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Transient dynamics around unstable periodic orbits in the generalized repressilator model
Natalja Strelkowa, Mauricio Barahona
We study the spatio-temporal dynamics of the generalized repressilator, a system of coupled repressing genes arranged in a directed ring topology, and give analytical conditions fo…
Role-based similarity in directed networks
Kathryn Cooper, Mauricio Barahona
The widespread relevance of increasingly complex networks requires methods to extract meaningful coarse-grained representations of such systems. For undirected graphs, standard com…
Flow graphs: interweaving dynamics and structure
R. Lambiotte, R. Sinatra, J. -C. Delvenne +3
The behavior of complex systems is determined not only by the topological organization of their interconnections but also by the dynamical processes taking place among their consti…
Robustness of Random Graphs Based on Natural Connectivity
Jun Wu, Mauricio Barahona, Yuejin Tan +1
Recently, it has been proposed that the natural connectivity can be used to efficiently characterise the robustness of complex networks. Natural connectivity quantifies the redunda…