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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.)

Diffusion entropy analysis in billiard systems

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Author(s):
Diaz, I, Gabriel ; Palmero, Matheus S. [1] ; Caldas, Ibere Luiz [1] ; Leonel, Edson D. [2]
Total Authors: 4
Affiliation:
[1] Diaz, Gabriel, I, Univ Sao Paulo, IFUSP, Inst Fis, Rua Matao, Cidade Univ, BR-05314970 Sao Paulo, SP - Brazil
[2] Univ Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Physical Review E; v. 100, n. 4 OCT 7 2019.
Web of Science Citations: 0
Abstract

In this work we investigate how the behavior of the Shannon entropy can be used to measure the diffusion exponent of a set of initial conditions in two systems: (i) standard map and (ii) the oval billiard. We are interested in the diffusion near the main island in the phase space, where stickiness is observed. We calculate the diffusion exponent for many values of the nonlinear parameter of the standard map where the size and shape of the main island change as the parameter varies. We show that the changes of behavior in the diffusion exponent are related with the changes in the area of the main island and show that when the area of the main island is abruptly reduced, due to the destruction of invariant tori and, consequently, creation of hyperbolic and elliptic fixed points, the diffusion exponent grows. (AU)

FAPESP's process: 18/03211-6 - Non linear dynamics
Grantee:Iberê Luiz Caldas
Support type: Research Projects - Thematic Grants
FAPESP's process: 17/14414-2 - Scaling investigation in dynamical systems
Grantee:Edson Denis Leonel
Support type: Regular Research Grants
FAPESP's process: 18/03000-5 - Chaotic transport in symplectic maps: Applications in plasma
Grantee:Matheus Palmero Silva
Support type: Scholarships in Brazil - Doctorate