
The goal of this work is to investigate to what extent Takens theorem remains valid in the space of forced systems and their observation functions. It is shown that apart from minor restrictions on the forcing system \(g\), one can prove an exact analogue of Takens theorem relevant to this case. Moreover, the author proves a second version of this theorem that is more appropriate to situations where we know the state \(z\) of the forcing system.
observation functions, random dynamical system, Time series analysis of dynamical systems, Takens theorem, deterministic forcing, forced systems
observation functions, random dynamical system, Time series analysis of dynamical systems, Takens theorem, deterministic forcing, forced systems
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