| Issue |
EPL
Volume 80, Number 4, November 2007
|
|
|---|---|---|
| Article Number | 40003 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/80/40003 | |
| Published online | 16 October 2007 | |
Return time statistics of extreme events in deterministic dynamical systems
1
Institut Royal Météorologique de Belgique - 3, Avenue Circulaire, 1180 Brussels, Belgium
2
Department of Zoology, University of Oxford - South Parks Road, OX1 3PS Oxford, UK
Received:
21
May
2007
Accepted:
14
September
2007
It is shown that deterministic dynamics leaves a clearcut signature on the statistical properties of the return time of extreme events, giving rise to properties that are not accounted for by the classical statistical approach. Analytical expressions are derived, compared to those of classical statistical theory and applied to generic examples of dynamical systems giving rise to quasi-periodic, strongly chaotic and intermittent chaotic behaviors.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 02.50.-r – Probability theory, stochastic processes, and statistics / 05.20.-y – Classical statistical mechanics
© Europhysics Letters Association, 2007
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