论文标题
随着时间延迟的复杂系统中的时空现象
Spatio-temporal phenomena in complex systems with time delays
论文作者
论文摘要
由于不可避免的有限信号传播速度，在自我耦合相互作用中发生的时间延迟可能会严重影响现实世界系统。当延迟变得显着长时间，出现复杂的高维现象，并且在低维动力系统中使用的方法的简单扩展是不可行的。我们回顾了在这种情况下开发的一般理论，描述了主要的不稳定机制，可视化工具的使用以及对最重要，最有效的动态指标及其在不同制度中的特性发表评论。我们展示了基于与时空系统的比较的合适方法如何代表披露长期延迟系统非常基本机制的强大工具。报告了来自不同模型的各种示例和一系列最近的实验。
Real-world systems can be strongly influenced by time delays occurring in self-coupling interactions, due to unavoidable finite signal propagation velocities. When the delays become significantly long, complicated high-dimensional phenomena appear and a simple extension of the methods employed in low-dimensional dynamical systems is not feasible. We review the general theory developed in this case, describing the main destabilization mechanisms, the use of visualization tools, and commenting on the most important and effective dynamical indicators as well as their properties in different regimes. We show how a suitable approach, based on a comparison with spatio-temporal systems, represents a powerful instrument for disclosing the very basic mechanism of long-delay systems. Various examples from different models and a series of recent experiments are reported.
