23 citations · 24 across the 6 of their papers we have counts for
9 papers
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…
Exponential decay estimates for semilinear wave-type equations with time-dependent time delay
Cristina Pignotti
In this paper, we analyze a semilinear damped second order evolution equation with time-dependent time delay and time-dependent delay feedback coefficient. The nonlinear term satis…
Stability results for abstract evolution equations with intermittent time-delay feedback
Cristina Pignotti
We consider abstract evolution equations with on-off time delay feedback. Without the time delay term, the model is described by an exponentially stable semigroup. We show that, un…
Stability of an abstract-wave equation with delay and a Kelvin-Voigt damping
Kais Ammari, Serge Nicaise, Cristina Pignotti
In this paper we consider a stabilization problem for the abstract-wave equation with delay. We prove an exponential stability result for appropriate damping coefficient. The proof…
On the asymptotic behavior of symmetric solutions of the Allen-Cahn equation in unbounded domains in
Giorgio Fusco, Francesco Leonetti, Cristina Pignotti
We consider a Dirichlet problem for the Allen-Cahn equation in a smooth, bounded or unbounded, domain Under suitable assumptions, we prove an existence result…