Say that I will use DDS with T = N.

I don't want to mess with negative time and whatever that may imply.
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Sergiu Ivanov 2024-04-12 14:50:46 +02:00
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@ -551,8 +551,9 @@ the iteration of $F$: $\{F^k(s) \mid k \in \mathbb{N}\}$, where
$F^0(s) = s$, $F^1(s) = F(s)$, $F^2(s) = F(F(s))$, etc.
While I will give most of the general definitions for abstract
dynamical systems, I will rely on discrete-time dynamical systems
later on in the manuscript, for the following reasons:
dynamical systems, I will rely on discrete-time dynamical systems with
$T = \mathbb{N}$ later on in the manuscript, for the following
reasons:
\begin{enumerate}
\item discrete time yields simpler formal systems, which can capture
a wider range of features before becoming too complex to comprehend,