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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 11, issue 1
Nonlin. Processes Geophys., 11, 67-74, 2004
https://doi.org/10.5194/npg-11-67-2004
© Author(s) 2004. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Special issue: Dedicated to Prof. A. D. Kirwan Jr. on the occasion of his...

Nonlin. Processes Geophys., 11, 67-74, 2004
https://doi.org/10.5194/npg-11-67-2004
© Author(s) 2004. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  25 Feb 2004

25 Feb 2004

Passive tracer patchiness and particle trajectory stability in incompressible two-dimensional flows

F. J. Beron-Vera, M. J. Olascoaga, and M. G. Brown F. J. Beron-Vera et al.
  • RSMAS, University of Miami, Miami, Florida, USA

Abstract. Particle motion is considered in incompressible two-dimensional flows consisting of a steady background gyre on which an unsteady wave-like perturbation is superimposed. A dynamical systems point of view that exploits the action-angle formalism is adopted. It is argued and demonstrated numerically that for a large class of problems one expects to observe a mixed phase space, i.e. the occurrence of "regular islands" in an otherwise "chaotic sea". This leads to patchiness in the evolution of passive tracer distributions. Also, it is argued and demonstrated numerically that particle trajectory stability is largely controlled by the background flow: trajectory instability, quantified by various measures of the "degree of chaos", increases on average with increasing $leftvertmathrm{d}omega/mathrm{d}Irightvert$, where $omega (I)$ is the angular frequency of the trajectory in the background flow and I is the action.

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