| Autor: |
Baptista MS; Institute for Complex Systems and Mathematical Biology, King's College, University of Aberdeen, AB24 3UE Aberdeen, United Kingdom., Maranhão DM, Sartorelli JC |
| Jazyk: |
angličtina |
| Zdroj: |
Chaos (Woodbury, N.Y.) [Chaos] 2009 Dec; Vol. 19 (4), pp. 043115. |
| DOI: |
10.1063/1.3263943 |
| Abstrakt: |
We show a function that fits well the probability density of return times between two consecutive visits of a chaotic trajectory to finite size regions in phase space. It deviates from the exponential statistics by a small power-law term, a term that represents the deterministic manifestation of the dynamics. We also show how one can quickly and easily estimate the Kolmogorov-Sinai entropy and the short-term correlation function by realizing observations of high probable returns. Our analyses are performed numerically in the Henon map and experimentally in a Chua's circuit. Finally, we discuss how our approach can be used to treat the data coming from experimental complex systems and for technological applications. |
| Databáze: |
MEDLINE |
| Externí odkaz: |
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