How Can We Describe Density Evolution Under Delayed Dynamics?

Abstract

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.

13 pages, 3 figures, minor changes of the previous version

Cited by in corpus (2)

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