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Information × Registration Number 0226U003332, (0124U000520) , R & D reports Title Complex-algebraic methods in the theory of dynamic systems and their application to radar problems popup.stage_title Побудова математичних моделей та їх аналіз Head Dilnyi Volodymyr M., Доктор фізико-математичних наук Registration Date 27-03-2026 Organization Lviv Polytechnic National University popup.description1 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. popup.description2 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 popup.authors Ivanna Andrusiak Petro Filevych Anatolij Prykarpatski Oksana Brodiak Maria Kuchma Volodymyr-Myron Miskiv Vita Baksa popup.nrat_date 2026-03-27 Close