08/09/2024
The formation of patterns such as in sand dunes to animal bodies is the result of non-equilibrium self organization following Turing instability in spatio-temporal dynamical systems. Similar phenomenon is observed in complex networked dynamical systems as well, such as in social media networks. We show in our work that the conditions for Turing instability, as discussed in the literature, are not sufficient and that clustering plays an important role as well.
Moreover, analysis of the Laplacian eigenvector localization properties reveal distinct signatures in the hypergeometric metric space, that enable identifying the so called Turing patterns even in complex networks.
Read more about our work in our latest publication in Chaos: An interdisciplinary Journal of Nonlinear Science AIP Publishing, Vol 34, 093109, (2024). https://lnkd.in/gNfTzHNb
The lead author, Samana Pranesh just submitted her PhD thesis.
Devanand Jaiswal is a former postdoc.