Synchronization in model networks of class I neurons
Guy Katriel
Abstract
We study a modification of the canonical model for networks of class I neurons, presented by Hoppensteadt and Izhikevich, in which the 'pulse' emitted by a neuron is smooth rather than a delta-function. We prove two types of results about synchronization and desynchronization of such networks, the first type pertaining to 'pulse' functions which are symmetric, and the other type in the regime in which each neuron is connected to many other neurons.
Create a lesson
Related papers
Stochastic resonance in adaptive dynamical networks
Vladimir V. Semenov
Collective Sensing as Emergent Bayesian Inference
Conor Heins
Dimension-dependent order parameter selection in higher-order Kuramoto dynamics on spheres: continuous versus quantized regimes
Hyungjin Huh, Dohyun Kim
Recovery Random Walks and Extreme Events on Complex Networks
Karan Singh, Narendran R. V., V. K. Chandrasekar et al.
Delay-induced multistability in one-dimensional swarmalators with common intrinsic frequency
Rommel Tchinda Djeudjo, Timoteo Carletti, Kevin P. O'Keeffe
Global synchronization of topological signals with time-delayed interactions
Wilfried Segnou, Thierry Njougouo, Diego Garlaschelli et al.