6 papers
Flocking and Mean-Field Analysis of Delayed Leader-Follower Cucker-Smale System
Chiara Cicolani
Inspired by \cite{CCP}, we investigate a delayed leader-follower Cucker-Smale model describing the collective dynamics of interacting agents subject to communication lags. We first…
Time-delayed opinion dynamics with leader-follower interactions: consensus, stability, and mean-field limits
Young-Pil Choi, Chiara Cicolani, Cristina Pignotti
We study a time-delayed variant of the Hegselmann-Krause opinion formation model featuring a small group of leaders and a large group of non-leaders. In this model, leaders influen…
Opinion dynamics under common influencer assumption or leadership control
Chiara Cicolani, Badis Ouahab, Cristina Pignotti
We study Hegselmann-Krause type opinion formation models with non-universal interaction and time-delayed coupling. We assume the presence of a common influencer between two differe…
First and second-order Cucker-Smale models with non-universal interaction, time delay and communication failures
Chiara Cicolani, Elisa Continelli, Cristina Pignotti
In this paper, we deal with first and second-order alignment models with non-universal interaction, time delay and possible lack of connection between the agents. More precisely, w…
Asymptotic synchronization of Kuramoto oscillators with time delay and non-universal interaction
Conor Carty, Young-Pil Choi, Chiara Cicolani +1
We study the emergence of synchronization in the Kuramoto model on a digraph in the presence of time delays. Assuming the digraph is strongly connected, we first establish a unifor…
Opinion dynamics of two populations with time-delayed coupling
Chiara Cicolani, Cristina Pignotti
We study a Hegselmann-Krause type opinion formation model for a system of two populations. The two groups interact with each other via subsets of individuals, namely the leaders, a…