Robust tori-like Lagrangian coherent structures

Luis C. de Oliveira, Caroline G.L. Martins, M. Roberto, I.L. Caldas and R. Egydio de Carvalho

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 24, 6611-6616

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.

Keywords: Robust tori; Lagrangian coherent structures; Double-gyre flow; Nonlinearities (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:24:p:6611-6616

DOI: 10.1016/j.physa.2012.07.060

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