Seminar: Chaos or Noise, Difficulties of a Distinction
Speaker: Angelo Vulpiani (Department of Physics, University Sapienza, Rome, Italy)
Title: Chaos or Noise, Difficulties of a Distinction
Abstract: In experiments, the dynamical behaviour of systems is reflected in time series. Due to the finiteness of the observational data set it is not possible to reconstruct the invariant measure up to arbitrary fine resolution and arbitrary high embedding dimension. These restrictions limit our ability to distinguish between signals generated by different systems, such as regular, chaotic or stochastic ones, when analysed from a time series point of view. We propose to classify the signal behaviour, without referring to any specific model, as stochastic or deterministic on a certain scale of the resolution according to the dependence of the finite size entropy, and of the finite size Lyapunov exponent.