3 papers
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…
math-ph2024
Bounds and Phase Transitions for Phonons in Complex Network Structures
Riccardo Bonetto
We study a model of networked atoms or molecules oscillating around their equilibrium positions. The model assumes the harmonic approximation of the interactions. We provide bounds…