We investigate epidemic spreading in a deterministic susceptible-infected-susceptible
model on uncorrelated heterogeneous networks with higher-order interactions. We provide …

We give evidence that consecutive explosive transitions may occur in two-layered networks,
when a dynamical layer made of an ensemble of networking phase oscillators interacts with …

Single contagion processes are known to display a continuous transition from an epidemic-
free state to an epidemic one, for contagion rates above a critical threshold. This transition …

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 …

The interplay between synchronization across layers and structures within layers still
remains far unclear in multi-layer networks. Via our newly-constructed two-layer network …

This Letter investigates the nature of synchronization in multilayered and multiplexed
populations in which the interlayer interactions are randomly pinned. First, we show that a …

Symmetries in a network connectivity regulate how the graph's functioning organizes into
clustered states. Classical methods for tracing the symmetry group of a network require very …

The study of first order transition (explosive synchronization) in an ensemble (network) of
coupled oscillators has been the topic of paramount interest among the researchers for more …

Works based on opinion changing rate (OCR) model focused on synchronization due to
interactions among oscillators, but the cost of interactions had not been considered. Inspired …

A multiplex network of identical dynamical units becomes resilient against parameter
perturbation by adding selective linear diffusive cross-coupling links. A parameter drift at any …