189 citations · 267 across the 7 of their papers we have counts for
3 papers · 1 filter
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…
Intrinsic noise and two-dimensional maps: Quasicycles, quasiperiodicity, and chaos
César Parra-Rojas, Joseph D. Challenger, Duccio Fanelli +1
We develop a formalism to describe the discrete-time dynamics of systems containing an arbitrary number of interacting species. The individual-based model, which forms our starting…
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…