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Synchronization of networks of chaotic oscillators: Structural and dynamical datasets

机译:混沌振荡器网络的同步:结构和动力学数据集

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We provide the topological structure of a series of N =28 R?ssler chaotic oscillators diffusively coupled through one of its variables. The dynamics of the y variable describing the evolution of the individual nodes of the network are given for a wide range of coupling strengths. Datasets capture the transition from the unsynchronized behavior to the synchronized one, as a function of the coupling strength between oscillators. The fact that both the underlying topology of the system and the dynamics of the nodes are given together makes this dataset a suitable candidate to evaluate the interplay between functional and structural networks and serve as a benchmark to quantify the ability of a given algorithm to extract the structural network of connections from the observation of the dynamics of the nodes. At the same time, it is possible to use the dataset to analyze the different dynamical properties (randomness, complexity, reproducibility, etc.) of an ensemble of oscillators as a function of the coupling strength.
机译:我们提供了一系列N = 28 R?ssler混沌振荡器的拓扑结构,这些振荡器通过其变量之一进行扩散耦合。 y变量的动力学描述了网络各个节点的演化,给出了广泛的耦合强度。数据集根据振荡器之间的耦合强度来捕获从不同步行为到同步行为的过渡。同时给出了系统的基础拓扑和节点的动力学,这一事实使该数据集成为评估功能和结构网络之间相互作用的合适候选者,并充当量化给定算法提取算法能力的基准。通过观察节点的动力学来建立连接的结构网络。同时,可以使用数据集来分析作为耦合强度函数的一组振荡器的不同动力学特性(随机性,复杂性,可再现性等)。

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