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 …

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 …

Higher-order networks have emerged as a powerful framework to model complex systems
and their collective behavior. Going beyond pairwise interactions, they encode structured …

Higher-order interactions shape collective dynamics, but how they affect transitions between
different states in swarmalator systems is yet to be determined. To that effect, we here study …

We introduce a new model consisting of globally coupled high-dimensional generalized limit-
cycle oscillators, which explicitly incorporates the role of amplitude dynamics of individual …

Networks in nature have complex interactions among agents. One significant phenomenon
induced by interactions is synchronization of coupled agents, and the interactive network …

The study of reaction-diffusion systems on networks is of paramount relevance for the
understanding of nonlinear processes in systems where the topology is intrinsically discrete …

A long-standing expectation is that two repulsively coupled oscillators tend to oscillate in
opposite directions. It has been difficult to achieve complete synchrony in coupled identical …

This letter investigates the upshots of adaptive development of pure two-and three-simplicial
complexes (triad and tetrad) on the nature of the transition to desynchrony of the oscillator …

Explosive synchronization underlying many realistic dynamic processes has attracted great
attention in the various fields. Here, we generalize the Kuramoto model with heterogeneous …