Information Technology for Stability Analysis of Complex Nonlinear Dynamic Systems Using the Example of a Biological Object
Olga Ivanets, Rimvidas Khrashchevskyi, Maryna Arkhyrei, Vladyslav Shlykov, Oleksii Horskyi, Н.В. Білак · 2025
Recently, studies of chaotic processes in biological systems have been actively conducted as one of the directions of development of the theory of stability of dynamic systems. This approach is due to the presence of a chaotic component in biological systems as a reaction to the constant influence of destabilizing factors. Ensuring the stability of the functional state when performing professional duties and timely forecasting the exit of such a system from a stable state is an urgent task. The work substantiates a method that combines the component of visual representation of time series in phase space by methods of nonlinear dynamics with quantitative calculations of the average length and maximum length of vertical and of diagonal lines; entropy; trapping time, etc. This method allows you to get an additional prognostic component from the already measured ones medical data, which are arranged in the form of time series, for evaluation stability of the functional state of a biological object.