Session LB: Chaos and Fractals I

3:35 PM–5:45 PM, Monday, November 23, 2009
Room: 101B

Chair: Mark Stremler, Virginia Polytechnic Institute and State University

Abstract ID: BAPS.2009.DFD.LB.10

Abstract: LB.00010 : Burning lobes in an advection-reaction-diffusion system

5:32 PM–5:45 PM

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  Delora Gaskins
    (Bucknell University)

  Tom Solomon
    (Bucknell University)

We use the tools developed for chaotic fluid transport to describe the propagation of a reaction front in a chain of oscillating vortices. Specifically, we expand the concept of lobes (turnstiles) bounded by stable and unstable manifolds to account for the propagation of a reaction front. A ``burning lobe'' is a passive lobe that grows due to the reactive medium. We propose that a reaction front will propagate from one vortex to the next in an oscillation period if a portion of the front was within the burning lobe. This framework is used to explain mode-locking of reaction fronts propagating in an oscillating vortex array.

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