Say that I will mostly use discrete dynamical systems.

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Sergiu Ivanov 2024-04-09 14:20:54 +02:00
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@ -550,6 +550,19 @@ reaching $s$. If $T = \mathbb{N}$, then the trajectory through $s$ is
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:
\begin{enumerate}
\item discrete time yields simpler formal systems, which can capture
a wider range of features before becoming too complex to comprehend,
\item discrete time is sufficient to represent the majority of
time-related concepts, e.g., event ordering, situating measurements
in time, etc.
\end{enumerate}
Last but not least, this choice is motivated by my own expertise as
a computer scientist lying in the field of discrete dynamical systems.
\printbibliography[heading=subbibliography]
\end{refsection}