  The hallmark of deterministic chaos is that it creates information---the rate
being given by the Kolmogorov-Sinai metric entropy. Since its introduction half
a century ago, the metric entropy has been used as a unitary quantity to
measure a system's intrinsic unpredictability. Here, we show that it naturally
decomposes into two structurally meaningful components: A portion of the
created information---the ephemeral information---is forgotten and a
portion---the bound information---is remembered. The bound information is a new
kind of intrinsic computation that differs fundamentally from information
creation: it measures the rate of active information storage. We show that it
can be directly and accurately calculated via symbolic dynamics, revealing a
hitherto unknown richness in how dynamical systems compute.
