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四个环形耦合热声振荡器网络中的同步和嵌合体。 (英语) 兹伯利07488223

摘要:我们采用复杂系统方法实验研究了四个耦合在环中的自激热声振荡器网络的集体动力学。使用同步度量,我们发现了各种各样的突发多尺度行为,例如(i)从a(mathbb{T}上的间歇性频率锁定过渡^3)呼吸嵌合体的准周期吸引子,(ii)周期极限环上反相位同步的两簇态,以及(iii)弱反相位嵌合体。然后,我们计算递归网络的交叉传递性,以确定每个振荡器中热释放率(\(q^\prime_{\mathbb{X}}))和压力(\(p^\prime_{\mathbb{X}}))波动之间的耦合的主导方向,以及压力(\(p^\prime_{\mathbb{X}})和\(p^\prime_{\mathbb{Y})之间的耦合的主导方向}\))每对耦合振荡器的涨落。我们发现,非同振子网络表现出周向偏置(p^\prime_{mathbb{X}})-(p^\trime_{mathbb{Y}}。在这两种类型的网络中,我们发现(p^\prime{mathbb{X}})-(q^\prime{mathbb{X}{)耦合可以是对称的,也可以是不对称的,但不对称总是这样的,即(q^\ prime{mathbb{X}}。最后,我们通过聚类分析表明,在定义系统的集体动力学时,(p^\prime_{mathbb{X}})-(p^\trime_{mathbb{Y}}”)交互作用比(p^\ prime_})-\(q^\prime{mathbb{X}{)交互作用起着更关键的作用。除了对(p^prime_{mathbb{X}})-(p^prime_{mathbb{Y}}。特别是,我们在耦合热声振荡器的最小网络中首次证明了嵌合体状态,为基于嵌合体控制的振荡猝灭策略的应用铺平了道路。

MSC公司:

76倍 流体力学
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全文: 内政部

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此参考列表基于出版商或数字数学图书馆提供的信息。其项与zbMATH标识符进行启发式匹配,可能包含数据转换错误。在某些情况下,zbMATH Open的数据对这些数据进行了补充/增强。这试图尽可能准确地反映原始论文中列出的参考文献,而不要求完整或完全匹配。