Robust tori-like Lagrangian coherent structures |
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Authors: | Luis C. de Oliveira Caroline G.L. Martins M. Roberto I.L. Caldas R. Egydio de Carvalho |
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Affiliation: | 1. Instituto Tecnológico da Aeronáutica-ITA, 12228-900 São José dos Campos, SP, Brazil;2. Universidade de São Paulo-USP, 05315-970 São Paulo, SP, Brazil;3. Universidade Estadual Paulista-UNESP, 13506-900 Rio Claro, SP, Brazil |
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Abstract: | 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. |
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Keywords: | Robust tori Lagrangian coherent structures Double-gyre flow Nonlinearities |
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