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(Igor Sikorsky Kyiv Polytechnic Institute, 2025) Mulyk, Olena; Pryhalinska, Tetiana

The tutorial outlines one of the main topics of the course of Higher Mathematics 1 year. The main focus is on the methods and theorems needed for further study of the course "Higher Mathematics" Linear algebra. Many solved examples are given and tasks for independent solution are offered. The tutorial is designed for bachelors according to the educational program «Medical Engineering». Branch of knowledge 163 Biomedical Engineering (G22).

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Calculus: part I. Differential calculus of function of one variable

(КПІ ім. Ігоря Сікорського, 2022) Мулик, Олена Василівна; Репета, Леся Анатоліївна

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Change in the ellipticity of radiation in magneto-optical crystals under magneto-mechanical resonance conditions

(Scientific Collection «InterConf», 2022) Linchevskyi, Igor Valentinovich

It is shown that in magneto-optical crystals with both the Faraday effect and birefringence, it is possible to change the ellipticity of polarized radiation due to a change in the magnetization component parallel to the direction of light propagation. Changes in the ellipticity of the radiation are resonant in the region of frequencies of longitudinal magnetomechanical oscillations of the crystal.

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Chaotic attractors in a deterministic system generator - piezoceramic transducer

(UNESP – Campus de São José do Rio Preto, 2007) Krasnopolskaya, T. S.; Shvets, A. Yu.

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Chaotic Oscillations of Nonideal Plane Pendulum Systems

(CMSIM, 2012) Shvets, Aleksandr; Makaseyev, Alexander

The atlas of maps of dynamic regimes of system ”pendulum–electric motor” is constructed. It is established that the deterministic chaos is a typical steady-state regime of the given system. Its class of Feigenbaum universality is defined. The analytical approximation of a Poincare map in a chaotic regime is discovered.

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Complicated Scenarios of Transitions to Deterministic Chaos in Non-Ideal Dynamic Systems

(NTU KhPI, 2016) Shvets, Aleksandr Yu.; Sirenko, Vasiliy

Some of non-ideal dynamic systems are considered. It is discovered and described the complicated transition scenarios from regular to chaotic regimes and transitions between different types of chaotic regimes. Described the transition to chaos, which begins by the Feigenbaum scenario, and ends by intermittency. Also discusses the scenario of intermittency with several laminar phases and one turbulent phase. It is discovered and described transitions "hyperchaotic attractor of one type – hyperchaotic attractor of another type," which are realized according to the scenario of a generalized intermittency, but only with two rough-laminar phases.

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Computer and multimedia technologies at practical classes in physics

(SWorld &D.A. Tsenov Academy of Economics, 2022) Matvieieva, T. V.; Chursanova, M. V.; Gareeva, F. M.

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Computer Graphics in AutoCAD: Automation with Visual Basic for Application

(Igor Sikorsky Kyiv Polytechnic Institute, 2026) Virchenko, Gennadii; Shepel, Hanna; Lebedieva, Olga; Yablonskyi, Petro; Nadkernychna, Tetiana

The textbook presents the general foundations of modern computer-aided shape generation, including the use of geometric models and methods for constructing various lines, surfaces, and solids. The corresponding graphical tools are illustrated using the AutoCAD system, emphasizing the possibilities for increasing the level of automation through the Visual Basic for Applications programming language. The material is linked to the training exercises provided in the appendices. Compared with other publications, the advantage of this textbook lies in the integration of the foundations of computer-aided shape modeling with practical techniques for their implementation and automated execution through user-developed programs. Textbook for bachelor's degree students in Specialty E6 Applied Physics and Nanomaterials.

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Damping of magnetoelastic waves

(Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine., 2020-10) Bar’yakhtar, Viktor Grigor’evich; Danylevych, Oleksandr Gennadiiovych

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Determination of material constants of magnetostrictive materials

(XXI International Scientific and Practical Conference, 2023) Linchevskyi, Igor Valentinovich

A mathematical model of a toroidal inductor with a flat ring core made of a polycrystalline magnetostrictive ferromagnet capable of oscillations was developed, as well as a method of measuring the material constants of a polycrystalline ferromagnetic core based on the resonance frequencies of radial oscillations of a ring placed in a toroidal coil. Material constants are understood as a set of the following quantities: components of the tensor of the modulus of elasticity of a demagnetized ferromagnet, components of the tensor of magnetostrictive constants, and components of the tensor of the magnetic permeability of a ferromagnet.

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Differential and Integral Equations

(Igor Sikorsky Kyiv Polytechnic Institute, 2022) Kopas, Inna; Zhuravska, Ganna

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Effect of optical vibrations on thermoluminescence of polysilane films and nanocomposites

(LLC APF POLYGRAPH SERVICE, 2022) Ostapenko, N. I.; Ostapenko, Yu. V.; Chursanova, М. V.

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Electrical properties of highly nitrogen-doped 6H-SiC single crystals: Microwave cavity perturbation study

(V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine, 2023) Savchenko, D. V.; Yatsyk, D. M.; Genkin, O. M.; Nosachov, Yu. F.; Drozdenko, O. V.; Moiseenko, V. I.; Kalabukhova, E. N.

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EPR study of paramagnetic centers in SiO2:C:Zn nanocomposites obtained by infiltration of fumed silica with luminescent Zn(acac)2 solution

(V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine, 2021-06-16) Savchenko, D. V.; Memon, V. S.; Vasin, A. V.; Kysil, D. V.; Rusavsky, A. V.; Kuz, O. P.; Gareeva, F. M.; Kalabukhova, E. N.

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Excitation and distribution of surface of acoustic waves in Z-CUT ZnO single crystals

(OSLO, 2021) Linchevskyi, Igor Valentinovich

In this work, for ZnO single crystals, analytical expressions are obtained for the components of the displacement vector of surface acoustic waves (SAW) generated by a single electrode and an interdigital transducer. The dependences of the SAW amplitudes, as well as the change in phase-matching frequencies in ZnO single crystals, depending on the thickness of the metallization layer, are found. The numerical values of such corrections can reach 30 and 20 percent, respectively.