  Temporal logics are an obvious high-level descriptive companion formalism to
dynamical systems which model behavior as deterministic evolution of state over
time. A wide variety of distinct temporal logics applicable to dynamical
systems exists, and each candidate has its own pragmatic justification. Here, a
systematic approach to the construction of temporal logics for dynamical
systems is proposed: Firstly, it is noted that dynamical systems can be seen as
coalgebras in various ways. Secondly, a straightforward standard construction
of modal logics out of coalgebras, namely Moss's coalgebraic logic, is applied.
Lastly, the resulting systems are characterized with respect to the temporal
properties they express.
