V.V. Afanasyev - Dr.Sc. (Eng.), Professor, Department of «Radioelectronic and Quantum Devices» Kazan National Research Technical University named after A.N. Tupolev (KNRTU-KAI). E-mail: nsdx@yandex.ru O.Yu. Bogomolova - Post-graduate Student, Department of «Radioelectronic and Quantum Devices» Kazan National Research Technical University named after A.N. Tupolev (KNRTU-KAI). E-mail: oyubogomolova@kai.ru M.P. Danilaev - Dr.Sc. (Eng.), Professor, Department of «Radioelectronic and Quantum Devices» Kazan National Research Technical University named after A.N. Tupolev (KNRTU-KAI). E-mail: danilaev@mail.ru S.S. Loginov - Ph.D. (Eng.), Associate Professor Department of «Radioelectronic and Quantum Devices» Kazan National Research Technical University named after A.N. Tupolev (KNRTU-KAI). E-mail: sslogin@mail.ru Yu.E. Polsky - Dr.Sc. (Phys.-Math.), Professor, Department of «Radioelectronic and Quantum Devices» Kazan National Research Technical University named after A.N. Tupolev (KNRTU-KAI). E-mail: danilaev@mail.ru

Development of new technologies of perspective materials with desired and reproductive physical-technical properties production re-quires use of appropriate methods of mathematical modeling on the preliminary design stage. One of the promising approaches to description of complex systems, including technological processes, is based on their multimode models. But the problem of definition of modes during formalization of multimode models of complex systems has not been solved yet. In this paper the approach to modes definition in variative multimode models (VMM) of formation of a polymer shell with desired structure process on the surface of submicron particles is examined. A scheme of complex system-s multimode model subjected to external influences is suggested. It is shown that external influences cause branching in structure chart of multimode models, that leads to additional opportunities to provision of desired behavior of complex systems, that is determined by assemblage of all modes. A distribution function defined by a set of parameters, which describe the system state on limited time intervals with regard to random and determined external influences, is suggested for mathematical formalization of considered multimode models. Possibilities of suggested approach to modes definition and building of multimode model of complex system based on probabilistic and time expansions of current processes are demonstrated on the example of formation of polymer shell on the surface of submicron particles in multiphase gas flows.

 

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