论文标题
复杂系统的持久性
Persistence in Complex Systems
论文作者
论文摘要
持久性是许多复杂系统在本质上的重要特征，与该系统在更改为其他状态之前保持在某个状态的时间有关。对复杂系统的持久性的研究涉及不同的定义，并使用不同的技术，具体取决于是否考虑了短期还是长期持久性。在本文中，我们讨论了关于复杂系统中持久性的最重要定义，概念，方法，文献和最新结果。首先，提出了短期和长期案例中持久性最常用的定义。在两种情况下，都讨论了表征持久性的最相关方法。还进行了完整的文献综述。我们还提出并讨论了有关持久性的一些相关结果，并在不同的详细案例研究中提供了绩效的经验证据，包括短期和长期持久性。对持久性未来的看法总结了这项工作。
Persistence is an important characteristic of many complex systems in nature, related to how long the system remains at a certain state before changing to a different one. The study of complex systems' persistence involves different definitions and uses different techniques, depending on whether short-term or long-term persistence is considered. In this paper we discuss the most important definitions, concepts, methods, literature and latest results on persistence in complex systems. Firstly, the most used definitions of persistence in short-term and long-term cases are presented. The most relevant methods to characterize persistence are then discussed in both cases. A complete literature review is also carried out. We also present and discuss some relevant results on persistence, and give empirical evidence of performance in different detailed case studies, for both short-term and long-term persistence. A perspective on the future of persistence concludes the work.
