Analysis of a map-based neuronal model

DOI10.1080/10236198.2020.1780219zbMath1466.92023OpenAlexW3036266611MaRDI QIDQ4991425

Gheorghe Tigan, Raluca Efrem

Publication date: 3 June 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2020.1780219

zbMATH Keywords

periodic solutionsbifurcation theorystability theorybiomathematicsneural biology

Mathematics Subject Classification ID

Neural biology (92C20) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Cites Work

• Type III excitability, slope sensitivity and coincidence detection
• Noise-induced bursting and chaos in the two-dimensional Rulkov model
• Modulated noisy biological dynamics: Three examples
• Subthreshold oscillations in a map-based neuron model
• Modeling of spiking-bursting neural behavior using two-dimensional map
• Analysis of Noise-Induced Chaos-Order Transitions in Rulkov Model Near Crisis Bifurcations
• Bifurcations of a discrete-time neuron model
• ORIGIN OF CHAOS IN A TWO-DIMENSIONAL MAP MODELING SPIKING-BURSTING NEURAL ACTIVITY
• Stochastic sensitivity of attractors for a piecewise smooth neuron model
• Synchronization Dynamics of Two Heterogeneous Chaotic Rulkov Neurons with Electrical Synapses
• Elements of applied bifurcation theory

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