3 papers
math.GR2022
Algebraic Groups over Finite Fields: Connections Between Subgroups and Isogenies
Davide Sclosa
Let G be a linear algebraic group defined over a finite field F_q. We present several connections between the isogenies of G and the finite groups of rational points G(F_q^n). We s…
math.DS2022
Kuramoto Networks with Infinitely Many Stable Equilibria
Davide Sclosa
We prove that the Kuramoto model on a graph can contain infinitely many non-equivalent stable equilibria. More precisely, we prove that for every positive integer d there is a conn…
math.DS2021
Completely Degenerate Equilibria of the Kuramoto Model on Networks
Davide Sclosa
Kuramoto Networks contain non-hyperbolic equilibria whose stability is sometimes difficult to determine. We consider the extreme case in which all Jacobian eigenvalues are zero. In…