Bell Matrices and Continuous Iteration

The purpose of this Mathematica notebook is to demonstrate that Schroeder polynomials produce results consistent with the work of Aldrovandi and Freitas [1]. The variables B, b, m, Z and the function R reflect their nomenclature from Continuous iteration of dynamical maps [1].
Limitations:
Only tested on Mathematica 4.1. Uses the Iterate.m file.

[1] R.Aldrovandi and L.P.Freitas, Continuous iteration of dynamical maps, J.Math.Phys.39,5324 (1998)
http://arxiv.org/abs/physics/9712026

[Graphics:Images/Bell Matrices and Continuous Iteration_gr_1.gif]
[Graphics:Images/Bell Matrices and Continuous Iteration_gr_2.gif]
[Graphics:Images/Bell Matrices and Continuous Iteration_gr_3.gif]
[Graphics:Images/Bell Matrices and Continuous Iteration_gr_4.gif]
[Graphics:Images/Bell Matrices and Continuous Iteration_gr_5.gif]


Converted by Mathematica      December 2, 2003