4 papers
Singular networks and ultrasensitive terminal behaviors
Alessio Franci, Bart Besselink, Arjan van der Schaft
Negative conductance elements are key to shape the input-output behavior at the terminals of a network through localized positive feedback amplification. The balance of positive an…
Bifurcation analysis of an opinion dynamics model coupled with an environmental dynamics
Anthony Couthures, Anastasia Bizyaeva, Vineeth S. Varma +2
We consider an opinion dynamics model coupled with an environmental dynamics. Based on a forward invariance argument, we can simplify the analysis of the asymptotic behavior to the…
Tunable Thresholds and Frequency Encoding in a Spiking NOD Controller
Ian Xul Belaustegui, Alessio Franci, Naomi Ehrich Leonard
Spiking Nonlinear Opinion Dynamics (S-NOD) is an excitable decision-making model inspired by the spiking dynamics of neurons. S-NOD enables the design of agile decision-making that…
Directional excitability in Hilbert spaces
Gustave Bainier, Alessio Franci
We introduce a generalized excitable system in which spikes can happen in a continuum of directions, therefore drastically enriching the expressivity and control capability of the…