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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.)

Robust tori-like Lagrangian coherent structures

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de Oliveira, Luis C. [1] ; Martins, Caroline G. L. [1] ; Roberto, M. [1] ; Caldas, I. L. [2] ; Egydio de Carvalho, R. [3]
Total Authors: 5
[1] Inst Tecnol Aeronaut ITA, BR-12228900 Sao Jose Dos Campos, SP - Brazil
[2] Univ Sao Paulo, BR-05315970 Sao Paulo - Brazil
[3] Univ Estadual Paulista UNESP, IGCE DEMAC, BR-13506900 Rio Claro, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 391, n. 24, p. 6611-6616, DEC 15 2012.
Web of Science Citations: 1

In general the term ``Lagrangian coherent structure{''} (LCS) is used to make reference about structures whose properties are similar to a time-dependent analog of stable and unstable manifolds from a hyperbolic fixed point in Hamiltonian systems. Recently, the term LCS was used to describe a different type of structure, whose properties are similar to those of invariant tori in certain classes of two-dimensional incompressible flows. A new kind of LCS was obtained. It consists of barriers, called robust tori that block the trajectories in certain regions of the phase space. We used the Double-Gyre Flow system as the model. In this system, the robust tori play the role of a skeleton for the dynamics and block, horizontally, vortices that come from different parts of the phase space. (C) 2012 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 10/20276-2 - Interference of robust tori in the dynamics of non-linear systems
Grantee:Ricardo Egydio de Carvalho
Support type: Regular Research Grants
FAPESP's process: 10/16666-0 - Transport of magnetic field lines and particles in tokamaks
Grantee:Marisa Roberto
Support type: Regular Research Grants