Modernized Method of Averaged Characteristics for Problem Solving of Multiharmonic Resonant Interactions in Devices of High-Current Electronics

We modernize the method of averaged characteristics in the part of constructing scheme of asymptotic integration of nonlinear differential equation systems, taking into account the features of multiharmonic resonant interactions in devices high-current electronics. The schemes of asymptotic integrat...

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Main Authors: V.V. Kulish, A.V. Lysenko, G.A. Oleksiienko, G.V. Bychenko, O.A. Koloskova
Format: Article
Language:English
Published: Sumy State University 2015-06-01
Series:Журнал нано- та електронної фізики
Subjects:
Online Access:http://jnep.sumdu.edu.ua/download/numbers/2015/2/articles/jnep_2015_V7_02015.pdf
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author V.V. Kulish
A.V. Lysenko
G.A. Oleksiienko
G.V. Bychenko
O.A. Koloskova
author_facet V.V. Kulish
A.V. Lysenko
G.A. Oleksiienko
G.V. Bychenko
O.A. Koloskova
author_sort V.V. Kulish
collection DOAJ
description We modernize the method of averaged characteristics in the part of constructing scheme of asymptotic integration of nonlinear differential equation systems, taking into account the features of multiharmonic resonant interactions in devices high-current electronics. The schemes of asymptotic integration, which combines procedures of the straight and inverse transformation, have been constructed. We consider both the case of a fast phase, and the case of many fast phases.
format Article
id doaj-art-38af03463b664a27a9d228f4a5f1e30c
institution Kabale University
issn 2077-6772
language English
publishDate 2015-06-01
publisher Sumy State University
record_format Article
series Журнал нано- та електронної фізики
spelling doaj-art-38af03463b664a27a9d228f4a5f1e30c2025-08-20T03:55:11ZengSumy State UniversityЖурнал нано- та електронної фізики2077-67722015-06-017202015-102015-8Modernized Method of Averaged Characteristics for Problem Solving of Multiharmonic Resonant Interactions in Devices of High-Current ElectronicsV.V. KulishA.V. Lysenko0G.A. Oleksiienko1G.V. Bychenko2O.A. Koloskova3National Aviation University, 1, Kosmonavta Komarova Ave., 03058 Kiev, UkraineNational Aviation University, 1, Kosmonavta Komarova Ave., 03058 Kiev, UkraineNational Aviation University, 1, Kosmonavta Komarova Ave., 03058 Kiev, UkraineNational Aviation University, 1, Kosmonavta Komarova Ave., 03058 Kiev, UkraineWe modernize the method of averaged characteristics in the part of constructing scheme of asymptotic integration of nonlinear differential equation systems, taking into account the features of multiharmonic resonant interactions in devices high-current electronics. The schemes of asymptotic integration, which combines procedures of the straight and inverse transformation, have been constructed. We consider both the case of a fast phase, and the case of many fast phases.http://jnep.sumdu.edu.ua/download/numbers/2015/2/articles/jnep_2015_V7_02015.pdfMethod of averaged characteristicsMultiharmonic parametric resonancesRelativistic electron beamsNonlinear equationsPartial differential equation
spellingShingle V.V. Kulish
A.V. Lysenko
G.A. Oleksiienko
G.V. Bychenko
O.A. Koloskova
Modernized Method of Averaged Characteristics for Problem Solving of Multiharmonic Resonant Interactions in Devices of High-Current Electronics
Журнал нано- та електронної фізики
Method of averaged characteristics
Multiharmonic parametric resonances
Relativistic electron beams
Nonlinear equations
Partial differential equation
title Modernized Method of Averaged Characteristics for Problem Solving of Multiharmonic Resonant Interactions in Devices of High-Current Electronics
title_full Modernized Method of Averaged Characteristics for Problem Solving of Multiharmonic Resonant Interactions in Devices of High-Current Electronics
title_fullStr Modernized Method of Averaged Characteristics for Problem Solving of Multiharmonic Resonant Interactions in Devices of High-Current Electronics
title_full_unstemmed Modernized Method of Averaged Characteristics for Problem Solving of Multiharmonic Resonant Interactions in Devices of High-Current Electronics
title_short Modernized Method of Averaged Characteristics for Problem Solving of Multiharmonic Resonant Interactions in Devices of High-Current Electronics
title_sort modernized method of averaged characteristics for problem solving of multiharmonic resonant interactions in devices of high current electronics
topic Method of averaged characteristics
Multiharmonic parametric resonances
Relativistic electron beams
Nonlinear equations
Partial differential equation
url http://jnep.sumdu.edu.ua/download/numbers/2015/2/articles/jnep_2015_V7_02015.pdf
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