FROM LABYRITHINE PATTERNS TO SPIRAL TURBULENCE
Aric Hagberg 1,
and Ehud Meron 2
1 Program in Applied Mathematics, University of Arizona, Tucson, AZ 85721
2 Department of Mathematics and ACMS, University of Arizona, Tucson, AZ 85721
Published in Physical Review Letters, Volume 72, Number 15, 11 April 1994
A new mechanism for spiral vortex nucleation in nongradient reaction
diffusion systems is proposed. It involves two key ingredients: An
Ising-Bloch type front bifurcation and an instability of a planar front
to transverse perturbations. Vortex nucleation by this mechanism plays
an important role in inducing a transition from labyrinthine patterns to
spiral turbulence.
PACS numbers: 05.45.+b, 82.20.Mj
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Aric Hagberg <aric@lanl.gov>
Last modified: Wed Dec 17 11:23:23 MST 1997
