586 citations · 1.7k across the 28 of their papers we have counts for
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patt-sol1994★ 127 cited
Complex Patterns in Reaction-Diffusion Systems: A Tale of Two Front Instabilities
Aric Hagberg, Ehud Meron
Two front instabilities in a reaction-diffusion system are shown to lead to the formation of complex patterns. The first is an instability to transverse modulations that drives the…
patt-sol1994★ 61 cited
Dynamic Front Transitions and Spiral-Vortex Nucleation
Christian Elphick, Aric Hagberg, Ehud Meron
This is a study of front dynamics in reaction diffusion systems near Nonequilibrium Ising-Bloch bifurcations. We find that the relation between front velocity and perturbative fact…
patt-sol1994★ 135 cited
From Labyrinthine Patterns to Spiral Turbulence
Aric Hagberg, Ehud Meron
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 in…