这本书讨论了它对现实世界系统建模的潜力，以及考虑它们的高阶组织如何导致新的动力学行为的出现。在过去几十年中，网络已经成为建模复杂系统的范例框架。然而，作为节点和链接的简单集合，它们本质上仅限于成对交互，限制了我们描述、理解和预测高阶交互产生的复杂现象的能力。在这里，我们介绍了高阶系统的新建模框架，其中超图和单纯形复合物用于描述任意数量的代理之间的复杂交互模式。这本书既是对这个迅速崛起的领域的第一次介绍，也是对其最新技术的概述，为那些对更好地模拟我们所生活的互联世界感兴趣的网络科学家提供参考。
Higher-Order Systems (Understanding Complex Systems)
This book discusses its potential to model real-world systems and how considering their higher-order organization can lead to the emergence of novel dynamical behavior. Over the last decades, networks have emerged as the paradigmatic framework to model complex systems. Yet, as simple collections of nodes and links, they are intrinsically limited to pairwise interactions, limiting our ability to describe, understand, and predict complex phenomena which arise from higher-order interactions. Here we introduce the new modeling framework of higher-order systems, where hypergraphs and simplicial complexes are used to describe complex patterns of interactions among any number of agents. This book is intended both as a first introduction and an overview of the state of the art of this rapidly emerging field, serving as a reference for network scientists interested in better modeling the interconnected world we live in.
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