Delay embedding in the presence of dynamical noise

Autor: Muldoon, Mark, Broomhead, David, Huke, Jeremy, Hegger, Rainer
Zdroj: Dynamics and Stability of Systems; January 1998, Vol. 13 Issue: 2 p175-186, 12p
Abstrakt: We present a new embedding theorem for time series, in the spirit of Takens's theorem, but requiring multivariate signals. Our result is part of a growing body of work that extends the domain of geometric time series analysis to some genuinely stochastic systems-including such natural examples [image omitted]  where φ is some fixed map and the ηiare i.i.d. random displacements
Databáze: Supplemental Index