| Abstract: |
| Difference equations of the form
\[ x_{n+1}=f(x_n, x_{n-1} , \hdots x_{n-k}) \]
assume that the system has a limited memory and is independent of time.
In this talk we will examine the behavior of difference equations of the form
\[ x_{n+1}=f(\bar {x_n}) \]
where $\bar{x_n}=\sum_{i=0}^{n} \omega (n,i) x_i$ is an averaged value of all previous values of $x_j$ and $\omega_{n,i}\ge 0} are appropriate weights. |
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