7 citations · 18 across the 5 of their papers we have counts for
6 papers
Invariant Sphere Theorem and Ring-Coupled Systems
Pedro Soares
In this work, we show how heteroclinic networks can arise in a simple class of network dynamical systems through the application of the Invariant Sphere Theorem. Ring-coupled syste…
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…
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…
Synchrony Branching Lemma for Regular Networks
Pedro Soares
Coupled cell systems are dynamical systems associated to a network and synchrony subspaces, given by balanced colorings of the network, are invariant subspaces for every coupled ce…
The Lifting Bifurcation Problem on Feed-Forward Networks
Pedro Soares
We consider feed-forward networks, that is, networks where cells can be divided into layers, such that every edge targeting a layer, excluding the first one, starts in the prior la…