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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Multifractality, stickiness, and recurrence-time statistics

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Author(s):
Vieira Abud, C. [1, 2] ; Egydio de Carvalho, R. [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, BR-05315970 Sao Paulo - Brazil
[2] Univ Estadual Paulista UNESP, BR-13506900 Rio Claro, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Physical Review E; v. 88, n. 4 OCT 29 2013.
Web of Science Citations: 11
Abstract

We identify the fine structure of resonance islands and the stickiness in chaos through recurrence time statistics (RTS), which is based on the concept of Poincar e recurrences. The projection of recurrence time statistics onto the phase space does give relevant information on the hierarchical andmicrostructures of the chaotic beach around the islands of a near-integrable system, the annular billiard. These microstructures interfere in the effective transport of a particle in the phase space, which can be observed through RTS. This technique proves also to be a powerful tool to describe the homoclinic tangle of the manifolds within the chaotic sea. (AU)

FAPESP's process: 10/20276-2 - Interference of robust tori in the dynamics of non-linear systems
Grantee:Ricardo Egydio de Carvalho
Support Opportunities: Regular Research Grants