BURSTING TYPES AND STABLE DOMAINS OF RULKOV NEURON NETWORK WITH MEAN FIELD COUPLING

DOI10.1142/S0218127413300413zbMath1284.92020OpenAlexW2104902344MaRDI QIDQ5407262

Hongjun Cao, Yanguo Wu

Publication date: 7 April 2014

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127413300413

zbMATH Keywords

burstingmean field couplingbifurcation analysisRulkov neuron modelmaster stable function

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Local and nonlocal bifurcation theory for dynamical systems (37Gxx)

Related Items (8)

Ring of map-based neural oscillators: from order to chaos and back ⋮ Effect of Higher Order Terms on the Bifurcation Structure of Coupled Rulkov Neurons ⋮ Stability and synchronization of coupled Rulkov map-based neurons with chemical synapses ⋮ Synchronization of two identical and non-identical Rulkov models ⋮ Different characteristics and important channels between the healthy brain network and the epileptic brain network based on EEG data ⋮ Synchronization Dynamics of Two Heterogeneous Chaotic Rulkov Neurons with Electrical Synapses ⋮ Stability and chaos of Rulkov map-based neuron network with electrical synapse ⋮ Chaos in the Rulkov Neuron Model Based on Marotto’s Theorem

Cites Work

• Bursting and synchronization transition in the coupled modified ML neurons
• The integer multiple ``fold/homoclinic bursting induced by noise in the Chay neuronal model
• Hybrid discrete-time neural networks
• Synchronization and propagation of bursts in networks of coupled map neurons
• CLASSIFICATION OF BURSTING MAPPINGS

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