylenko Anatoliy Mykhaylovych, Registration Date 01-02-2005 Organization Institute of Mathematics of the National Academy of Sciences of Ukraine popup.description2 The necessary and sufficient conditions of existing periodic solutions slightly nonlinear system of the ordinary differential equetions in the special critical case are found. New class of systemsof linear functional-differential equations, for which an initial problem is uniquely solved are described. Iterative and projective-iterative methods of approximate solutions of the systems of functional-differential equations with restrict are constructed. The structure of the set of the continious solutions of some classes of the systems of difference equations is investigated. The conditions of global stability of zero-equilibrium position of nonlinear scalar functiomal-differential equations of mathematical biology are obtained. An optimal rulling of linear stochastic system is found by the methods of dynamical programming. The conditions of synchronisation in the Kuramoto model of n global connected oscyllator are investigated. A wide class of Gibbs measure, which are defined by relative energies on theconfiguration space is constructed. An existens of the state, which is an evolution of Gibbs state of infinite number of particles, which move in an inhomogenous random media and interact by a superstable pair potential is proved. The mathematical model of conflict with finite set of positions for two rival is proposed. The dynamic of light bunch in nonlinear media is investigated and proved, that birth of waves in optycal systems is connect with bifurcation of birth of periodic solutions. Well-known variation problem of minimum of energy in presence of external fields from potential theory is solved. Product Description popup.authors popup.nrat_date 2020-04-02 Close