Identifying network topologies that can generate turing pattern

MM Zheng, B Shao, Q Ouyang - Journal of theoretical biology, 2016 - Elsevier
… to generate Turing instability. We find that all 3-node networks that can achieve Turing pattern
… -inhibitor system is more robust for Turing pattern formation than the other one. Additional …

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
… We demonstrate that the Turing instability can be induced in any network topology by tuning
… altering network connectivity. The extent to which the emergent patterns reflect topological

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 …

Predictable topological sensitivity of Turing patterns on graphs

MT Hütt, D Armbruster, A Lesne - Physical Review E, 2022 - APS
… on networks have recently renewed the interest in their self-organized … patterns known as
Turing patterns. We investigate the influence of network topology on the emerging patterns and …

Key features of Turing systems are determined purely by network topology

X Diego, L Marcon, P Müller, J Sharpe - Physical Review X, 2018 - APS
Turing network topology, which proves why three key features of a Turing system are directly
determined by the topology: … -species models whose Turing patterning parameter space are …

Turing patterns in network-organized activator–inhibitor systems

H Nakao, AS Mikhailov - Nature Physics, 2010 - nature.com
networks were explicitly considered. Here we study Turing patterns in large random networks,
… The initial linear instability leads to spontaneous differentiation of the network nodes into …

Turing patterns on discrete topologies: from networks to higher-order structures

R Muolo, L Giambagli, H Nakao, D Fanelli… - arXiv preprint arXiv …, 2024 - arxiv.org
… This line of research has been mostly confined within the network science community, …
PDE-based approach to Turing patterns. Moreover, network topology allows for novel dynamics to …

A comprehensive network atlas reveals that Turing patterns are common but not robust

NS Scholes, D Schnoerr, M Isalan, MPH Stumpf - Cell systems, 2019 - cell.com
… factors determining a network’s pattern forming properties: the topology—the species and
… In this way, we systematically explore what proportion of network topologies are capable of …

The relationship between clustering and networked Turing patterns

X Luo, G Sun, R He, Z Jin, JKK Asamoah… - … Journal of Nonlinear …, 2024 - pubs.aip.org
… Studies have shown that network topology significantly affects the Turing pattern formation
in a networked reaction–diffusion (RD) system. Clustering is a common occurrence in nature, …

Complex network evolution model based on turing pattern dynamics

D Li, W Song, J Liu - IEEE Transactions on Pattern Analysis …, 2022 - ieeexplore.ieee.org
… Therefore, solving the problem of how communities form and evolve, can not only uncover
the evolution mechanism of network topology at a deeper level, but also help people un…