Bifurcation of a feed forward neural network with delay and application in image contrast enhancement

DOI10.3934/mbe.2020021zbMath1475.94026OpenAlexW2979484968WikidataQ91298285 ScholiaQ91298285MaRDI QIDQ2045692

Yanyan Li

Publication date: 13 August 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2020021

zbMATH Keywords

delayneural networkHopf bifurcationHopf-pitchfork bifurcationimage contrast enhancementfeed-forward

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Neural networks for/in biological studies, artificial life and related topics (92B20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Cites Work

• Zero-Hopf bifurcation analysis in delayed differential equations with two delays
• Local Hopf bifurcation and global periodic solutions in a delayed predator--prey system
• Dynamics in three cells with multiple time delays
• Multiple Hopf bifurcations of symmetric BAM neural network model with delay
• Applications of centre manifold theory
• Elements of applied bifurcation theory.
• A tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol-Duffing oscillator
• Global existence of periodic solutions in a tri-neuron network model with delays
• Stability and bifurcation in a neural network model with two delays.
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Dynamic properties of feed-forward neural networks and application in contrast enhancement for image
• Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in \(\mathbb R^3\)
• Hopf-pitchfork bifurcation in a two-neuron system with discrete and distributed delays
• Equivariant Hopf-Pitchfork Bifurcation of Symmetric Coupled Neural Network with Delay
• Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
• A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation
• Hypernormal Form for the Hopf-Zero Bifurcation
• Neurons with graded response have collective computational properties like those of two-state neurons.

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