Onset of synchronization in multiplex networks with higher order interactions

Control of network stochastic resonance in higher-order networks

This study extends the control channel from three-body coupling modulation to pairwise coupling modulation, and proposes an open-loop dynamical regulation strategy for global collective behaviors that leverages network stochastic resonance to achieve effective control without the need for real-time monitoring of the ne...

Explosive death in interacting networks under mixed coupling

Explosive death —a discontinuous, first-order transition from oscillatory dynamics to a steady state— is investigated in a framework of interacting networks under mixed coupling. Unlike previous studies focused on monolayer topologies, this work explores the interplay between local diffusive coupling among peripheral n...

Deviations from global coupling in adaptive oscillator networks: a mean-field theory for the variance of coupling weights

A wide range of physical and biological systems are adaptive networks, in which the dynamics of the nodes and of the edges connecting them co-evolve. Mean-field reductions of such systems typically track only the average coupling strength, and therefore cannot determine when the coupling stays effectively homogeneous a...

Interaction order controls stochastic-resonance enhancement and redistribution in delayed multiplex neural networks

We investigate stochastic resonance in a hierarchy of delayed excitable systems, from a single FitzHugh--Nagumo neuron to single-layer and duplex networks with autaptic, pairwise, triadic higher-order, and interlayer interactions. The response to weak periodic forcing is characterized by the spectral amplitude at the d...

Synchronous Stability in Multiplex Network Subject to Higher-Order Intralayer Interactions

Synchronization of directed hypergraphs with heterogeneities via dynamic coupling

Many real-world networks involve interactions among three or more agents that cannot be reduced to pairwise coupling, making hypergraphs a natural modeling framework. In this work, we study complete synchronization in directed hypergraphs of nonlinear agents with parameter mismatches under dynamic diffusive coupling. A...