  We discuss Devaney chaos on compact metric spaces using a decomposition space
characterized by topological nature of symbolic dynamics. A chaotic map
obtained here is defined as a topologically conjugate of the chaotic map on a
decomposition space which is induced by a chaotic map of symbolic dynamics. In
particular, the chaotic character of the tent map and the baker map on [0,1]
are reconsidered based on decomposition dynamics involving symbolic dynamics
with different two chaotic maps. As an example of compact metric space we
exhibit a chaotic map existing on any given finite graph.
