[HTML][HTML] Networks beyond pairwise interactions: Structure and dynamics

F Battiston, G Cencetti, I Iacopini, V Latora, M Lucas… - Physics reports, 2020 - Elsevier
The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …

[LIBRO][B] Dynamics and bifurcation in networks: theory and applications of coupled differential equations

M Golubitsky, I Stewart - 2023 - SIAM
The biologist JBS Haldane, when asked what we can learn about the Creator by examining
the world, is said to have replied “an inordinate fondness for beetles”[705]. Today's …

Extreme events in globally coupled chaotic maps

SN Chowdhury, A Ray, A Mishra… - Journal of Physics …, 2021 - iopscience.iop.org
Understanding and predicting uncertain things are the central themes of scientific evolution.
Human beings revolve around these fears of uncertainties concerning various aspects like a …

Cluster synchronization in multiplex networks

S Jalan, A Singh - Europhysics Letters, 2016 - iopscience.iop.org
We study the impact of the interaction of nodes in a layer of a multiplex network on the
dynamical behavior and cluster synchronization of these nodes in the other layers. We find …

Influence of noise on the synchronization of the stochastic Kuramoto model

BC Bag, KG Petrosyan, CK Hu - Physical Review E—Statistical, Nonlinear, and …, 2007 - APS
We consider the Kuramoto model of globally coupled phase oscillators subject to Ornstein-
Uhlenbeck and non-Gaussian colored noise and investigate the influence of noise on the …

Empirical mode decomposition and synchrogram approach to cardiorespiratory synchronization

MC Wu, CK Hu - Physical Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
We use the empirical mode decomposition method to decompose experimental respiratory
signals into a set of intrinsic mode functions (IMFs), and consider one of these IMFs as a …

Synchronized clusters in coupled map networks. I. Numerical studies

S Jalan, RE Amritkar, CK Hu - Physical Review E—Statistical, Nonlinear, and …, 2005 - APS
We study the synchronization of coupled maps on a variety of networks including regular
one-and two-dimensional networks, scale-free networks, small world networks, tree …

Paths to globally generalized synchronization in scale-free networks

YC Hung, YT Huang, MC Ho, CK Hu - … E—Statistical, Nonlinear, and Soft Matter …, 2008 - APS
We apply the auxiliary-system approach to study paths to globally generalized
synchronization in scale-free networks of identical chaotic oscillators, including Hénon …

Firing patterns transition and desynchronization induced by time delay in neural networks

S Huang, J Zhang, M Wang, CK Hu - Physica A: Statistical Mechanics and …, 2018 - Elsevier
Abstract We used the Hindmarsh–Rose (HR) model (Hindmarsh and Rose, 1984) to study
the effect of time delay on the transition of firing behaviors and desynchronization in neural …

Global synchronization of discrete-time dynamical network with a directed graph

W Lu, T Chen - IEEE Transactions on Circuits and Systems II …, 2007 - ieeexplore.ieee.org
We investigate synchronization of linearly coupled map lattices with asymmetric and
irreducible coupling matrices. In terms of graph terminology, the coupling matrix represents …