|Head of the department:||Nagiev Hasan Ali
Candidate of technical sciences
|Number of employees:||13|
|The main direction of activity:||Mathematical modeling and control: Mathematical modeling based on chemical kinetics principles, systems with lumped and distributed parameters. Non-linear dynamics and qualitative analysis based on computer simulation, control in a wide range of change phase variable with a plurality of stationery states.
Non-holonomic mechanics: Modeling controllable non-holonomic systems with variators and control with tribological criterion.
Statistical study of non-stationery signal sources: Recognition of images on the basis of integral transformation with window functions, diagnoses on the basis of data wavelet-analysis.
Fractal concept in modelling: Problems of fractal equivalent s synthesis in a medium of chaotically arranged channels, application to modeling.
|Mathematical methods of medical diagnostics:||Mathematical modeling and control: A three-dimensional kinetic model of reaction-regeneration system of catalytic cracking plant is elaborated parametric identification is performed, complete topological study of the phase space of this model is fulfilled. On this basis are developed algorithms of control visualization characterized by a wide range of change of phase variables and the use of “Man-machine systems” principles.
Non-holonomic mechanics: Analysis of factors determining non-holonomicity of bonds is made, a mathematical model based on computer simulation facilities is developed and operating characteristics of reproducing external dynamic impacts are studied on their basis.
Statistical study of non-stationery signal sources: A mathematical description is obtained compressing dilemma of signal source non-stationarity and statistical data bulk sufficiency. On this basis with the use of implementation of random sequences the problem of recognizing signal sources has been solved us well as characteristic times of parameter drifts have been found.
Fractal concept in modelling: On the basis of the proposed dendritic model for porous structure of solid catalysts and other chaotically ramified channel formations a model of hydraulic cleaning of motor fuels has been improved.