如何描述延迟动力学下的密度演化?
How Can We Describe Density Evolution Under Delayed Dynamics?
摘要:
虽然映射和常微分方程中的密度演化理论已经发展得很好,但在具有时滞的连续时间系统中的情况还远远不能令人满意。本文回顾了一些已经完成的工作,数值和有趣的动力学已经出现,并在很大程度上不成功的尝试,已经作出了分析处理密度的演化微分延迟方程。我们还提出了一个新的方法来解决这个问题,并说明它与一个简单的例子。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。