  In Physics, we have laws that determine the time evolution of a given
physical system, depending on its parameters and its initial conditions. When
we have multi-stable systems, many attractors coexist so that their basins of
attraction might possess fractal or even Wada boundaries in such a way that the
prediction becomes more complicated depending on the initial conditions.
Chaotic systems typically present fractal basins in phase space. A small
uncertainty in the initial conditions gives rise to a certain unpredictability
of the final state behavior. The new notion of basin entropy provides a new
quantitative way to measure the unpredictability of the final states in basins
of attraction. Simple methods from chaos theory can contribute to a better
understanding of fundamental questions in physics as well as other scientific
disciplines.
