Registration Number
0226U003332,
(0124U000520)
, R & D reports
Title
Complex-algebraic methods in the theory of dynamic systems and their application to radar problems
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Побудова математичних моделей та їх аналіз
Head
Dilnyi Volodymyr M., Доктор фізико-математичних наук
Registration Date
27-03-2026
Organization
Lviv Polytechnic National University
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The goal is the development of new methods of analysis of mathematical models described by dynamic systems, and their application in physics, in particular, the theory of transmission and signal processing; biology, economics, and chaos theory.
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The project as a holistic study is devoted to the analysis of dynamic systems and their application to radar problems. The second stage of the project implementation involved the analysis of mathematical models using the methods of complex analysis and algebra. Mathematical models, which are dynamic systems, were investigated. The behavior of systems, which in turn describe various physical phenomena, in particular explosions, contact of different bodies, liquids and gases, was described. Particular attention was paid to the analysis of invariants - properties that are invariant in a certain sense. Our study describes the invariants of vector fields, which are one of the fundamental means of constructing mathematical models.
Dirichlet series are a powerful means of approximating functions. Its use allows in certain cases to significantly simplify the process of information transmission. A description of absolutely convergent Dirichlet series in the unit circle was obtained. It should be noted that absolutely convergent series are resistant to permutations of their members.
Methods have been found to identify point and some more general signals as functions generated by Cauchy-type transforms.
Product Description
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Ivanna Andrusiak
Petro Filevych
Anatolij Prykarpatski
Oksana Brodiak
Maria Kuchma
Volodymyr-Myron Miskiv
Vita Baksa
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2026-03-27
