189 citations · 267 across the 7 of their papers we have counts for
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nlin.PS2014★ 35 cited
Turing instabilities from a limit cycle
Joseph D. Challenger, Raffaella Burioni, Duccio Fanelli
The Turing instability is a paradigmatic route to patterns formation in reaction-diffusion systems. Following a diffusion-driven instability, homogeneous fixed points can become un…
nlin.PS2014★ 189 cited
Topology-driven instabilities: the theory of pattern formation on directed networks
Malbor Asllani, Joseph D. Challenger, Francesco Saverio Pavone +2
The theory of pattern formation in reaction-diffusion systems is extended to the case of a directed network. Due to the structure of the network Laplacian of the scrutinised system…