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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2020,10]]},"abstract":"<jats:p> In [Molaie et al., 2013] the authors provided the expressions of 23 quadratic differential systems in [Formula: see text] with the unusual feature of having chaotic dynamics coexisting with one stable equilibrium point. In this paper, we consider 23 classes of quadratic differential systems in [Formula: see text] depending on a real parameter [Formula: see text], which, for [Formula: see text], coincide with the differential systems given by [Molaie et al., 2013]. We study the dynamics and bifurcations of these classes of differential systems by varying the parameter value [Formula: see text]. We prove that, for [Formula: see text], all the 23 considered systems have a nonisolated zero\u2013Hopf equilibrium point located at the origin. By using the averaging theory of first order, we prove that a zero\u2013Hopf bifurcation takes place at this point for [Formula: see text], which leads to the creation of three periodic orbits bifurcating from it for [Formula: see text] small enough: an unstable one and a pair of saddle type periodic orbits, that is, periodic orbits with a stable and an unstable manifold. Furthermore, we numerically show that the hidden chaotic attractors which exist for these systems when [Formula: see text] are obtained by period-doubling route to chaos. <\/jats:p>","DOI":"10.1142\/s0218127420501898","type":"journal-article","created":{"date-parts":[[2020,10,30]],"date-time":"2020-10-30T01:22:12Z","timestamp":1604020932000},"page":"2050189","source":"Crossref","is-referenced-by-count":9,"title":["Zero\u2013Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium"],"prefix":"10.1142","volume":"30","author":[{"given":"Jaume","family":"Llibre","sequence":"first","affiliation":[{"name":"Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona \u2013 UAB, 08193 Bellaterra, Barcelona, Catalonia, Spain"}]},{"given":"Marcelo","family":"Messias","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica e Computa\u00e7\u00e3o, Faculdade de Ci\u00eancias e Tecnologia, Universidade Estadual Paulista \u2013 UNESP, 19060-900 P. Prudente, S\u00e3o Paulo, Brazil"}]},{"given":"Alisson","family":"de Carvalho Reinol","sequence":"additional","affiliation":[{"name":"Departamento Acad\u00eamico de Matem\u00e1tica, Universidade Tecnol\u00f3gica Federal do Paran\u00e1 \u2013 UTFPR, 86812-460 Apucarana, Paran\u00e1, Brazil"}]}],"member":"219","published-online":{"date-parts":[[2020,10,29]]},"reference":[{"key":"S0218127420501898BIB001","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s12043-018-1569-2","volume":"90","author":"Abdolmohammadi H. R.","year":"2018","journal-title":"Pramana \u2014 J. Phys."},{"key":"S0218127420501898BIB002","doi-asserted-by":"crossref","first-page":"481","DOI":"10.1007\/s11071-015-2501-7","volume":"84","author":"Akgul A.","year":"2016","journal-title":"Nonlin. Dyn."},{"key":"S0218127420501898BIB003","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.matcom.2018.03.008","volume":"151","author":"C\u00e2ndido M. R.","year":"2018","journal-title":"Math. Comput. 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