Synchronizing Chaos with Imperfections.

Synchronizing Chaos with Imperfections.
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DOI:
10.1103/physrevlett.126.164101
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发表时间:
2021-04
影响因子:
8.6
通讯作者:
Yoshiki Sugitani;Yuanzhao Zhang;A. Motter
Yoshiki Sugitani;Yuanzhao Zhang;A. Motter
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Yoshiki Sugitani;Yuanzhao Zhang;A. Motter

文献摘要

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以往对非线性振子网络的研究表明,对于相同的振子,混沌同步是可以实现的,但在参数失配的情况下会恶化。在这里,我们确定的制度,相反的情况下发生,并表明,振荡器的异质性可以同步混沌的条件下,相同的振荡器不能。这种效应并不限于小的失配,并且在均匀和异质网络结构上的随机振荡器异质性中观察到。实验结果表明,使用网络的蔡氏振荡器,并进一步支持数值模拟和理论分析。特别是,我们提出了一个一般的机制,基于异质性引起的模式混合,提供了深入了解所观察到的现象。由于个体差异在真实的系统中是普遍存在的,而且往往是不可避免的,因此这种不完美性可能是同步稳定性的意外来源。
Previous research on nonlinear oscillator networks has shown that chaos synchronization is attainable for identical oscillators but deteriorates in the presence of parameter mismatches. Here, we identify regimes for which the opposite occurs and show that oscillator heterogeneity can synchronize chaos for conditions under which identical oscillators cannot. This effect is not limited to small mismatches and is observed for random oscillator heterogeneity on both homogeneous and heterogeneous network structures. The results are demonstrated experimentally using networks of Chua's oscillators and are further supported by numerical simulations and theoretical analysis. In particular, we propose a general mechanism based on heterogeneity-induced mode mixing that provides insights into the observed phenomenon. Since individual differences are ubiquitous and often unavoidable in real systems, it follows that such imperfections can be an unexpected source of synchronization stability.