Parameter space of the Rulkov chaotic neuron model

DOI10.1016/J.CNSNS.2013.10.004zbMath1457.92034OpenAlexW2032685556MaRDI QIDQ2299805

Hongjun Cao, Cai-Xia Wang

Publication date: 24 February 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.10.004

zbMATH Keywords

parameter spacebifurcation analysiscenter manifold and normal formfiring regimeRulkov chaotic neuron model

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25)

Related Items (11)

Stability and synchronization of coupled Rulkov map-based neurons with chemical synapses ⋮ Synchronization of two identical and non-identical Rulkov models ⋮ Fourier analysis of a delayed Rulkov neuron network ⋮ Analysis of noise effects in a map-based neuron model with Canard-type quasiperiodic oscillations ⋮ Controlling the bursting size in the two-dimensional Rulkov model ⋮ Stochastic phenomena in one-dimensional Rulkov model of neuronal dynamics ⋮ Synchronization of Rulkov neuron networks coupled by excitatory and inhibitory chemical synapses ⋮ Synchronization Dynamics of Two Heterogeneous Chaotic Rulkov Neurons with Electrical Synapses ⋮ Noise-induced bursting and chaos in the two-dimensional Rulkov model ⋮ 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

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• Bursting synchronization in scale-free networks
• Geometric singular perturbation theory for ordinary differential equations
• Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks
• NUMERICAL COMPUTATION OF CANARDS
• Hybrid discrete-time neural networks
• Synchronization and propagation of bursts in networks of coupled map neurons

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