理想分形树中的频率聚类与分解
Frequency clustering and disaggregation in idealized fractal tree
摘要：
通过数值模拟和分析，揭示了理想合轴二歧聚伞花序中共振频率簇的形成模式。较大的集群的基数与共享相同邻接矩阵的小世界网络的基数相关。结构的拓扑和固有对称性决定了模态特性的划分和对肢体几何形状扰动的鲁棒性，并且不限于特定的异速生长。当分支几何的空间对称性被扰动到一定程度以上时，我们看到最大的簇的渗流。
英文摘要：
The pattern of formation of resonant frequency clusters in idealized sympodial dichasium trees is revealed by numerical modeling and analysis. The larger cluster's cardinality correlates with that of a Small World Network, which share the same adjacency matrix. Topology and inherent symmetry of the structure dictate compartmentalization of the modal characteristics and robustness to perturbations to the limb geometry, and are not limited to a specific allometry. When the spatial symmetry of the limb geometry is perturbed above a certain level, we see percolation of the largest cluster.
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。
