Density Evolution Under Delayed Dynamics by Jérôme Losson & Michael C. Mackey & Richard Taylor & Marta Tyran-Kamińska

Density Evolution Under Delayed Dynamics by Jérôme Losson & Michael C. Mackey & Richard Taylor & Marta Tyran-Kamińska

Author:Jérôme Losson & Michael C. Mackey & Richard Taylor & Marta Tyran-Kamińska
Language: eng
Format: epub
ISBN: 9781071610725
Publisher: Springer US


The moments of the measure are also given by the power series expansion of the characteristic functional as we next discuss.

5.2.3 Taylor Series Expansion of the Functional

The expression for the series expansion of a functional can be understood with the following argument. Let

be a function of k variables. The power series expansion of F is

where

Passing to a continuum in the following sense

we obtain the corresponding series expansion of a functional Ψ:

where

Ψ[y] is called the characteristic functional of the functions .

With these conventions, the expansion of the characteristic functional (5.35) is



Download



Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.