A Novel Search Method of Chaotic Autonomous Quadratic Dynamical Systems without Equilibrium Points

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dc.contributor.authorBelozyorov, Vasiliy Ye.en
dc.date.accessioned2017-06-22T13:19:00Z
dc.date.available2017-06-22T13:19:00Z
dc.date.issued2016
dc.descriptionV. Belozyorov: ORCID 0000-0003-2888-8876en
dc.description.abstractEN: A wide class of autonomous real quadratic dynamic system without real (but with two complex conjugate or even imaginary) equilibrium points is considered. For any system of this class, a new idea of the uniquely definite degenerate autonomous real quadratic dynamic system having exactly one real double equilibrium point (there are no complex equilibrium points) is introduced. It is shown that if the degenerate system demonstrates the chaotic behavior, then for the original (not degenerate) system, a similar chaotic behavior also takes place. The idea of the degenerate system for researches of the real quadratic systems, for which number of complex conjugate equilibrium points more than two, is also used. The same idea can be adapted to research of any autonomous real quadratic system having at least one pair complex conjugate equilibrium points. An attempt to apply some derived results to a search problem of hidden chaotic attractors was undertaken. Examples are given.en
dc.identifierDOI: 10.1007/s11071-016-2927-6
dc.identifier.citationBelozyorov, V. A Novel Search Method of Chaotic Autonomous Quadratic Dynamical Systems without Equilibrium Points / V. Belozyorov // Nonlinear Dynamics. — 2016. — Vol. 86, № 2. — P. 835—860. — doi: 10.1007/s11071-016-2927-6. — Режим доступу: https://link.springer.com/article/10.1007/s11071-016-2927-6.en
dc.identifier.urihttp://eadnurt.diit.edu.ua/jspui/handle/123456789/10001
dc.identifier.urihttps://link.springer.com/article/10.1007/s11071-016-2927-6
dc.language.isoen
dc.publisherSpringer Netherlandsen
dc.subjectdynamical system without equilibriumsen
dc.subjectlimit cycleen
dc.subjectprojection on subspaceen
dc.subjectdegenerate systemen
dc.subject1D discrete mapen
dc.subjectchaotic attractoren
dc.subjectdouble saddle focusen
dc.subjectдинамічна система без рівновагuk_UA
dc.subjectграничний циклuk_UA
dc.subjectпроектування на підпростірuk_UA
dc.subjectвироджена системаuk_UA
dc.subject1D дискретна картаuk_UA
dc.subjectхаотичний аттракторuk_UA
dc.subjectподвійний седловой фокусuk_UA
dc.subjectдинамическая система без равновесийru_RU
dc.subjectпредельный циклru_RU
dc.subjectпроецирование на подпространствоru_RU
dc.subjectвырожденная системаru_RU
dc.subject1D дискретная картаru_RU
dc.subjectхаотический аттракторru_RU
dc.subjectдвойной седловой фокусru_RU
dc.subjectКІТuk_UA
dc.titleA Novel Search Method of Chaotic Autonomous Quadratic Dynamical Systems without Equilibrium Pointsen
dc.title.alternativeНовий метод пошуку хаотичних автономних квадратичних динамічних систем без точок рівновагиuk_UA
dc.title.alternativeНовый метод поиска хаотических автономных квадратичных динамических систем без точек равновесияru_RU
dc.typeArticleen
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