Plateau onset for correlation dimension: When does it occur?
Physical Review Letters, ISSN: 0031-9007, Vol: 70, Issue: 25, Page: 3872-3875
1993
- 172Citations
- 46Captures
Metric Options: CountsSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Citations172
- Citation Indexes172
- 172
- CrossRef139
- Captures46
- Readers46
- 46
Article Description
Chaotic experimental systems are often investigated using delay coordinates. Estimated values of the correlation dimension in delay coordinate space typically increase with the number of delays and eventually reach a plateau (on which the dimension estimate is relatively constant) whose value is commonly taken as an estimate of the correlation dimension D2 of the underlying chaotic attractor. We report a rigorous result which implies that, for long enough data sets, the plateau begins when the number of delay coordinates first exceeds D2. Numerical experiments are presented. We also discuss how lack of sufficient data can produce results that seem to be inconsistent with the theoretical prediction. © 1993 The American Physical Society.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0000822478&origin=inward; http://dx.doi.org/10.1103/physrevlett.70.3872; http://www.ncbi.nlm.nih.gov/pubmed/10053987; https://link.aps.org/doi/10.1103/PhysRevLett.70.3872; http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevLett.70.3872/fulltext; http://link.aps.org/article/10.1103/PhysRevLett.70.3872
American Physical Society (APS)
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know