<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-interdisciplinary-mathematics</journal-id>
      <journal-title-group>
        <journal-title>Journal of Interdisciplinary Mathematics</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-012X</issn>
      <issn publication-format="print">0972-0502</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIM-2501</article-id>
      <title-group>
        <article-title>Analyzing nonlinear dynamical systems and chaos using machine learning in physical and biological systems</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Vaidya</surname>
            <given-names>Gendlal</given-names>
          </name>
          <aff>Department of Computer Technology, Yeshwantrao Chavan College of Engineering, Nagpur, Maharashtra, 441110, India</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Iqbal</surname>
            <given-names>Syed Mohd Uzair</given-names>
          </name>
          <aff>Symbiosis Law School Pune (SLS-P), Symbiosis Centre for Advanced Legal Studies and Research (SCALSAR), Symbiosis International (Deemed University), Pune, Maharashtra, 411014, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Khan</surname>
            <given-names>Mehraj Israr</given-names>
          </name>
          <aff>Department of Computer Applications, Bhujbal Knowledge City, Institute of Engineering, Nashik, Maharashtra, 422003, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Gupta</surname>
            <given-names>Kapil</given-names>
          </name>
          <aff>Department of Computer Engineering, St. Vincent Pallotti College of Engineering and Technology, Nagpur, Maharashtra, 441108, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Ashirova</surname>
            <given-names>Anorgul</given-names>
          </name>
          <aff>Department of General Professional Sciences, Mamun University, Khiva, 220900, Uzbekistan</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Goyal</surname>
            <given-names>Shweta</given-names>
          </name>
          <aff>Department of Electrical Engineering, Graphic Era (Deemed to be University), Dehradun, Uttarakhand, 248002, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>3</issue>
      <fpage>663</fpage>
      <lpage>670</lpage>
      <pub-date date-type="pub">
        <day>18</day>
        <month>03</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>Chaos and nonlinear dynamical systems are important for understanding complicated things that happen in biology and physics. The complexity and sensitivity to starting conditions of these systems make it hard for traditional analysis methods to work with them. In this study used Machine Learning and Deep learning Based method, to successfully look at and predict chaotic and nonlinear behaviours. After data is gathered from real-world and computer-simulated biological and physical systems, it is preprocessed and features are extracted in a way that works best for time-series and spatial datasets.</p>
      </abstract>
      <kwd-group>
        <kwd>Nonlinear dynamical systems</kwd>
        <kwd>Chaos theory</kwd>
        <kwd>Machine learning</kwd>
        <kwd>Recurrent neural networks</kwd>
        <kwd>Time-series analysis</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
