6 citations · 6 across the 7 of their papers we have counts for
6 papers · 1 filter
Classification of 3-Node Restricted Excitatory-Inhibitory Networks
Manuela Aguiar, Ana Dias, Ian Stewart
We classify connected 3-node restricted excitatory-inhibitory networks, extending our previous paper (`Classification of 2-node Excitatory-Inhibitory Networks', Mathematical Biosci…
Hopf Bifurcation in Asymmetric Ring Networks: Constraints on Phase Shifts
Ian Stewart
Hopf bifurcation in networks of coupled ODEs creates periodic states in which the relative phases of nodes are well defined near bifurcation. When the network is a fully inhomogene…
Hopf Bifurcation and Phase Patterns in Symmetric Ring Networks
Ian Stewart
Systems of ODEs coupled with the topology of a closed ring are common models in biology, robotics, electrical engineering, and many other areas of science. When the component syste…
Classification of 2-node Excitatory-Inhibitory Networks
Manuela Aguiar, Ana Dias, Ian Stewart
We classify connected 2-node excitatory-inhibitory networks under various conditions. We assume that, as well as for connections, there are two distinct node-types, excitatory and…
Breaking indecision in multi-agent, multi-option dynamics
Alessio Franci, Martin Golubitsky, Ian Stewart +2
How does a group of agents break indecision when deciding about options with qualities that are hard to distinguish? Biological and artificial multi-agent systems, from honeybees a…
Overdetermined ODEs and Rigid Periodic States in Network Dynamics
Ian Stewart
We consider four long-standing Rigidity Conjectures about synchrony and phase patterns for hyperbolic periodic orbits of admissible ODEs for networks. Proofs of stronger local vers…