论文标题
我们如何描述延迟动力学下的密度演化？
How Can We Describe Density Evolution Under Delayed Dynamics?
论文作者
论文摘要
尽管地图和普通微分方程中的密度演化理论良好，但在连续的时间系统中，情况远远不令人满意。本文回顾了一些在数值上完成的工作以及出现的有趣动态，以及在分析差分延迟方程中分析处理密度的演变的很大程度上不成功的尝试。我们还为问题提供了一种新的方法，并以一个简单的示例来说明它。
Although the theory of density evolution in maps and ordinary differential equations is well developed, the situation is far from satisfactory in continuous time systems with delay. This paper reviews some of the work that has been done numerically and the interesting dynamics that have emerged, and the largely unsuccessful attempts that have been made to analytically treat the evolution of densities in differential delay equations. We also present a new approach to the problem and illustrate it with a simple example.
