Stochastic Spiking-Bursting Excitability and Transition to Chaos in a Discrete-Time Neuron Model
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Publication:5120511
DOI10.1142/S0218127420501539zbMath1450.37084OpenAlexW3081587736MaRDI QIDQ5120511
Venera Nasyrova, L. B. Ryashko, Irina Bashkirtseva
Publication date: 15 September 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127420501539
chaosbifurcationrandom disturbancestochastic sensitivitynoise-induced spikingRulkov neuron modelnoise-induced bursting
Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20)
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Cites Work
- Unnamed Item
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- A simple chaotic neuron
- New class of reduced computationally efficient neuronal models for large-scale simulations of brain dynamics
- Stochastic sensitivity of the closed invariant curves for discrete-time systems
- Control of sampling rate in map-based models of spiking neurons
- Analysis of noise effects in a map-based neuron model with Canard-type quasiperiodic oscillations
- Stochastic sensitivity analysis of chaotic attractors in 2D non-invertible maps
- Stochastic sensitivity of regular and multi-band chaotic attractors in discrete systems with parametric noise
- Subthreshold oscillations in a map-based neuron model
- Modeling of spiking-bursting neural behavior using two-dimensional map
- MODELING NEURONS BY SIMPLE MAPS
- Spontaneous Excitability in the Morris--Lecar Model with Ion Channel Noise
- Homoclinic Orbits of the FitzHugh–Nagumo Equation: Bifurcations in the Full System
- MAP BASED MODELS IN NEURODYNAMICS
- Coherence Resonance in a Noise-Driven Excitable System
- Synchronization of Rulkov neuron networks coupled by excitatory and inhibitory chemical synapses
- ORIGIN OF CHAOS IN A TWO-DIMENSIONAL MAP MODELING SPIKING-BURSTING NEURAL ACTIVITY
- Chaos in the Hodgkin--Huxley Model
- Interspike Interval Statistics in the Stochastic Hodgkin-Huxley Model: Coexistence of Gamma Frequency Bursts and Highly Irregular Firing
- Neurons with graded response have collective computational properties like those of two-state neurons.
- CLASSIFICATION OF BURSTING MAPPINGS
- Random dynamics of the Morris–Lecar neural model
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