19 citations · 44 across the 7 of their papers we have counts for
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nlin.PS2026
A theory for detecting the Turing instability on static and temporal multiplex networks
Joshua Ritchie
The purpose of this work is to introduce and discuss a general framework for performing a linear instability analysis on multiplex networks, in the absence of inter-layer diffusion…
nlin.PS2022★ 19 cited
Turing instability and pattern formation on directed networks
Joshua Ritchie
Pattern formation, arising from systems of autonomous reaction-diffusion equations, on networks has become a common topic of study in the scientific literature. In this work we foc…
nlin.PS2022★ 1 cited
Turing and wave instabilities in hyperbolic reaction-diffusion systems: The role of second-order time derivatives and cross-diffusion terms on pattern formation
Joshua Ritchie, Andrew L. Krause, Robert A. Van Gorder
Hyperbolic reaction-diffusion equations have recently attracted attention both for their application to a variety of biological and chemical phenomena, and for their distinct featu…