mathematical modelling

Six-phase induction machines have attracted attention due to their high efficiency and enhanced fault tolerance. Compared to conventional three-phase machines, six-phase drives can operate under the open-circuit of one, two, or even three stator phases, while still generating electromagnetic torque and sustaining mechanical load, although torque ripple, harmonic distortion, and some efficiency loss increase.

In modern medicine, novel technologies play a key role in improving the diagnosis, treatment, and management of patient health. One of the most promising innovations is Digital Twin technology, which enables the creation of virtual models of real-world objects, including human organs. This technology opens new possibilities for personalised medicine, disease prediction, and the optimisation of medical processes. Digital Twins are already actively used in various industries, such as manufacturing, aviation, and urban planning, but their potential in medicine is only beginning to unfold.

In this article one developed the method (algorithm and program) for modelling three-way seismogram of arbitrary dipole point source in a vertically inhomogeneous half-space with the acquisitions. The algorithm and program were tested on the example of a real earthquake, registered at different epicentrum distance for the horizontally-layered models of the environment. Using the proposed methodology I attempted to estimate the seismic moment tensor for the earthquake of Crimea 16. 10. 1998 (Mw = 3.6).

Using the mathematical modelling of electrometric observations over complexes of spin ellipsoids situated on various depths features of their anomalies are investigated on curves of electrical sounding and profiling and methods of effective relaxation of the influence of near-surface inhomogeneities are elaborated.

Regression analysis of the population dynamics of hunting mammals based on Khmilnytskyi forestry was made. Correlation analysis of the observations results between the populations of spotted deer and wisent, spotted deer and wild boar, lepus and fox was made. Modelling of the population dynamics of hunting mammals was done using Mathcad based on the system of recurrent logistics equations and the adequacy of the model by the Pearson's criteria was proved.