Phase shift in experimental trajectory scaling functions

Details Phase shift in experimental trajectory scaling functions Phase shift in experimental trajectory scaling functions

1993-03-10

arxiv.org/abs/chao-dyn/9303011v2

Nonlinear Sciences

Chaotic Dynamics

CYCLER Paper 93mar008. LaTeX, LAUR-92-3053. Replaced with a version with all figures

Scientific paper

10.1016/0375-9601(93)90927-R

For one dimensional maps the trajectory scaling functions is invariant under coordinate transformations and can be used to compute any ergodic average. It is the most stringent test between theory and experiment, but so far it has proven difficult to extract from experimental data. It is shown that the main difficulty is a dephasing of the experimental orbit which can be corrected by reconstructing the dynamics from several time series. From the reconstructed dynamics the scaling function can be accurately extracted.

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