Traveling chimera states for coupled pendula

被引:28
|
作者
Dudkowski, Dawid [1 ]
Czolczynski, Krzysztof [1 ]
Kapitaniak, Tomasz [1 ]
机构
[1] Lodz Univ Technol, Div Dynam, Stefanowskiego 1-15, PL-90924 Lodz, Poland
关键词
Chimera states; Coupled pendula; Energy balance; NETWORKS;
D O I
10.1007/s11071-018-4664-5
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
We investigate the phenomenon of traveling chimera states in the ring of self-excited coupled pendula suspended on the horizontally oscillating wheel. The bifurcation scenario of chimera creation and destruction is discussed, and the influence of the suspension's parameters on possible behavior is studied. We describe the properties of the investigated states, analyzing the traveling time as well as the dynamics of the pendula, depending on their position within different pattern's regions. The energy transfer method has been used to present how the units cooperate with each other, making the chimera arising possible. Unlike other studies on traveling chimera states, we examine the typical mechanical system including simple topology of coupling, which suggests that the described behavior can be observed naturally in the models of coupled dynamical oscillators.
引用
收藏
页码:1859 / 1866
页数:8
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