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Dynamical System Modeling and Stability Investigation
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  1. Mathematical methods of system investigation:

    • Investigation of differential, functional-differential and difference systems.
    • Investigation of system stability, controllability and optimization.
    • Bifurcations and chaos in dynamical systems.
    • Lyapunov's methods in system investigation.


  2. Mathematical modeling of processes:

    • Mathematical modeling and investigation of phisical, technical, chemical and biological processes.
    • Mathematical modeling in superconducting systems.
    • Modeling and investigation of technological processes.
    • Mathematical models related to economics and finance.


  3. Modeling and investigation of processes in mechanics:

    • Mathematical modeling in composite materials of mechanics.
    • Modelling and investigation of dynamical processes in elastic and hydroelastic systems.
    • Mathematical modeling in connected fields of mechanics.


  4. Mathematical methods of control and optimization:

    • Methods of control.
    • Methods of optimization.
    • Methods of differential games.


  5. Logic-mathematical methods of modeling:

    • Methods and tools of subject domains specifications.
    • Methods and tools of software systems description.
    • Modal and temporal formalisms of systems modeling.

Invited lecturers will be given 30 minutes, section reports - 15 minutes. A participant can present no more than two reports.