This Letter investigates the transition to synchronization of oscillator ensembles encoded by
simplicial complexes in which pairwise and higher-order coupling weights alter with time …

Multiconsensus in networks of dynamical systems is obtained when the network agents are
divided into clusters and all the agents within the same cluster achieve consensus (but …

We study the synchronization properties of a generic networked dynamical system, and
show that, under a suitable approximation, the transition to synchronization can be predicted …

Symmetries in a network regulate its organization into functional clustered states. Given a
generic ensemble of nodes and a desirable cluster (or group of clusters), we exploit the …

In functionally complex systems, higher order connectivity is often revealed in the underlying
geometry of networked units. Furthermore, such systems often show signatures of self …

We delve into the interplay between network's symmetry and functioning for a generic class
of dynamical systems. Primarily, we focus on a class of systems that characterize the …

This paper addresses the bipartite synchronization issue for a class of continuous-time
nonlinear cooperation-competition networks, in which the relationships between network …

In cluster synchronization, network nodes are divided into synchronized groups before the
whole network gets synchronized. This phenomenon is crucial in understanding the …

In a prior study, a novel deterministic compartmental model known as the SEIHRK model
was introduced, shedding light on the pivotal role of test kits as an intervention strategy for …

We design a new strategy to research the synchronization transmission of laser signal
between the discrete networks with delayed coupling and uncertain topology. First, Gibbs …