211 citations · 255 across the 6 of their papers we have counts for
3 papers · 1 filter
Detecting Determinism in High Dimensional Chaotic Systems
Guillermo Ortega, Cristian Degli Esposti Boschi, Enrique Louis
A method based upon the statistical evaluation of the differentiability of the measure along the trajectory is used to identify in high dimensional systems. The results show that t…
Discriminating dynamical from additive noise in the Van der Pol oscillator
Cristian Degli Esposti Boschi, Guillermo Ortega, Enrique Louis
We address the distinction between dynamical and additive noise in time series analysis by making a joint evaluation of both the statistical continuity of the series and the statis…
Using Topological Statistics to Detect Determinism in Time Series
Guillermo J. Ortega, Enrique Louis
Statistical differentiability of the measure along the reconstructed trajectory is a good candidate to quantify determinism in time series. The procedure is based upon a formula th…