摘要翻译:
在最近的一封信中,费舍尔等人。报道了时滞系统中动态继电保护实现零滞后远程等时同步的现象[Phys.Rev.Lett.bf 97,123902(2006)]。他们报告说,当一个有两个耦合系统A和C,它们之间有延迟时,那么在A和C之间引入第三个元素B将允许它们甚至在参数空间中没有B的存在就不可能同步。这里我们详细研究了这一现象,并在所有研究的情况下(包括Fisher等人报告的情况)验证了这一点这是由于A和B以及B和C处于反相位同步的趋势而发生的,如果A与B处于反相位而B与C处于反相位,这将意味着A和C是同相位的。我们在耦合二次映射、Kuramoto振子和R\“Ossler振子中证明了这一点,我们还报告了一种更简单的构型,在这种构型中发生了相同的现象,并且具有与Fisher等人研究的情况几乎相同的特征。
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英文标题:
《Properties of Zero-Lag Long-Range Synchronization via Dynamical Relaying》
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作者:
Maria de Sousa Vieira
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
In a recent letter, Fisher et al. reported the phenomenon of zero-lag long range isochronous synchronization via dynamical relaying in systems with delay [Phys. Rev. Lett. bf 97, 123902 (2006)]. They reported that when one has two coupled systems A and C, with delay between them, then the introduction of a third element B between A and C will allow them to synchronize even in regions of the parameter space where this was not possible without the presence of B. Here we study in detail the phenomenon and verify that in all the cases studied (including the ones reported by Fisher et al.) this occurs due to the tendency of A and B and B and C to be in antiphase synchronization and if A is in antiphase with B and B is in antiphase with C, it will imply that A and C are inphase. We show this in coupled quadratic maps, Kuramoto and R\"ossler oscillators. We also report that there is a simpler configuration where the same phenomenon occurs and has nearly the same features of the cases studied by Fisher et al.
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PDF链接:
https://arxiv.org/pdf/705.1807