Understanding the human brain and its functions has always been an interesting and
challenging problem. Recently, a significant progress on this problem has been achieved on …

We present a systematic approach to reveal the correspondence between time delay
dynamics and networks of coupled oscillators. After early demonstrations of the usefulness …

Real-world systems in epidemiology, social sciences, power transportation, economics and
engineering are often described as multilayer networks. Here we first define and compute …

We propose a continuous-time multioption nonlinear generalization of classical linear
weighted-average opinion dynamics. Nonlinearity is introduced by saturating opinion …

We propose a one-parameter family of random walk processes on hypergraphs, where a
parameter biases the dynamics of the walker towards hyperedges of low or high cardinality …

A network consists of two interdependent parts: the network topology or graph, consisting of
the links between nodes and the network dynamics, specified by some governing equations …

The striking similarity between biological locomotion gaits and the evolution of phase
patterns in coupled oscillatory network can be traced to the role of central pattern generator …

Cluster synchronization is a phenomenon in which a network self-organizes into a pattern of
synchronized sets. It has been shown that diverse patterns of stable cluster synchronization …

In this paper, we study cluster synchronization in networks of oscillators with heterogenous
Kuramoto dynamics, where multiple groups of oscillators with identical phases coexist in a …

Core-periphery detection is a key task in exploratory network analysis where one aims to
find a core, a set of nodes well connected internally and with the periphery, and a periphery …