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Thus, it is difficult to demonstrate the existence of chaos by \u0160il\u2019nikov theorem. Consequently, the topological horseshoe theory is adopted to rigorously prove the chaotic behaviors of the system in the phase space of Poincar\u00e9 map. Then, a single control scheme is designed to stabilize the dynamical system to its zero-equilibrium point. Besides, to verify the theoretical analyses physically, the attractor and stabilization scheme are further realized via DSP-based technique.<\/jats:p>","DOI":"10.1155\/2020\/6786832","type":"journal-article","created":{"date-parts":[[2020,1,8]],"date-time":"2020-01-08T18:32:35Z","timestamp":1578508355000},"page":"1-11","source":"Crossref","is-referenced-by-count":2,"title":["Analysis, Stabilization, and DSP-Based Implementation of a Chaotic System with Nonhyperbolic Equilibrium"],"prefix":"10.1155","volume":"2020","author":[{"given":"Xuan-Bing","family":"Yang","sequence":"first","affiliation":[{"name":"School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China"},{"name":"School of Information Science and Engineering, Hunan Institute of Science and Technology, Yueyang 414006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9731-0501","authenticated-orcid":true,"given":"Yi-Gang","family":"He","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China"},{"name":"School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6329-7719","authenticated-orcid":true,"given":"Chun-Lai","family":"Li","sequence":"additional","affiliation":[{"name":"School of Information Science and Engineering, Hunan Institute of Science and Technology, Yueyang 414006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chang-Qing","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-2990-z"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2015.02.005"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1007\/s11042-017-4362-1"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127419500950"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2014.2363168"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2013.07.029"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1757-7"},{"issue":"1","key":"8","volume":"28","year":"2018","journal-title":"International Journal of Bifurcation and Chaos"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1063\/1.3279568"},{"issue":"1","key":"10","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1109\/TAES.2015.140544","volume":"52","year":"2016","journal-title":"IEEE Transactions on Aerospace and Electronic Systems"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0469(1963)020<0130:dnf>2.0.co;2"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.2307\/2695795"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/s0960-0779(03)00202-9"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127409023548"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127411028866"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.05.029"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1142\/s0218127410025545"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.15388\/na.18.1.14032"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.64.1196"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(92)90745-8"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1007\/s12648-012-0139-6"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1115\/1.4007910"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2009.11.017"},{"issue":"6","key":"24","volume":"90","year":"2018","journal-title":"Pramana-J. 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