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[HTML][HTML] Networks beyond pairwise interactions: Structure and dynamics
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 …
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 …
the world, is said to have replied “an inordinate fondness for beetles”[705]. Today's …
Extreme events in globally coupled chaotic maps
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 …
Human beings revolve around these fears of uncertainties concerning various aspects like a …
Cluster synchronization in multiplex networks
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 …
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
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 …
Uhlenbeck and non-Gaussian colored noise and investigate the influence of noise on the …
Empirical mode decomposition and synchrogram approach to cardiorespiratory synchronization
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 …
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
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 …
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 …
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 …
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
We investigate synchronization of linearly coupled map lattices with asymmetric and
irreducible coupling matrices. In terms of graph terminology, the coupling matrix represents …
irreducible coupling matrices. In terms of graph terminology, the coupling matrix represents …