Synchronization in multiplex networks
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 …
both natural and engineered systems and is thus of increasing interest across disciplines. In …
Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes
Higher-order networks have emerged as a powerful framework to model complex systems
and their collective behavior. Going beyond pairwise interactions, they encode structured …
and their collective behavior. Going beyond pairwise interactions, they encode structured …
AI Pontryagin or how artificial neural networks learn to control dynamical systems
The efficient control of complex dynamical systems has many applications in the natural and
applied sciences. In most real-world control problems, both control energy and cost …
applied sciences. In most real-world control problems, both control energy and cost …
Neural stochastic control
Control problems are always challenging since they arise from the real-world systems where
stochasticity and randomness are of ubiquitous presence. This naturally and urgently calls …
stochasticity and randomness are of ubiquitous presence. This naturally and urgently calls …
Turing patterns on discrete topologies: from networks to higher-order structures
Nature is a blossoming of regular structures, signature of self-organization of the underlying
microscopic interacting agents. Turing theory of pattern formation is one of the most studied …
microscopic interacting agents. Turing theory of pattern formation is one of the most studied …
Higher-order correlations reveal complex memory in temporal hypergraphs
Many real-world complex systems are characterized by interactions in groups that change in
time. Current temporal network approaches, however, are unable to describe group …
time. Current temporal network approaches, however, are unable to describe group …
Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions
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 …
network description to account for generalized interactions. Here, we establish a unified …
Extreme synchronization events in a Kuramoto model: The interplay between resource constraints and explosive transitions
Many living and artificial systems possess structural and dynamical properties of complex
networks. One of the most exciting living networked systems is the brain, in which …
networks. One of the most exciting living networked systems is the brain, in which …
Machine-learning-coined noise induces energy-saving synchrony
Noise-induced synchronization is a pervasive phenomenon observed in a multitude of
natural and engineering systems. Here, we devise a machine learning framework with the …
natural and engineering systems. Here, we devise a machine learning framework with the …
The impacts of the individual activity and attractiveness correlation on spreading dynamics in time-varying networks
The heterogeneous distributions of individual activity and attractiveness can significantly
affect the dynamic processes in time-varying networks. Here we study the impacts of the …
affect the dynamic processes in time-varying networks. Here we study the impacts of the …