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<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">donstu</journal-id><journal-title-group><journal-title xml:lang="en">Advanced Engineering Research (Rostov-on-Don)</journal-title><trans-title-group xml:lang="ru"><trans-title>Advanced Engineering Research (Rostov-on-Don)</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2687-1653</issn><publisher><publisher-name>Don State Technical University</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">donstu-1386</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="en"><subject>MECHANICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>МЕХАНИКА</subject></subj-group></article-categories><title-group><article-title>THE PROBLEMS OF MODELING THE EVOLUTION OF THE DYNAMIC SYSTEM,  INTERACTING WITH THE ENVIRONMENT</article-title><trans-title-group xml:lang="ru"><trans-title>МОДЕЛИРОВАНИЕ ЭВОЛЮЦИИ ДИНАМИЧЕСКОЙ СИСТЕМЫ, ВЗАИМОДЕЙСТВУЮЩЕЙ СО СРЕДОЙ</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>ЗАКОВОРОТНЫЙ</surname><given-names>В.Л.</given-names></name><name name-style="western" xml:lang="en"><surname>ZAKOVOROTNY</surname><given-names>V. L.</given-names></name></name-alternatives></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>ФАМ</surname><given-names>ДИН ТУНГ</given-names></name><name name-style="western" xml:lang="en"><surname>PHAM</surname><given-names>DINH TUNG</given-names></name></name-alternatives></contrib></contrib-group><pub-date pub-type="collection"><year>2006</year></pub-date><pub-date pub-type="epub"><day>16</day><month>10</month><year>2018</year></pub-date><volume>6</volume><issue>3</issue><fpage>184</fpage><lpage>199</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; ZAKOVOROTNY V., PHAM D., 2006</copyright-statement><copyright-year>2006</copyright-year><copyright-holder xml:lang="ru">ЗАКОВОРОТНЫЙ В., ФАМ Д.</copyright-holder><copyright-holder xml:lang="en">ZAKOVOROTNY V., PHAM D.</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://www.vestnik-donstu.ru/jour/article/view/1386">https://www.vestnik-donstu.ru/jour/article/view/1386</self-uri><abstract><p>The article proposes a new method of modeling the evolutional system, which interacts with the environment. The cutting process or tribo-space, which are formed in the contact area of two conjugate mechanical subsystems, are considered as an environment. The features of the environment depend not on the coordinates of the state of the system, but on the trajectories. That is why the parameters of the environment are performed not as integral operators of the equations like Volter equation.</p><p> </p></abstract><trans-abstract xml:lang="ru"><p>В статье предлагается способ математического моделирования эволюционных изменений в динамической системе, взаимодействующей со средой. При этом параметры динамической модели среды представляются в виде интегральных операторов Вольтера относительно траекторий работы и мощности необратимых преобразований.</p><p> </p></trans-abstract><kwd-group xml:lang="ru"><kwd>моделирование</kwd><kwd>эволюция</kwd><kwd>интегральные операторы.</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Заковоротный В.Л., Блохин В.П., Алексейчик М.И. Введение в динамику трибосистем. – Ростов н/Д: ИнфоСервис, 2004. – 680 с.</mixed-citation><mixed-citation xml:lang="en">Заковоротный В.Л., Блохин В.П., Алексейчик М.И. Введение в динамику трибосистем. – Ростов н/Д: ИнфоСервис, 2004. – 680 с.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Заковоротный В.Л., Флек М.Б. Динамика процесса резания. Синергетический подход. – Ростов н/Д: Терра, 2006. – 823 с.</mixed-citation><mixed-citation xml:lang="en">Заковоротный В.Л., Флек М.Б. Динамика процесса резания. Синергетический подход. – Ростов н/Д: Терра, 2006. – 823 с.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
