We propose and study a system whose dynamics are governed by predictions of its future states. General formalism and concrete examples are presented. We find that the dynamical characteristics depend on both how to shape predictions as well as how far ahead in time to make them. Comparisons of these predictive dynamical models and corresponding delayed dynamical models are discussed.

Predictive dynamical systems have dynamical characteristics influenced by shaping predictions and how far in time they are made.

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Predictive Dynamical Systems

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