Integer multiple spiking in the stochastic Chay model and its dynamical generation mechanism

DOI10.1016/S0375-9601(02)00746-6zbMath0996.92002OpenAlexW1988641330MaRDI QIDQ1605509

Wei Ren, Zhuoqin Yang, Hua-Guang Gu, Qi-Shao Lu

Publication date: 17 July 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(02)00746-6

zbMATH Keywords

Gaussian white noisesubcritical Hopf bifurcationdeterministic system

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20)

Related Items (9)

A novel dynamical mechanism of neural excitability for integer multiple spiking ⋮ Bifurcation mechanism of bursting oscillations in parametrically excited dynamical system ⋮ GWN-INDUCED BURSTING, SPIKING, AND RANDOM SUBTHRESHOLD IMPULSING OSCILLATION BEFORE HOPF BIFURCATIONS IN THE CHAY MODEL ⋮ Dynamics and transitions of firing patterns in deterministic and stochastic neuronal systems ⋮ Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis ⋮ Contribution of a \(\mathrm{Ca}^{2+}\)-activated \(\mathrm{K}^+\) channel to neuronal bursting activities in the Chay model ⋮ Dynamics of autonomous stochastic resonance in neural period adding bifurcation scenarios ⋮ Codimension-two bifurcation analysis on firing activities in Chay neuron model ⋮ Deterministic integer multiple firing depending on initial state in the Wang model

Cites Work

• Chaos in a three-variable model of an excitable cell
• Coherence Resonance in a Noise-Driven Excitable System
• NEURAL EXCITABILITY, SPIKING AND BURSTING
• Elements of applied bifurcation theory

This page was built for publication: Integer multiple spiking in the stochastic Chay model and its dynamical generation mechanism