CHAOS, BIFURCATION AND ROBUSTNESS OF A CLASS OF HOPFIELD NEURAL NETWORKS

DOI10.1142/S0218127411028866zbMath1215.34054OpenAlexW2039712073MaRDI QIDQ3010322

Yan Huang, Wen-Zhi Huang

Publication date: 30 June 2011

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

Full work available at URL: https://doi.org/10.1142/s0218127411028866

zbMATH Keywords

horseshoechaosbifurcationlimit cycletopological entropyHopfield neural networkPoincaré map

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)

Related Items (6)

Dynamical Effects of Neuron Activation Gradient on Hopfield Neural Network: Numerical Analyses and Hardware Experiments ⋮ Analysis, stabilization, and DSP-based implementation of a chaotic system with nonhyperbolic equilibrium ⋮ Mixed-coexistence of periodic orbits and chaotic attractors in an inertial neural system with a nonmonotonic activation function ⋮ Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons ⋮ Two bifurcation routes to multiple chaotic coexistence in an inertial two-neural system with time delay ⋮ A RING-SCROLL CHUA SYSTEM

Cites Work

• Unnamed Item
• Horseshoes in piecewise continuous maps
• Metric horseshoes
• A comparative study of computation of Lyapunov spectra with different algorithms
• A planar topological horseshoe theory with applications to computer verifications of chaos
• Ergodic theory of chaos and strange attractors
• Neurons with graded response have collective computational properties like those of two-state neurons.

This page was built for publication: CHAOS, BIFURCATION AND ROBUSTNESS OF A CLASS OF HOPFIELD NEURAL NETWORKS