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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">dan</journal-id><journal-title-group><journal-title xml:lang="ru">Доклады Национальной академии наук Беларуси</journal-title><trans-title-group xml:lang="en"><trans-title>Doklady of the National Academy of Sciences of Belarus</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1561-8323</issn><issn pub-type="epub">2524-2431</issn><publisher><publisher-name>The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">dan-181</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group></article-categories><title-group><article-title>ВЛИЯНИЕ ВНЕШНИХ УСЛОВИЙ НА ХАОС В ОБЪЕМНЫХ ЛАЗЕРАХ НА СВОБОДНЫХ ЭЛЕКТРОНАХ</article-title><trans-title-group xml:lang="en"><trans-title>EFFECT OF EXTERNAL CONDITIONS ON THE CHAOS IN VOLUME FREE ELECTRON LASERS</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>СЫТОВА</surname><given-names>С. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>SYTOVA</surname><given-names>S. N.</given-names></name></name-alternatives><email xlink:type="simple">sytova@inp.bsu.by</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="ru" id="aff-1"><institution>Институт ядерных проблем Белорусского государственного университета, Минск</institution><country>Belarus</country></aff><pub-date pub-type="collection"><year>2014</year></pub-date><pub-date pub-type="epub"><day>08</day><month>06</month><year>2016</year></pub-date><volume>58</volume><issue>1</issue><fpage>47</fpage><lpage>52</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; СЫТОВА С.Н., 2016</copyright-statement><copyright-year>2016</copyright-year><copyright-holder xml:lang="ru">СЫТОВА С.Н.</copyright-holder><copyright-holder xml:lang="en">SYTOVA S.N.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://doklady.belnauka.by/jour/article/view/181">https://doklady.belnauka.by/jour/article/view/181</self-uri><abstract><p>Проведено исследование хаотической динамики в объемном лазере на свободных электронах (ОЛСЭ) под влиянием внешних падающих на сеточный резонатор ОЛСЭ электромагнитных волн. Показана возможность изменения типа и величины амплитуды динамического решения, а также подавления паразитных модв ОЛСЭ.</p></abstract><trans-abstract xml:lang="en"><p>The study of chaotic dynamics in the volume free electron laser (VFEL) under the influence of external incident on the VFEL grid resonator electromagnetic waves is proposed. The possibility of changes in the type and magnitude of the amplitude of the dynamic solutions, as well as the suppression of spurious modes in VFEL is demonstrated.</p></trans-abstract></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Benford J., Swegle J. A., Schamiloglu E. High power microwaves, second edition. New York; London, 2007.</mixed-citation><mixed-citation xml:lang="en">Benford J., Swegle J. A., Schamiloglu E. High power microwaves, second edition. 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