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20112024
most citedNonlinear Opinion Dynamics with Tunable Sensitivity

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

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13 papers · 1 filter

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.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…

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…

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.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…

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…

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…

math.OC2016★ 11 cited

Implementing robust neuromodulation in neuromorphic circuits

Fernando Castaños, Alessio Franci

We introduce a methodology to implement the physiological transition {between distinct neuronal spiking modes} in electronic circuits composed of resistors, capacitors and transist…

math.OC2015★ 9 cited

A Realization Theory for Bio-inspired Collective Decision-Making

Alessio Franci, Vaibhav Srivastava, Naomi Ehrich Leonard

The collective decision-making exhibited by animal groups provides enormous inspiration for multi-agent control system design as it embodies several features that are desirable in…

math.OC2014★ 3 cited

Realization of nonlinear behaviors from organizing centers

Alessio Franci, Rodolphe Sepulchre

Borrowing the concept of organizing center from singularity theory, the paper proposes a methodology to realize nonlinear behaviors such as switches, relaxation oscillators, or bur…