Complex network evolution model based on turing pattern dynamics

D Li, W Song, J Liu - IEEE Transactions on Pattern Analysis …, 2022 - ieeexplore.ieee.org
… the fact that a network can be regarded as a pattern composed of communities, we introduce
Turing pattern dynamic as theory support to construct network evolution models. Specifically…

Emergence of geometric turing patterns in complex networks

J van der Kolk, G García-Pérez, NE Kouvaris… - Physical Review X, 2023 - APS
… We demonstrate that not only can geometric patterns be observed, their wavelength can also
… show that Turing patterns can be found in geometric embeddings of real networks. These …

Turing patterns in simplicial complexes

S Gao, L Chang, M Perc, Z Wang - Physical Review E, 2023 - APS
complex yields Turing patterns that fundamentally differ from patterns observed in traditional
networks… For example, we observe a stable distribution of Turing patterns where the fraction …

Turing patterns of Gierer–Meinhardt model on complex networks

L Guo, X Shi, J Cao - Nonlinear Dynamics, 2021 - Springer
… defined on discrete network structure is … Turing patterns of G–M model on complex networks.
By numerical simulations, Turing patterns of the G–M model on regular lattice networks and …

[HTML][HTML] Pattern formation on networks: from localised activity to Turing patterns

N McCullen, T Wagenknecht - Scientific reports, 2016 - nature.com
… As well as Turing patterns covering the whole spatial domain, spatially localised patterns have
also … In this research a reaction diffusion system on a complex network topology has been …

Turing patterns in a predator–prey model on complex networks

C Liu, L Chang, Y Huang, Z Wang - Nonlinear Dynamics, 2020 - Springer
… In recent years, Turing patterns have been shown to exist in RD processes occurring on
complex networks [18, 19], and been shown striking differences from the classical patterns

Turing patterns of an SI epidemic model with cross-diffusion on complex networks

M Duan, L Chang, Z Jin - Physica A: statistical mechanics and its …, 2019 - Elsevier
patterns of epidemic models with cross-diffusion on networks. In this paper, we study Turing
patterns … model on complex networks and explore the influences of network structure on …

Turing patterns mediated by network topology in homogeneous active systems

S Mimar, MM Juane, J Park, AP Munuzuri, G Ghoshal - Physical review E, 2019 - APS
… , Turing patterns have been shown to exist in reaction-diffusion processes occurring on complex
networks, … A small perturbation to the uniform state triggers the growth of Turing patterns

Turing patterns in multiplex networks

M Asllani, DM Busiello, T Carletti, D Fanelli… - Physical Review E, 2014 - APS
… system as a complex network. With … TURING INSTABILITY ON MONOLAYER NETWORKS
We begin the discussion by reviewing the theory of Turing patterns on a monolayer network

Theory of Turing patterns on time varying networks

J Petit, B Lauwens, D Fanelli, T Carletti - Physical review letters, 2017 - APS
… as complex heterogeneous networks. Elaborating on the mechanisms that instigate pattern
formation for reaction-diffusion systems hosted on small lattices or large complex networks