Browsing by Author "Karolyi, G."

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    Chaotic advection, diffusion, and reactions in open flows
    Tel, T.; Karolyi, G.; Pentek, A.; Scheuring, I.; Toroczkai, Z.; Grebogi, C.; Kadtke, J. (AIP Publishing, 2000-03)
    We review and generalize recent results on advection of particles in open time-periodic hydrodynamical flows. First, the problem of passive advection is considered, and its fractal and chaotic nature is pointed out. Next, we study the effect of weak molecular diffusion or randomness of the flow. Finally, we investigate the influence of passive advection on chemical or biological activity superimposed on open flows. The nondiffusive approach is shown to carry some features of a weak diffusion, due to the finiteness of the reaction range or reaction velocity. (C) 2000 American Institute of Physics. [S1054-1500(00)02001-2].
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    Coexistence of inertial competitors in chaotic flows
    Benczik, I. J.; Karolyi, G.; Scheuring, I.; Tel, T. (American Institute of Physics, 2006-12)
    We investigate the dynamics of inertial particles immersed in open chaotic flows. We consider the generic problem of competition between different species, e.g., phytoplankton populations in oceans. The strong influence from inertial effects is shown to result in the persistence of different species even in cases when the passively advected species cannot coexist. Multispecies coexistence in the ocean can be explained by the fact that the unstable manifold is different for each advected competitor of different size.