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 …

Many real world applications are modelled by coupled systems on undirected networks. Two
striking classes of such systems are the gradient and the Hamiltonian systems. In fact, within …

Given a directed graph, an equivalence relation on the graph vertex set is said to be
balanced if, for every two vertices in the same equivalence class, the number of directed …

Many real world applications are modelled by coupled systems on undirected networks. Two
striking classes of such systems are the gradient and the Hamiltonian systems. In fact, within …