Detecting and analysing nonstationarity in a time series with nonlinear cross-predictions

Details Detecting and analysing nonstationarity in a time series with nonlinear cross-predictions Detecting and analysing nonstationarity in a time series with nonlinear cross-predictions

1999-09-30

arxiv.org/abs/chao-dyn/9909044v1

Phys. Rev. Lett. 78 (1997) 843

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.78.843

We propose an informal test for stationarity in a time series which checks for the compatibility of nonlinear approximations to the dynamics made in different segments of the sequence. The segments are compared directly, rather than via statistical parameters. The approach provides detailed information about episodes with similar dynamics during the measurement period. Thus physically relevant changes in the dynamics can be followed.

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