Phase shift in experimental trajectory scaling functions
Abstract
For one-dimensional maps the trajectory scaling function 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.
- Publication:
-
Physics Letters A
- Pub Date:
- May 1993
- DOI:
- 10.1016/0375-9601(93)90927-R
- arXiv:
- arXiv:chao-dyn/9303011
- Bibcode:
- 1993PhLA..176..327M
- Keywords:
-
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- CYCLER Paper 93mar008. LaTeX, LAUR-92-3053. Replaced with a version with all figures