Типові та узагальнені переходи до детермінованого хаосу нетипових атракторів неідеальних динамічних систем

Some applied nonlinear, non-ideal dynamic systems of the fifth order, which are used to describe the oscillations of spherical pendulums and in hydrodynamics, are considered. Maximal attractors, both regular and chaotic, of such systems are constructed. Various bifurcations of maximal attractors are...

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Збережено в:
Бібліографічні деталі
Дата:2022
Автор: Shvets, Aleksandr
Формат: Стаття
Мова:Ukrainian
Опубліковано: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2022
Теми:
Онлайн доступ:http://journal.iasa.kpi.ua/article/view/262018
Теги: Додати тег
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Назва журналу:System research and information technologies

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System research and information technologies
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Резюме:Some applied nonlinear, non-ideal dynamic systems of the fifth order, which are used to describe the oscillations of spherical pendulums and in hydrodynamics, are considered. Maximal attractors, both regular and chaotic, of such systems are constructed. Various bifurcations of maximal attractors are discussed. The transition to deterministic chaos is established for maximal attractors in typical Feigenbaum and Manneville–Pomeau scenarios. The implementation of the generalized alternation scenario for chaotic maximum attractors of such systems is investigated. A sign of the implementation of the scenario of generalized alternation has been revealed.