Numerical estimates of local dimension by waiting time and quantitative recurrence

Timoteo Carletti and Stefano Galatolo

Physica A: Statistical Mechanics and its Applications, 2006, vol. 364, issue C, 120-128

Abstract: Waiting time indicators are defined by measuring the time needed for a point x to approach a given point y. Our aim is to test the use of waiting time indicators, and quantitative recurrence ones to numerically estimate the local dimension of attractors in dynamical systems, as suggested by some rigorous results.

Keywords: Computational methods in statistical physics; Attractor; Dimension; Quantitative recurrence (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:364:y:2006:i:c:p:120-128

DOI: 10.1016/j.physa.2005.10.003

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