<?xml version="1.0" encoding="UTF-8"?>
<!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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">phmath</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Государственного университета просвещения. Серия: Физика-Математика</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of Federal State University of Education. Series: Physics and Mathematics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2949-5083</issn><issn pub-type="epub">2949-5067</issn><publisher><publisher-name>Federal State University of Education</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">phmath-215</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>Статьи</subject></subj-group></article-categories><title-group><article-title>ЗАДАЧА О ПОГОНЕ</article-title><trans-title-group xml:lang="en"><trans-title>PURSUIT PROBLEM</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>Самоявчева</surname><given-names>М. В.</given-names></name></name-alternatives><email xlink:type="simple">fakul-fm@mgou.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Федоров</surname><given-names>Л. И.</given-names></name></name-alternatives><email xlink:type="simple">fakul-fm@mgou.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="ru" id="aff-1"><institution>Государственный университет управления</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2011</year></pub-date><pub-date pub-type="epub"><day>08</day><month>01</month><year>2023</year></pub-date><volume>0</volume><issue>1</issue><fpage>66</fpage><lpage>70</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Самоявчева М.В., Федоров Л.И., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Самоявчева М.В., Федоров Л.И.</copyright-holder><copyright-holder xml:lang="en">Самоявчева М.В., Федоров Л.И.</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.physmathmgou.ru/jour/article/view/215">https://www.physmathmgou.ru/jour/article/view/215</self-uri><abstract><p>На примере задачи о погоне проводится сравнение двух дополняющих
друг друга подходов к изучению данной темы, направленных на повышение познавательной активности учащихся при изучении динамических систем: - с использованием дифференциальных уравнений и с применение имитационной модели.
Графические иллюстрации выполнены в среде MathCad и NetLOGO.</p></abstract><trans-abstract xml:lang="en"><p>In the article for the problem of pursuit a comparison made of two approaches
to the study of this topic, aimed at improving the cognitive activity of students in the
study of dynamical systems: first with using differential equations and second with the
use of a simulation model. Graphic illustrations are made in the environment MathCad
and NetLOGO.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>задача о погоне</kwd><kwd>динамическая система</kwd><kwd>дифференциальные уравнения</kwd><kwd>имитационная модель</kwd></kwd-group><kwd-group xml:lang="en"><kwd>problem of pursuit</kwd><kwd>dynamical systems</kwd><kwd>differential equations</kwd><kwd>simulation model</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">Понтрягин, Л. Оптимизация и дифференциальные игры. «Вестник АН СССР», 1978, № 7, с. 10-17.</mixed-citation><mixed-citation xml:lang="en">Понтрягин, Л. Оптимизация и дифференциальные игры. «Вестник АН СССР», 1978, № 7, с. 10-17.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">http://ccl.northwestern.edu/netlogo/</mixed-citation><mixed-citation xml:lang="en">http://ccl.northwestern.edu/netlogo/</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>
