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math.DS2024
Networks of Pendula with Diffusive Interactions
Riccardo Bonetto, Hildeberto Jardón-Kojakhmetov, Christian Kuehn
We study a system of coupled pendula with diffusive interactions, which could depend both on positions and on momenta. The coupling structure is defined by an undirected network, w…
math.DS2024
On the Eigenvalues of Graphs with Mixed Algebraic Structure
Riccardo Bonetto, Hildeberto Jardón Kojakhmetov
We study some spectral properties of a matrix that is constructed as a combination of a Laplacian and an adjacency matrix of simple graphs. The matrix considered depends on a posit…