Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Statistical properties for an open oval billiard: An investigation of the escaping basins

Full text
Author(s):
Hansen, Matheus [1] ; da Costa, Diogo Ricardo [2] ; Caldas, Ibere L. [1] ; Leonel, Edson D. [2]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Inst Fis, Rua Matao, Travessa R 187, Cidade Univ, BR-05314970 Sao Paulo, SP - Brazil
[2] Univ Estadual Paulista, UNESP, Dept Fis, Av 24A, 1515 Bela Vista, BR-13506900 Rio Claro, SP - Brazil
Total Affiliations: 2
Document type: Review article
Source: CHAOS SOLITONS & FRACTALS; v. 106, p. 355-362, JAN 2018.
Web of Science Citations: 1
Abstract

Statistical properties for recurrent and non recurrent escaping particles in an oval billiard with holes in the boundary are investigated. We determine where to place the holes and where to launch particles in order to maximize or minimize the escape measurement. Initially, we introduce a fixed hole in the billiard boundary, injecting particles through the hole and analyzing the survival probability of the particles inside of the billiard. We show there are preferential regions to observe the escape of particles. Next, with two holes in the boundary, we obtain the escape basins of the particles and show the influence of the stickiness and the small chains of islands along the phase space in the escape of particles. Finally, we discuss the relation between the escape basins boundary, the uncertainty about the boundary points, the fractal dimension of them and the so called Wada property that appears when three holes are introduced in the boundary. (c) 2017 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 17/14414-2 - Scaling investigation in dynamical systems
Grantee:Edson Denis Leonel
Support Opportunities: Regular Research Grants
FAPESP's process: 12/23688-5 - Exponents and scaling laws, phase transitions and transport properties of time dependent systems
Grantee:Edson Denis Leonel
Support Opportunities: Regular Research Grants
FAPESP's process: 13/22764-2 - Dynamical and transport properties in conservative and dissipative dynamical systems
Grantee:Diogo Ricardo da Costa
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 14/00334-9 - The 7th Chaotic Modeling & Simulation International Conference - CHAOS-2014
Grantee:Ricardo Egydio de Carvalho
Support Opportunities: Research Grants - Meeting - Abroad
FAPESP's process: 11/19296-1 - Nonlinear dynamics
Grantee:Iberê Luiz Caldas
Support Opportunities: Research Projects - Thematic Grants