Topological dynamics is a field that investigates the qualitative behaviour of dynamical systems on topological spaces, with particular interest in properties such as recurrence, transitivity, and ...

Topological entropy provides a rigorous framework for quantifying the complexity inherent in dynamical systems. It measures the exponential rate at which distinct orbits separate over time, thereby ...

This is a preview. Log in through your library . Abstract There exist $(C_0)$ semigroups $T_1(t), T_2(t)$ on Hilbert space with the following properties: $T_1$ has a ...