论文标题
从扩散复杂网络中的正弦探测器的系统尺寸鉴定
System Size Identification from Sinusoidal Probing in Diffusive Complex Networks
论文作者
论文摘要
复杂系统中最基本的特征之一是其大小（或体积），在许多建模中，它以其各个组件的数量表示。如今，正在调查的复杂系统通常很大和/或时间变化，从而使其识别挑战。我们在这里提出了一种准确有效的方法，以确定一个复杂的，扩散耦合的动力系统（即代理数量）的大小，该方法利用了系统对注入的探测信号的响应。为了使我们的方法适用，我们依靠一些对系统特性的假设，即，耦合图的谱系和其稳态的盆地稳定性。即使这样的假设暗示我们的方法不能应用于任何扩散耦合的动态剂的实例，但我们认为它涵盖了相关且有趣的示例。此外，该方法的简单性及其低计算复杂性使其适用的系统非常有趣。
One of the most fundamental characteristic of a complex system is its size (or volume), which, in many modelling, is represented by the number of its individual components. Complex systems under investigation nowadays are typically large and/or time-varying, rendering their identification challenging. We propose here an accurate and efficient method to determine the size of (i.e., number of agents in) a complex, diffusively coupled dynamical system, that leverages the response of the system to an injected probing signal. For our method to be applicable, we rely on some assumptions on system's characteristics, namely, on the spectrum of the coupling graph and on the basin stability of its steady state(s). Even though such assumptions imply that our method cannot be applied to any instance of diffusively coupled group of dynamical agents, we argue that it covers relevant and interesting examples. Furthermore, the simplicity of the approach and its low computational complexity renders it very interesting for the systems to which it applies.
