Memristor Synapse-Based Morris–Lecar Model: Bifurcation Analyses and FPGA-Based Validations for Periodic and Chaotic Bursting/Spiking Firings

DOI10.1142/S0218127420500455zbMath1441.34054OpenAlexW3014798532MaRDI QIDQ5221686

Quan Xu, Han Bao, Dong Zhu, Wenbo Liu, Mo Chen, Bocheng Bao

Publication date: 3 April 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420500455

zbMATH Keywords

bifurcation analysisbursting/spiking firingsFPGA-based validationmemristor synapse-based Morris-Lecar (m-ML) model

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Nonautonomous smooth dynamical systems (37C60) Relaxation oscillations for ordinary differential equations (34C26) Circuits in qualitative investigation and simulation of models (94C60)

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Cites Work

• Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons
• Hidden extreme multistability and dimensionality reduction analysis for an improved non-autonomous memristive Fitzhugh-Nagumo circuit
• Dynamical responses in a new neuron model subjected to electromagnetic induction and phase noise
• Phase synchronization between two neurons induced by coupling of electromagnetic field
• Generation of firing rhythm patterns and synchronization in the Morris-Lecar neuron model
• Period-adding bifurcation and chaos in a hybrid Hindmarsh-Rose model
• Abundant bursting patterns of a fractional-order Morris-Lecar neuron model
• Spontaneous Electromagnetic Induction Modulating the Neuronal Dynamical Response
• Bipolar Pulse-Induced Coexisting Firing Patterns in Two-Dimensional Hindmarsh–Rose Neuron Model
• Real-Time Computation at the Edge of Chaos in Recurrent Neural Networks
• A Triangular Periodic Table of Elementary Circuit Elements
• NEURAL EXCITABILITY, SPIKING AND BURSTING
• The Electrical Activity of Neurons Subject to Electromagnetic Induction and Gaussian White Noise

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