Enhancement of neuronal coherence by diversity in coupled Rulkov-map models

H Chen, J Zhang, J Liu - Physica A: Statistical Mechanics and its …, 2008 - Elsevier
We study the influence of diversity on the dynamics of spiking in spatially extended systems
with global or diffusive couplings, which is locally modeled by a map-based neuron. The …

Chaotic dynamics in spatially distributed neuronal networks generate population-wide shared variability

N Mosheiff, B Ermentrout, C Huang - PLOS Computational Biology, 2023 - journals.plos.org
Neural activity in the cortex is highly variable in response to repeated stimuli. Population
recordings across the cortex demonstrate that the variability of neuronal responses is shared …

Impact of bounded noise and shortcuts on the spatiotemporal dynamics of neuronal networks

XL Yang, YB Jia, L Zhang - Physica A: Statistical Mechanics and its …, 2014 - Elsevier
The influences of bounded noise together with shortcuts on the spatiotemporal collective
behaviors of temporal coherence and spatial synchronization are discussed in neuronal …

Self-organization of a neural network with heterogeneous neurons enhances coherence and stochastic resonance

X Li, J Zhang, M Small - Chaos: An Interdisciplinary Journal of …, 2009 - pubs.aip.org
Most network models for neural behavior assume a predefined network topology and consist
of almost identical elements exhibiting little heterogeneity. In this paper, we propose a self …

Effects of correlated Gaussian noise on the mean firing rate and correlations of an electrically coupled neuronal network

X Sun, M Perc, Q Lu, J Kurths - Chaos: An Interdisciplinary Journal of …, 2010 - pubs.aip.org
In this paper, we examine the effects of correlated Gaussian noise on a two-dimensional
neuronal network that is locally modeled by the Rulkov map. More precisely, we study the …

Pattern formation and firing synchronization in networks of map neurons

QY Wang, ZS Duan, L Huang, GR Chen… - New Journal of …, 2007 - iopscience.iop.org
Patterns and collective phenomena such as firing synchronization are studied in networks of
nonhomogeneous oscillatory neurons and mixtures of oscillatory and excitable neurons …

Strength of correlations in strongly recurrent neuronal networks

R Darshan, C Van Vreeswijk, D Hansel - Physical Review X, 2018 - APS
Spatiotemporal correlations in brain activity are functionally important and have been
implicated in perception, learning and plasticity, exploratory behavior, and various aspects …

Coherence resonance in small-world networks of excitable cells

O Kwon, HT Moon - Physics Letters A, 2002 - Elsevier
We investigate the effect of small-world networks on the phenomenon of coherence
resonance of Hodgkin–Huxley neurons. It is found that increasing the randomness p of the …

Noise induced complexity: patterns and collective phenomena in a small-world neuronal network

Y Zheng, Q Wang, MF Danca - Cognitive neurodynamics, 2014 - Springer
The effects of noise on patterns and collective phenomena are studied in a small-world
neuronal network with the dynamics of each neuron being described by a two-dimensional …

Bursting synchronization in non-locally coupled maps

JCA De Pontes, RL Viana, SR Lopes… - Physica A: Statistical …, 2008 - Elsevier
Neuron activity presents two timescales, a fast one related to action-potential spiking, and a
slow timescale in which bursting takes place. Bursting activity in neuron ensembles can be …