no code implementations • 11 Aug 2021 • Lyudmila Grigoryeva, Allen Hart, Juan-Pablo Ortega
This paper shows that the celebrated Embedding Theorem of Takens is a particular case of a much more general statement according to which, randomly generated linear state-space representations of generic observations of an invertible dynamical system carry in their wake an embedding of the phase space dynamics into the chosen Euclidean state space.