FRACTAL AND STATISTICAL CHARACTERISTICS OF RECURRENCE TIMES

Authors
PENNE V SAUSSOL B VAIENTI S
Citation
V. Penne et al., FRACTAL AND STATISTICAL CHARACTERISTICS OF RECURRENCE TIMES, Journal de physique. IV, 8(P6), 1998, pp. 163-171
Citations number
25
Categorie Soggetti
Physics
Journal title
Journal de physique. IV → ACNP
ISSN journal
11554339
Volume
8
Issue
P6
Year of publication
1998
Pages
163 - 171
Database
ISI
SICI code
1155-4339(1998)8:P6<163:FASCOR>2.0.ZU;2-B
Abstract
In this paper we introduce and discuss two proprieties related to recu rrences in dynamical systems. The first gives the asymptotic law for t he return time in a neighborhood of a point, while the second gives a topological index of fractal type to characterize the system or some r egions of the system.