We study a system whose dynamics are governed by predictions of its future
states. A general formalism and concrete examples are presented. We find that
the dynamical characteristics depend on how to shape the predictions as well as
on how far ahead in time to make them. We also report that noise can induce
oscillatory behavior, which we call "predictive stochastic resonance".Comment: Presented and To appear in the Proc. of 9th Granada Seminar,
(Granada, Spain, September 11-15, 2006
