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Robust tori-like Lagrangian coherent structures


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


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.

Suggested Citation

  • de Oliveira, Luis C. & Martins, Caroline G.L. & Roberto, M. & Caldas, I.L. & Egydio de Carvalho, R., 2012. "Robust tori-like Lagrangian coherent structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6611-6616.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:24:p:6611-6616
    DOI: 10.1016/j.physa.2012.07.060

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