  We confront existing definitions of chaos with the state of the art in
topological dynamics. The article does not propose any new definition of chaos
but, starting from several topological properties that can be reasonably called
chaotic, tries to sketch a theoretical view of chaos. Among the main ideas in
this article are the distinction between overall chaos and partial chaos, and
the fact that some dynamical properties may be considered more chaotic than
others.

Dynamical Systems