Section "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.
Section "Methods and technologies of computer modeling"
- Numerical Methods of Mathematical Physics.
- Method and Technology computer calculations.
- Specialized software and systems.
- Software and Systems Modeling
Section "Modeling and investigation of processes in mechanics"
- Mathematical modeling in composite materials of mechanics.
- Modeling and investigation of dynamical processes in elastic and hydroelastic systems.
- Mathematical modeling in connected fields of mechanics.
Section "Method of control and complex systems research"
- Methods of control and optimization.
- The continuous-discrete systems
- Methods of differential games.
- Fuzzy modeling and systems with uncertainty
- Modelling in economy and ecology
Section "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