Coupled systems with quasi-periodic and chaotic dynamics

被引：7
|
作者：
Kuznetsov, Alexander P. [1 ]
Sedova, Yuliya, V [1 ]
Stankevich, Nataliya, V [1 ,2 ]
机构：
[1] Russian Acad Sci, Kotelnikovs Inst Radioengn & Elect, Saratov Branch, Zelenaya 38, Saratov 410019, Russia
[2] Natl Res Univ Higher Sch Econ, Lab Topol Methods Dynam, Bolshaya Pecherskaya Str 25-12, Nizhnii Novgorod 603155, Russia
来源：
CHAOS SOLITONS & FRACTALS | 2023年 / 169卷
关键词：
Quasi-periodic oscillations; Dynamical chaos; Ro center dot ssler system; Lyapunov exponents; chaos with additional zero Lyapunov exponents; SYNCHRONIZATION; OSCILLATIONS; BIFURCATIONS;
D O I：
10.1016/j.chaos.2023.113278
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The interaction of a system with quasi-periodic autonomous dynamics and a chaotic Ro center dot ssler system is studied. We have shown that with the growth of the coupling, regimes of two-frequency and three-frequency quasipe-riodicity, 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.
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页数：9
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