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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">INNOVATIVE ECONOMY</journal-id><journal-title-group><journal-title xml:lang="en">INNOVATIVE ECONOMY</journal-title><trans-title-group xml:lang="ru"><trans-title>Инновационная экономика</trans-title></trans-title-group></journal-title-group><issn publication-format="electronic">2413-5607</issn></journal-meta><article-meta><article-id pub-id-type="publisher-id">49142</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">The process of self-organization of the financial system and methods of its research</article-title><trans-title-group xml:lang="ru"><trans-title>Процесс самоорганизации финансовой системы и методы его исследования</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Baiguzina</surname><given-names>Lyuza Zakievna</given-names></name><name xml:lang="ru"><surname>Байгузина</surname><given-names>Люза Закиевна</given-names></name></name-alternatives><bio xml:lang="en"><p>PhD in Economics, Associate Professor, Department of Finance and Taxation, Institute of Economics, Finance and Business, Bashkir State University</p></bio><bio xml:lang="ru"><p>К.э.н., доцент кафедры финансов и налогообложения Института экономики, финансов и бизнеса, Башкирский государственный университет</p></bio><email>Lyuzab@mail.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Institute of Economics, Finance and Business, Bashkir State University</institution></aff><aff><institution xml:lang="ru">Институт экономики, финансов и бизнеса Башкирского государственного университета</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2026-03-26" publication-format="electronic"><day>26</day><month>03</month><year>2026</year></pub-date><volume>7</volume><issue>4</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><history><date date-type="received" iso-8601-date="2026-03-24"><day>24</day><month>03</month><year>2026</year></date><date date-type="accepted" iso-8601-date="2026-03-24"><day>24</day><month>03</month><year>2026</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2026, INNOVATIVE ECONOMY</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2026, Инновационная экономика</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="en">INNOVATIVE ECONOMY</copyright-holder><copyright-holder xml:lang="ru">Инновационная экономика</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/></permissions><self-uri xlink:href="https://journals.rudn.ru/in-econ/article/view/49142">https://journals.rudn.ru/in-econ/article/view/49142</self-uri><abstract xml:lang="en"><p>The article deals with the problem of the self-organization of the country's financial system. The author analyzes the work of other authors on this issue, describes scientific methods for studying the synergistic effect on the financial system: both traditional (statistical methods, causal relationship of variables and statistical correlation) and unconventional modern method - artificial neural networks. This systematic approach to the study of synergistic effect allows to use many mathematical models, which can be considered as alternative ways to develop the financial system. These paths are formed at bifurcation points, where the attractors act as a departure point. In this regard, according to the author, it seems promising to consider the laws of the functioning of the financial system in the Russian Federation from the point of view of a synergistic approach in the formation of financial potential, which manifests itself through the functioning of the financial market and its influence on the financial, banking system at the level of the Russian Federation. <italic>Author in study refers to early warning method.</italic></p></abstract><trans-abstract xml:lang="ru"><p><italic>В статье рассматривается проблема самоорганизации финансовой системы страны. Автор анализирует работы других авторов по данной проблематике, описывает научные методы исследования синергетического эффекта на финансовую систему: как традиционные (</italic><italic>статистические методы,</italic> <italic>причинно-следственную связь переменных и статистическую корреляцию)</italic>, <italic>так и нетрадиционный современный метод </italic>–<italic> искусственные</italic><italic> нейронные сети</italic><italic>. Данный </italic><italic>систематический подход к изучению синергетического эффекта позволяет использовать множество математических моделей, которые можно рассматривать как альтернативные пути развития финансовой системы. Эти пути формируются в точках бифуркации, где аттракторы действуют как точка отхода. </italic><italic>В связи с этим, по мнению автора, перспективным представляется </italic><italic>рассмотрение закономерностей функционирования финансовой системы в Российской Федерации с точки зрения синергетического подхода в формировании финансового потенциала, который проявляется через функционирование финансового рынка и влияние его на финансовую, банковскую систему на уровне Российской Федерации. Автор при исследовании ссылается на метод раннего предупреждения </italic></p></trans-abstract><funding-group/></article-meta><fn-group/></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Abu-Bader S., Abu-Qarn A.S. Financial development and economic growth: empirical evidence from six MENA countries. Review of Development Economics, 2008, № 12(4), рр. 803-817.</mixed-citation><mixed-citation xml:lang="ru">Abu-Bader S., Abu-Qarn A.S. 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