3 papers
math.AP2025
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…
math.OC2024
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…
math.OC2024
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…