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arXiv 1402.6152nlin.CD
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关于离散低维Kuramoto模型中多频拟周期区的层次性

About hierarchy of multifrequency quasiperiodicity regimes in discrete low-dimensional Kuramoto model

Alexander P. Kuznetsov, Yuliya V. Sedova

摘要:

研究了由五个离散相位振子组成的低维系综的动力学问题。讨论了随着系统维数的增加而出现的代替Arnold舌的双参数同步图像。在“频率耦合”参数平面上检测到Arnol'd共振网的出现。吸引和排斥相互作用的情况下进行了讨论。

英文摘要:

A dynamics of a low-dimensional ensemble consisting of connected in a network five discrete phase oscillators is considered. A two-parameter synchronization picture which appears instead of the Arnold tongues with an increase of the system dimension is discussed. An appearance of the Arnol'd resonance web is detected on the "frequency - coupling" parameter plane. The cases of attractive and repulsive interactions are discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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