Question: Consider the observation function formalism for deterministic dynamics from lectures. Let M be a d-dimensional manifold, f : M M be a diffeomorphism, and g

Consider the observation function formalism for deterministic dynamics from lectures. Let M be a d-dimensional manifold, f : M M be a diffeomorphism, and g : M R be an observation function. i) Explain in your own words why it is important that the delay map : M R2d+1 defined by (x) := (g(f2d(x)),...,g(f1(x)),g(x)) is a diffeomorphism from M to (M)

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