Hidden symmetry in chains of biological coupled oscillators

Hidden symmetry in chains of biological coupled oscillators
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DOI:
10.1103/physrevlett.92.228102
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发表时间:
2004-06-04
影响因子:
8.6
通讯作者:
Fujii, T
Fujii, T
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Takamatsu, A;Tanaka, R;Fujii, T

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我们的实验研究的时空模式耦合生物振荡器的边界链,并发现隐藏的对称模式,不直接从明确的几何对称性的系统。我们提出了一个模型的耦合振子链与一个隐藏的振子连接其边界。该模型可以解释所有观察到的模式,包括隐藏的对称模式,而其他模型,如离散模拟连续系统中的诺依曼边界条件不能。
We experimentally investigated spatiotemporal patterns in chains of coupled biological oscillators with boundaries and found hidden symmetric patterns that are not straightforwardly derived from explicit geometrical symmetry of the systems. We propose a model of coupled oscillators in chains with a hidden oscillator interconnecting its boundaries. The model can explain all observed patterns including the hidden symmetric ones, while other models such as discrete analogs of Neumann boundary conditions in continuous systems cannot.