caa a22 4500 605525285 CHVBK 20210128100758.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10958-015-2452-z doi (NATIONALLICENCE)springer-10.1007/s10958-015-2452-z Savenko P. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut Synthesis of Radiating Systems with Flat Aperture According to a Prescribed Power Directivity Pattern. І. Finding the Set of Bifurcation Points of the Solutions [Elektronische Daten] [P. Savenko] We study the problem of synthesis of a radiating system with flat aperture according to a prescribed power directivity pattern. We consider a special case where the field in the aperture is linearly polarized. It is shown that this class of problems is characterized by the nonuniqueness and bifurcation of solutions. The problem of finding the set of bifurcation points is reduced to the Cauchy problem for a differential equation of the first order. We construct numerical algorithms and present numerical examples of finding the bifurcation lines of solutions of the main equations of synthesis. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/3(2015-07-01), 366-381 1072-3374 208:3<366 2015 208 10958 https://doi.org/10.1007/s10958-015-2452-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2452-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Savenko P. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/3(2015-07-01), 366-381 1072-3374 208:3<366 2015 208 10958