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The conservative solutions are investigated by the semianalytical and seminumerical method. Furthermore, multiple coexisting attractors are investigated, and circuit is carried out. To study the system\u2019s global structure, dynamics at infinity for this new chaotic system are studied using Poincar\u00e9 compactification of polynomial vector fields in <jats:italic>R<\/jats:italic><jats:sup>3<\/jats:sup>. Meanwhile, the dynamics near the infinity of the singularities are obtained by reducing the system\u2019s dimensions on a Poincar\u00e9 ball. The averaging theory analyzes the periodic solution\u2019s stability or instability that bifurcates from Hopf\u2010zero bifurcation.<\/jats:p>","DOI":"10.1155\/2021\/9948488","type":"journal-article","created":{"date-parts":[[2021,8,17]],"date-time":"2021-08-17T23:22:25Z","timestamp":1629242545000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Dynamical Analysis and Periodic Solution of a Chaotic System with Coexisting Attractors"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3670-1680","authenticated-orcid":false,"given":"Mingshu","family":"Chen","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9182-4421","authenticated-orcid":false,"given":"Zhen","family":"Wang","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9932-3939","authenticated-orcid":false,"given":"Xiaojuan","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Huaigu","family":"Tian","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,8,17]]},"reference":[{"doi-asserted-by":"publisher","key":"e_1_2_9_1_2","DOI":"10.1175\/1520-0469(1963)020<0130:dnf>2.0.co;2"},{"key":"e_1_2_9_2_2","article-title":"Yet another chaotic attractor","volume":"32","author":"Ueta T.","year":"1999","journal-title":"International Journal of Bifurcation and Chaos"},{"doi-asserted-by":"publisher","key":"e_1_2_9_3_2","DOI":"10.1142\/s0218127402004620"},{"doi-asserted-by":"publisher","key":"e_1_2_9_4_2","DOI":"10.1142\/s0218127408021063"},{"doi-asserted-by":"publisher","key":"e_1_2_9_5_2","DOI":"10.1016\/j.neucom.2020.03.083"},{"doi-asserted-by":"publisher","key":"e_1_2_9_6_2","DOI":"10.1007\/s11071-016-2968-x"},{"doi-asserted-by":"publisher","key":"e_1_2_9_7_2","DOI":"10.1016\/j.cnsns.2011.07.017"},{"doi-asserted-by":"publisher","key":"e_1_2_9_8_2","DOI":"10.1007\/s11071-012-0669-7"},{"doi-asserted-by":"publisher","key":"e_1_2_9_9_2","DOI":"10.1016\/j.physleta.2011.10.040"},{"doi-asserted-by":"publisher","key":"e_1_2_9_10_2","DOI":"10.1155\/2021\/8865522"},{"doi-asserted-by":"publisher","key":"e_1_2_9_11_2","DOI":"10.1016\/j.optlastec.2017.09.008"},{"doi-asserted-by":"publisher","key":"e_1_2_9_12_2","DOI":"10.1016\/j.chaos.2018.07.011"},{"doi-asserted-by":"publisher","key":"e_1_2_9_13_2","DOI":"10.3390\/s20051326"},{"doi-asserted-by":"publisher","key":"e_1_2_9_14_2","DOI":"10.1016\/j.jare.2020.05.014"},{"doi-asserted-by":"publisher","key":"e_1_2_9_15_2","DOI":"10.3390\/math9020151"},{"doi-asserted-by":"publisher","key":"e_1_2_9_16_2","DOI":"10.1109\/jsen.2021.3055635"},{"key":"e_1_2_9_17_2","first-page":"190","article-title":"Generalized synchronization and control for incommensurate fractional unified chaotic system and applications in secure communication","volume":"48","author":"Liang H.","year":"2012","journal-title":"Kybernetika"},{"doi-asserted-by":"publisher","key":"e_1_2_9_18_2","DOI":"10.1016\/j.asoc.2018.02.052"},{"doi-asserted-by":"publisher","key":"e_1_2_9_19_2","DOI":"10.14736\/kyb-2018-4-0648"},{"doi-asserted-by":"publisher","key":"e_1_2_9_20_2","DOI":"10.1007\/s11071-018-4384-x"},{"doi-asserted-by":"publisher","key":"e_1_2_9_21_2","DOI":"10.1016\/j.aeue.2018.03.037"},{"doi-asserted-by":"publisher","key":"e_1_2_9_22_2","DOI":"10.1109\/iccse.2009.5228394"},{"doi-asserted-by":"publisher","key":"e_1_2_9_23_2","DOI":"10.1007\/s12043-017-1505-x"},{"doi-asserted-by":"publisher","key":"e_1_2_9_24_2","DOI":"10.1049\/el.2020.1630"},{"doi-asserted-by":"publisher","key":"e_1_2_9_25_2","DOI":"10.1142\/s0218127421500139"},{"doi-asserted-by":"publisher","key":"e_1_2_9_26_2","DOI":"10.1016\/j.cnsns.2020.105341"},{"key":"e_1_2_9_27_2","article-title":"Two-memristor-based chaotic system with infinite coexisting attractors","volume":"54","author":"Lai Q.","year":"2020","journal-title":"IEEE Transactions on Circuits and Systems II: Express Briefs"},{"volume-title":"Engineering Applications of FPGAs","year":"2016","author":"Esteban Tlelo-Cuautle L. 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