{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T07:24:40Z","timestamp":1772781880811,"version":"3.50.1"},"reference-count":31,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Uncert. Sys."],"published-print":{"date-parts":[[2023,12]]},"abstract":"<jats:p> This paper presents the system analysis and chaos control synchronization of the Newton\u2013Leipnik system. Uniqueness and existence solutions (equilibrium points or fixed points) of Newton\u2013Leipnik system have been discussed and local analysis of the system at each equilibrium points is studied. Lyapunov exponents and Kaplan\u2013Yorke dimensions, bifurcation diagrams and poincare sections are analyzed and plotted to establish the presence of chaos in the system. Control feedback techniques are simulated in the nonlinear Newton\u2013Leipnik system. Controlling chaos of systems to find the desired result are established. Synchronization methodologies of two identical integer-order Newton\u2013Leipnik systems are yielded applying adaptive control technologies which have been verified through plotting the graphs of tracking the trajectories of master to slave systems, parameter identification results and synchronization of error dynamics diagrams of Newton\u2013Leipnik systems. These findings offer valuable insights and tools applicable to various scientific and technological domains. These results highlight the originality of our study and deepen our understanding of chaos in Newton\u2013Leipnik systems, offering practical applications and enhanced insights for researchers and scientists in chaos analysis. <\/jats:p>","DOI":"10.1142\/s1752890923300029","type":"journal-article","created":{"date-parts":[[2023,10,6]],"date-time":"2023-10-06T03:37:41Z","timestamp":1696563461000},"source":"Crossref","is-referenced-by-count":3,"title":["Analysis and Chaos Control and Synchronization of the Nonlinear Newton\u2013Leipnik System Via Feedback Adaptive Control Techniques"],"prefix":"10.1142","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2943-4825","authenticated-orcid":false,"given":"Sanjay","family":"Kumar","sequence":"first","affiliation":[{"name":"Amity School of Engineering and Technology, Amity University Patna, Patna 801503, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5834-4234","authenticated-orcid":false,"given":"Ahmed E.","family":"Matouk","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, Al-Majmaah University, Riyadh, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3098-3653","authenticated-orcid":false,"given":"Praveen","family":"Kumar","sequence":"additional","affiliation":[{"name":"Ramjas College, Department of Mathematics, University of Delhi, Delhi, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3919-0687","authenticated-orcid":false,"given":"Dharmendra Kumar","family":"Yadav","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Lalit Narayan Mithila University, Darbhanga 846004, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6410-312X","authenticated-orcid":false,"given":"Ram Pravesh","family":"Prasad","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hansraj College, University of Delhi, Delhi 110007, India"}]}],"member":"219","published-online":{"date-parts":[[2023,12,14]]},"reference":[{"key":"S1752890923300029BIB001","doi-asserted-by":"publisher","DOI":"10.1201\/b15060"},{"key":"S1752890923300029BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/s40435-018-0481-4"},{"key":"S1752890923300029BIB003","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.1196"},{"key":"S1752890923300029BIB004","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.821"},{"key":"S1752890923300029BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s40435-020-00609-y"},{"key":"S1752890923300029BIB006","doi-asserted-by":"publisher","DOI":"10.1080\/02286203.2019.1646480"},{"key":"S1752890923300029BIB007","doi-asserted-by":"publisher","DOI":"10.1080\/02286203.2019.1610689"},{"key":"S1752890923300029BIB008","doi-asserted-by":"publisher","DOI":"10.1080\/02286203.2019.1682420"},{"key":"S1752890923300029BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/s40313-021-00714-z"},{"key":"S1752890923300029BIB010","doi-asserted-by":"publisher","DOI":"10.1002\/oca.2428"},{"key":"S1752890923300029BIB011","doi-asserted-by":"publisher","DOI":"10.1007\/s12043-018-1610-5"},{"key":"S1752890923300029BIB012","doi-asserted-by":"publisher","DOI":"10.1080\/02286203.2018.1563393"},{"key":"S1752890923300029BIB013","doi-asserted-by":"publisher","DOI":"10.1080\/02286203.2019.1697413"},{"key":"S1752890923300029BIB014","doi-asserted-by":"publisher","DOI":"10.1007\/s12043-016-1356-x"},{"key":"S1752890923300029BIB015","first-page":"125858","volume":"395","author":"Ahmad I.","year":"2021","journal-title":"Appl. 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