2026-04-17T19:01:53Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1797732025-12-04T20:42:45Zcom_2072_1057col_2072_478822col_2072_478917

00925njm 22002777a 4500 dc Clusella, Pau author Miguel López, María del Carmen author Pastor Satorras, Romualdo author 2021-08-30T12:05:19Z 2021-08-30T12:05:19Z 2021-01-26 2021-08-30T12:05:19Z Systems composed of reactive particles diffusing in a network display emergent dynamics. While Fick's diffusion can lead to Turing patterns, other diffusion schemes might display more complex phenomena. Here we study the death and restoration of collective oscillations in networks of oscillators coupled by random-walk diffusion, which modifies both the original unstable fixed point and the stable limit-cycle, making them topology-dependent. By means of numerical simulations we show that, in some cases, the diffusion-induced heterogeneity stabilizes the initially unstable fixed point via a Hopf bifurcation. Further increasing the coupling strength can moreover restore the oscillations. A numerical stability analysis indicates that this phenomenology corresponds to a case of amplitude death, where the inhomogeneous stabilized solution arises from the interplay of random walk diffusion and heterogeneous topology. Our results are relevant in the fields of epidemic spreading or ecological dispersion, where random walk diffusion is more prevalent. Rutes aleatòries (Matemàtica) Xarxes (Matemàtica) Random walks (Mathematics) Nets (Mathematics) Amplitude death and restoration in networks of oscillators with random-walk diffusion