Subthreshold oscillations in a map-based neuron model

Abstract

Self-sustained subthreshold oscillations in a discrete-time model of neuronal behavior are considered. We discuss bifurcation scenarios explaining the birth of these oscillations and their transformation into tonic spikes. Specific features of these transitions caused by the discrete-time dynamics of the model and the influence of external noise are discussed.

To be published in Physics Letters A

References in corpus (3)

• Modeling of Spiking-Bursting Neural Behavior Using Two-Dimensional Map
• Regularization of Synchronized Chaotic Bursts
• Coherence resonance in models of an excitable neuron with both fast and slow dynamics

Cited by in corpus (10)

• Delay-induced multiple stochastic resonances on scale-free neuronal networks
• Chaotic oscillations in a map-based model of neural activity
• A Brief History of Excitable Map-Based Neurons and Neural Networks
• New dynamics in cerebellar Purkinje cells: torus canards
• Bottom-up approach to torus bifurcation in neuron models
• Voltage interval mappings for an elliptic bursting model
• Bifurcation Phenomena in Two-Dimensional Piecewise Smooth Discontinuous Maps
• Topological-numerical analysis of a two-dimensional discrete neuron model
• Complex transitions between spiking, bursting and silent regimes in a new memristive Rulkov neuronal model
• Analysis of a map-based neuronal model