Synchronization in a network of connected elements is essential to the proper functioning of
both natural and engineered systems and is thus of increasing interest across disciplines. In …

This paper investigates pinning synchronization of coupled neural networks with both
current-state coupling and distributed-delay coupling via impulsive control. A novel impulse …

Dualities are mathematical mappings that reveal links between apparently unrelated
systems in virtually every branch of physics,,,,,,–. Systems mapped onto themselves by a …

When describing complex interconnected systems, one often has to go beyond the standard
network description to account for generalized interactions. Here, we establish a unified …

The field of network synchronization has seen tremendous growth following the introduction
of the master stability function (MSF) formalism, which enables the efficient stability analysis …

We present a general framework to study stability of the synchronous solution for a
hypernetwork of coupled dynamical systems. We are able to reduce the dimensionality of …

The stability analysis of synchronization patterns on generalized network structures is of
immense importance nowadays. In this article, we scrutinize the stability of intralayer …

The dispersion curves of (elastic) waveguides frequently exhibit crossings and osculations
(also known as veering, repulsion, or avoided crossing). Osculations are regions in the …

Full synchronization of dynamical elements coupled via hypergraphs can be analyzed with
the hypergraph projection onto dyadic matrices, but this is not sufficient for analyzing cluster …

We study cluster synchronization of networks and propose a canonical transformation for
simultaneous block diagonalization of matrices that we use to analyze the stability of the …