3 citations · 4 across the 5 of their papers we have counts for
6 papers
On the Optimal Laplacian Jordan Structure for Synchronizability
Luca Dieci, Cinzia Elia, Alessandro Pugliese
In this work, for a network of differential equations with a prescribed graph structure, our goal is to show how to select the Laplacian of the network in order to obtain the most…
Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficients
Cinzia Elia, Roberta Fabbri, Carmen Núñez
Nonautonomous bifurcation theory is a growing branch of mathematics, for the insight it provides into radical changes in the global dynamics of realistic models for many real-world…
On an inverse tridiagonal eigenvalue problem and its application to synchronization of network motion
Luca Dieci, Cinzia Elia, Alessandro Pugliese
In this work, motivated by the study of stability of the synchronous orbit of a network with tridiagonal Laplacian matrix, we first solve an inverse eigenvalue problem which builds…
Master stability function for piecewise smooth networks
L. Dieci, C. Elia
We consider a network of identical piecewise smooth systems that synchronizes on the manifold given by a periodic orbit of a single agent. We explicitly characterize the fundamenta…
Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type
Cinzia Elia, Ismael Maroto, Carmen Núñez +1
The analysis of the long-term behavior of the mathematical model of a neural network constitutes a suitable framework to develop new tools for the dynamical description of nonauton…
Piecewise smooth systems near a co-dimension 2 discontinuity manifold: can one say what should happen?
Luca Dieci, Cinzia Elia
We consider a piecewise smooth system in the neighborhood of a co-dimension 2 discontinuity manifold . Within the class of Filippov solutions, if is attractive, one should e…