activity
20112024
most citedNonlinear Opinion Dynamics with Tunable Sensitivity

113 citations · 292 across the 31 of their papers we have counts for

collaborators

36 papers

q-bio.NC2024★ 5 cited

Dimensionality reduction of neuronal degeneracy reveals two interfering physiological mechanisms

Arthur Fyon, Alessio Franci, Pierre Sacré +1

Neuronal systems maintain stable functions despite large variability in their physiological components. Ion channel expression, in particular, is highly variable in neurons exhibit…

eess.SY2024★ 13 cited

Neuromorphic Control of a Pendulum

Raphael Schmetterling, Fulvio Forni, Alessio Franci +1

We illustrate the potential of neuromorphic control on the simple mechanical model of a pendulum, with both event-based actuation and sensing. The controller and the pendulum are r…

physics.soc-ph2023★ 2 cited

Multi-topic belief formation through bifurcations over signed social networks

Anastasia Bizyaeva, Alessio Franci, Naomi Ehrich Leonard

We propose and analyze a nonlinear dynamic model of continuous-time multi-dimensional belief formation over signed social networks. Our model accounts for the effects of a structur…

math.OC2022★ 1 cited

Sustained oscillations in multi-topic belief dynamics over signed networks

Anastasia Bizyaeva, Alessio Franci, Naomi Ehrich Leonard

We study the dynamics of belief formation on multiple interconnected topics in networks of agents with a shared belief system. We establish sufficient conditions and necessary cond…

math.DS2022

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…

math.OC2022

Control of Multistability through Local Sensitivity Analysis: Application to Cellular Decision-making Networks

Rodrigo Moreno-Morton, Alessio Franci

Control of multistable dynamical system has important applications, from physics to biology. Here, we attack this problem from the perspective of local sensitivity analysis. We dev…

math.OC2022★ 13 cited

Switching transformations for decentralized control of opinion patterns in signed networks: application to dynamic task allocation

Anastasia Bizyaeva, Giovanna Amorim, Maria Santos +2

We propose a new decentralized design method to control opinion patterns on signed networks of agents making decisions about two options and to switch the network from any opinion…

q-bio.QM2021

The correlated variability control problem: a dominant approach

Marcela Ordorica Arango, Alessio Franci

Given a population of interconnected input-output agents repeatedly exposed to independent random inputs, we talk of correlated variability when agents' outputs are variable (i.e.,…

nlin.CD2021

In-phase oscillations from the cooperation of cellular and network positive feedback in synaptically-coupled oscillators

Omar Juarez-Alvarez, Alessio Franci

We study the emergent dynamics of a network of synaptically coupled slow-fast oscillators. Synaptic coupling provides a network-level positive feedback mechanism that cooperates wi…

eess.SY2021

Equivalence of Linear Complementarity Problems: Theory and Application to Nonsmooth Bifurcations

Felix Miranda-Villatoro, Fernando Castaños, Alessio Franci

Linear complementarity problems provide a powerful framework to model nonsmooth phenomena in a variety of real-world applications. In dynamical control systems, they appear coupled…

physics.soc-ph2021

Tuning Cooperative Behavior in Games with Nonlinear Opinion Dynamics

Shinkyu Park, Anastasia Bizyaeva, Mari Kawakatsu +2

We examine the tuning of cooperative behavior in repeated multi-agent games using an analytically tractable, continuous-time, nonlinear model of opinion dynamics. Each modeled agen…

math.OC2021

Feedback design of spatially-distributed filters with tunable resolution

Alessio Franci

We derive gain-tuning rules for the positive and negative spatial-feedback loops of a spatially-distributed filter to change the resolution of its spatial band-pass characteristic…

math.OC2021★ 9 cited

Control of Agreement and Disagreement Cascades with Distributed Inputs

Anastasia Bizyaeva, Timothy Sorochkin, Alessio Franci +1

For a group of autonomous communicating agents, the ability to distinguish a meaningful input from disturbance, and come to collective agreement or disagreement in response to that…

physics.soc-ph2021★ 28 cited

Analysis and control of agreement and disagreement opinion cascades

Alessio Franci, Anastasia Bizyaeva, Shinkyu Park +1

We introduce and analyze a continuous time and state-space model of opinion cascades on networks of large numbers of agents that form opinions about two or more options. By leverag…

math.OC2020★ 10 cited

Patterns of Nonlinear Opinion Formation on Networks

Anastasia Bizyaeva, Ayanna Matthews, Alessio Franci +1

When communicating agents form opinions about a set of possible options, agreement and disagreement are both possible outcomes. Depending on the context, either can be desirable or…

math.OC2020★ 113 cited

Nonlinear Opinion Dynamics with Tunable Sensitivity

Anastasia Bizyaeva, Alessio Franci, Naomi Ehrich Leonard

We propose a continuous-time multi-option nonlinear generalization of classical linear weighted-average opinion dynamics. Nonlinearity is introduced by saturating opinion exchanges…

math.DS2019★ 2 cited

A notion of equivalence for linear complementarity problems with application to the design of non-smooth bifurcations

Fernando Castaños, Félix Miranda-Villatoro, Alessio Franci

Many systems of interest to control engineering can be modeled by linear complementarity problems. We introduce a new notion of equivalence between linear complementarity problems…

math.OC2019

A model-independent theory of consensus and dissensus decision making

Alessio Franci, Martin Golubitsky, Anastasia Bizyaeva +1

We develop a model-independent framework to study the dynamics of decision-making in opinion networks for an arbitrary number of agents and an arbitrary number of options. Model-in…

physics.soc-ph2018★ 9 cited

Social decision-making driven by artistic explore-exploit tension

Kayhan Ozcimder, Biswadip Dey, Alessio Franci +3

We studied social decision-making in the rule-based improvisational dance , where dancers make in-the-moment compositional choices. Rehearsals provided…

q-bio.NC2018

Cellular switches orchestrate rhythmic circuits

Guillaume Drion, Alessio Franci, Rodolphe Sepulchre

Small inhibitory neuronal circuits have long been identified as key neuronal motifs to generate and modulate the coexisting rhythms of various motor functions. Our paper highlights…

math.OC2017

Multi-agent decision-making dynamics inspired by honeybees

Rebecca Gray, Alessio Franci, Vaibhav Srivastava +1

When choosing between candidate nest sites, a honeybee swarm reliably chooses the most valuable site and even when faced with the choice between near-equal value sites, it makes hi…

q-bio.NC2017

Robust and tunable bursting requires slow positive feedback

Alessio Franci, Guillaume Drion, Rodolphe Sepulchre

We highlight that the robustness and tunability of a bursting model critically relies on currents that provide slow positive feedback to the membrane potential. Such currents have…

q-bio.NC2017

Excitable behaviors

Rodolphe Sepulchre, Guillaume Drion, Alessio Franci

This chapter revisits the concept of excitability, a basic system property of neurons. The focus is on excitable systems regarded as behaviors rather than dynamical systems. By thi…

math.OC2016

On-line detection of qualitative dynamical changes in nonlinear systems: the resting-oscillation case

Ying Tang, Alessio Franci, Romain Postoyan

Motivated by neuroscience applications, we introduce the concept of qualitative detection, that is, the problem of determining on-line the current qualitative dynamical behavior (e…