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arXiv 0705.1993nlin.PSnlin.CD
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混沌模式的网络结构

Network structure of chaotic patterns

Kapilanjan Krishan

摘要:

我们减少了复杂的剥离模式的边缘和顶点的基本拓扑网络定义缺陷和衡量他们对模式的影响。在Rayleigh Benard对流实验中,我们统计了螺旋缺陷混沌态中缺陷的时空分布。这些措施的作用,边界的动态影响,并建议在模式中的边缘长度的指数分布。我们还指出了一个系统的方法来研究层次结构的缺陷相互作用的网络结构的基础上。

英文摘要:

We reduce complex stripped patterns to a basic topological network of edges and vertices to define defects and measure their influence on the pattern. We present statistics on the spatial and temporal distribution of defects within the state of spiral defect chaos state in experiments on Rayleigh Benard convection. These measure the role of boundary influence on the dynamics, and suggest an exponential distribution for the length of edges in the pattern. We also indicate a systematic method to study hierarchies of defect interactions based on the network structure.

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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