Kuznetsov Alexander P., Sedova Yuliya V., Stankevich Nataliya V. Coupled systems with quasi-periodic and chaotic dynamics. Chaos, Solitons & Fractals , 2023 , 169 (4). р. 113278. ISSN 09600779
Полный текст не доступен из этого репозитория.Аннотация
The interaction of a system with quasi-periodic autonomous dynamics and a chaotic Rössler system is studied. We have shown that with the growth of the coupling, regimes of two-frequency and three-frequency quasiperiodicity, a periodic regime and a regime of oscillation death sequentially arise. With a small coupling strength, doubling bifurcations of three-frequency tori are observed in the system. A chaotic regime, characterized by two additional zero Lyapunov exponents in spectrum, is revealed. Two-parameter Lyapunov exponent analysis and bifurcation analysis are presented. A new bifurcation scenario of transition from the regime of oscillation death to quasi-periodicity in coupled systems is described.
| Тип объекта: | Статья |
|---|---|
| Авторы на русском. ОБЯЗАТЕЛЬНО ДЛЯ АНГЛОЯЗЫЧНЫХ ПУБЛИКАЦИЙ!: | Кузнецов А.П. Седова Ю.В. Станкевич Н.В. |
| Подразделения (можно выбрать несколько, удерживая Ctrl): | СФ-7 лаб. теоретической нелинейной динамики |
| URI: | http://cplire.ru:8080/id/eprint/9188 |
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