The structure and dynamics of networks with higher order interactions
All beauty, richness and harmony in the emergent dynamics of a complex system largely
depend on the specific way in which its elementary components interact. The last twenty-five …
depend on the specific way in which its elementary components interact. The last twenty-five …
Dynamics on higher-order networks: A review
Network science has evolved into an indispensable platform for studying complex systems.
But recent research has identified limits of classical networks, where links connect pairs of …
But recent research has identified limits of classical networks, where links connect pairs of …
The physics of higher-order interactions in complex systems
Complex networks have become the main paradigm for modelling the dynamics of
interacting systems. However, networks are intrinsically limited to describing pairwise …
interacting systems. However, networks are intrinsically limited to describing pairwise …
Adaptive dynamical networks
It is a fundamental challenge to understand how the function of a network is related to its
structural organization. Adaptive dynamical networks represent a broad class of systems that …
structural organization. Adaptive dynamical networks represent a broad class of systems that …
The synchronized dynamics of time-varying networks
Over the past two decades, complex network theory provided the ideal framework for
investigating the intimate relationships between the topological properties characterizing the …
investigating the intimate relationships between the topological properties characterizing the …
[HTML][HTML] 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 …
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 …
Epidemic spreading on higher-order networks
Gathering events, eg, going to gyms and meetings, are ubiquitous and crucial in the
spreading phenomena, which induce higher-order interactions, and thus can be described …
spreading phenomena, which induce higher-order interactions, and thus can be described …
Controlling complex networks with complex nodes
Real-world networks often consist of millions of heterogenous elements that interact at
multiple timescales and length scales. The fields of statistical physics and control theory both …
multiple timescales and length scales. The fields of statistical physics and control theory both …
[HTML][HTML] Higher-order motif analysis in hypergraphs
A deluge of new data on real-world networks suggests that interactions among system units
are not limited to pairs, but often involve a higher number of nodes. To properly encode …
are not limited to pairs, but often involve a higher number of nodes. To properly encode …