4 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…
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…
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…
Cusp bifurcations: numerical detection via two-parameter continuation and computer-assisted proofs of existence
Jean-Philippe Lessard, Alessandro Pugliese
This paper introduces a novel computer-assisted method for detecting and constructively proving the existence of cusp bifurcations in differential equations. The approach begins wi…