Dynamical Effects of Neuron Activation Gradient on Hopfield Neural Network: Numerical Analyses and Hardware Experiments

DOI10.1142/S0218127419300106zbMath1415.34083OpenAlexW2940803118WikidataQ128008515 ScholiaQ128008515MaRDI QIDQ4632145

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Publication date: 26 April 2019

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

Full work available at URL: https://doi.org/10.1142/s0218127419300106

zbMATH Keywords

Hopfield neural network (HNN)dynamical effectlocal attraction basinneuron activation gradientparameter-space plot

Mathematics Subject Classification ID

Neural biology (92C20) 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) Relaxation oscillations for ordinary differential equations (34C26)

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Cites Work

• Multiple attractors in a non-ideal active voltage-controlled memristor based Chua's circuit
• Horseshoe chaos in a class of simple Hopfield neural networks
• Determining Lyapunov exponents from a time series
• Hidden chaotic sets in a Hopfield neural system
• Coexisting chaotic attractors in a single neuron model with adapting feedback synapse
• Delay induced periodicity in a neural netlet of excitation and inhibition
• Nonlinear dynamics and chaos in fractional-order neural networks
• Nonlinear dynamics and chaos in fractional-order Hopfield neural networks with delay
• Slow-fast dynamics of tri-neuron Hopfield neural network with two timescales
• On hyperchaos in a small memristive neural network
• CHAOS, BIFURCATION AND ROBUSTNESS OF A CLASS OF HOPFIELD NEURAL NETWORKS
• Neurons with graded response have collective computational properties like those of two-state neurons.

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