7 citations · 11 across the 7 of their papers we have counts for
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math.DS2024
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…
math.DS2024
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…
math.RA2024★ 3 cited
SVD, joint-MVD, Berry phase, and generic loss of rank for a matrix valued function of 2 parameters
Luca Dieci, Alessandro Pugliese
In this work we consider generic losses of rank for complex valued matrix functions depending on two parameters. We give theoretical results that characterize parameter regions whe…