Volume 80, Number 4, November 2007
|Number of page(s)||6|
|Published online||16 October 2007|
Return time statistics of extreme events in deterministic dynamical systems
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
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.