13 citations · 23 across the 5 of their papers we have counts for
7 papers
Network Dynamics with Higher-Order Interactions: Coupled Cell Hypernetworks for Identical Cells and Synchrony
Manuela Aguiar, Christian Bick, Ana Dias
Network interactions that are nonlinear in the state of more than two nodes - also known as higher-order interactions - can have a profound impact on the collective network dynamic…
Synchrony in Gene Regulatory Networks
Manuela Aguiar, Ana Dias, Haibo Ruan
We consider two mathematical dynamical models of gene regulatory networks (GRNs) and obtain results on robust synchronization on these dynamical models based on the existing theore…
Synchrony and Anti-synchrony in Weighted Networks
Manuela Aguiar, Ana Dias
We consider weighted coupled cell networks, that is networks where the interactions between any two cells have an associated weight that is a real valued number. Weighted networks…
Steady-state bifurcations for three-cell networks with asymmetric inputs
Manuela Aguiar, Ana Dias, Pedro Soares
We consider homogeneous coupled cell networks with asymmetric inputs. We obtain general results concerning codimension-one steady-state bifurcations for networks with any number of…
Classification of Networks with Asymmetric Inputs
Manuela Aguiar, Ana Dias, Pedro Soares
Coupled cell systems associated with a coupled cell network are determined by (smooth) vector fields that are consistent with the network structure. Here, we follow the formalisms…
Quotients and lifts of symmetric directed graphs
Manuela Aguiar, Ana Dias, Miriam Manoel
Given a directed graph, an equivalence relation on the graph vertex set is said to be balanced if, for every two vertices in the same equivalence class, the number of directed edge…
Characterization of Fundamental Networks
Manuela A D Aguiar, Ana P S Dias, Pedro Soares
In the framework of coupled cell systems, a coupled cell network describes graphically the dynamical dependencies between individual dynamical systems, the cells. The fundamental n…