Synchronization in Hindmarsh–Rose neurons subject to higher-order interactions

F Parastesh, M Mehrabbeik, K Rajagopal… - … Journal of Nonlinear …, 2022 - pubs.aip.org
Higher-order interactions might play a significant role in the collective dynamics of the brain.
With this motivation, we here consider a simplicial complex of neurons, in particular …

Neuronal synchronization in time-varying higher-order networks

MS Anwar, D Ghosh - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023 - pubs.aip.org
ABSTRACT A potential issue of interest is figuring out how the combination of temporal and
higher-order interactions influences the collective dynamics of the brain, specifically …

Stability of synchronization in simplicial complexes with multiple interaction layers

MS Anwar, D Ghosh - Physical Review E, 2022 - APS
Understanding how the interplay between higher-order and multilayer structures of
interconnections influences the synchronization behaviors of dynamical systems is a …

[HTML][HTML] Stability of synchronization in simplicial complexes

LV Gambuzza, F Di Patti, L Gallo, S Lepri… - Nature …, 2021 - nature.com
Various systems in physics, biology, social sciences and engineering have been
successfully modeled as networks of coupled dynamical systems, where the links describe …

[HTML][HTML] Synchronization in simplicial complexes of memristive Rulkov neurons

M Mehrabbeik, S Jafari, M Perc - Frontiers in Computational …, 2023 - frontiersin.org
Simplicial complexes are mathematical constructions that describe higher-order interactions
within the interconnecting elements of a network. Such higher-order interactions become …

Synchronization properties of networks of electrically coupled neurons in the presence of noise and heterogeneities

S Ostojic, N Brunel, V Hakim - Journal of computational neuroscience, 2009 - Springer
We investigate how synchrony can be generated or induced in networks of electrically
coupled integrate-and-fire neurons subject to noisy and heterogeneous inputs. Using …

Phase synchronization of inhibitory bursting neurons induced by distributed time delays in chemical coupling

X Liang, M Tang, M Dhamala, Z Liu - … Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
Considering the fact that signal transmission time delays between different pairs of
synaptically coupled neurons in the brain are different, we study the effects of distributed …

Synchronization mode transitions induced by chaos in modified Morris–Lecar neural systems with weak coupling

T Li, G Wang, D Yu, Q Ding, Y Jia - Nonlinear Dynamics, 2022 - Springer
Based on a modified Morris–Lecar neural model, the synchronization modes transitions
between two coupled neurons or star-coupled neural network connected by weak electrical …

Asynchronous states and the emergence of synchrony in large networks of interacting excitatory and inhibitory neurons

D Hansel, G Mato - Neural computation, 2003 - direct.mit.edu
We investigate theoretically the conditions for the emergence of synchronous activity in large
networks, consisting of two populations of extensively connected neurons, one excitatory …

[HTML][HTML] Higher order interactions in complex networks of phase oscillators promote abrupt synchronization switching

PS Skardal, A Arenas - Communications Physics, 2020 - nature.com
Synchronization processes play critical roles in the functionality of a wide range of both
natural and man-made systems. Recent work in physics and neuroscience highlights the …