Rainer Hegger Holger Kantz Thomas Schreiber
Exercise 3 using TISEAN Nonlinear Time Series Routines

Exercises using TISEAN
Part III: Time and length scales, structure, Poincare-maps, and surrogates

Download and use alternatingly the data sets amplitude.dat, arch.dat, and whatisit.dat

Visual inspection
Testing against non-stationarity Without further investigation we assume that the other two data sets are stationary. We will thus extract time averaged information. Nonetheless, it is recommended to always test against non-stationarity!

Time scales Answers to time scales problems

The Poincaré surface of section
Create different map-like series of amplitude.dat.
Surrogate data
Determine the nature of the data set whatisit.dat! Does it represent low-dimensional chaos?