Experimental validation of simplicial complexes in multivariable coupled oscillators. Coupling: Lineal (Class III) vs NoLineal (Class II)

The data sets correspond to the experimental implementation of synchronization phenomenon in simplicial complexes. In this particular case, the simplicial complex consists of 3-node network, where each node is an electronic Rössler-like oscillator whose parameters were fixed to operate in chaotic regime. In simplicial complexes, it is possible to model two types of interactions among nodes: pair-wise interactions (linear interactions) and high-order interactions (non-linear interactions). The complete experiment consists of coupling simultaneously by means of linear and non-linear interactions the simplicial complex, the coupling occurs in state variables x (class III) and y (class II). The full data sets are organized in four Dataset (second), whose name explicitly indicates in which state variable occurs each coupling. In these case, Linearx-nonlineary means that the linear coupling occurs in variable x (class III) whereas the non-linear coupling occurs in variable y (class II). Now, each folder contains 10000 files which come from varying the linear coupling and the nonlinear coupling 100 times each one. The file name is composed as follows: rootname XX YY, where XX corresponds to the variation number in linear coupling, whereas YY corresponds to the variation number in non-linear coupling. Internally in each file we can find 6 columns and 30,000 rows. Each pair of columns corresponds to the x and y variables of each oscillator and the rows correspond to time-varying samples.

本数据集对应单纯复形（simplicial complexes）中同步现象的实验实现。本次研究的单纯复形由3节点网络构成，每个节点均为电子类罗斯勒振荡器（electronic Rössler-like oscillator），其参数设置为混沌运行模式。在单纯复形中，可对节点间的两类相互作用进行建模：两两相互作用（线性相互作用）与高阶相互作用（非线性相互作用）。本次完整实验通过线性与非线性相互作用同时对该单纯复形进行耦合，耦合作用施加于状态变量x（class III）与y（class II）。完整数据集共分为4个二级数据集，其名称明确标注了各类耦合作用对应的状态变量。例如，Linearx-nonlineary表示线性耦合作用施加于变量x（class III），而非线性耦合作用施加于变量y（class II）。每个二级数据集文件夹均包含10000个数据文件，这些文件由线性耦合强度与非线性耦合强度各进行100次参数微调后得到。数据文件的命名格式为rootname XX YY，其中XX代表线性耦合强度的微调序号，YY代表非线性耦合强度的微调序号。每个数据文件内部包含6列数据与30000行采样样本，每两列数据对应单个振荡器的x与y状态变量，行数据则代表随时间变化的采样点。