MOSAIC SOLUTIONS AND SPATIAL ENTROPY FOR A CLASS OF NEURAL NETWORK MODELS

DOI10.1142/S0218127400001043zbMath1090.34562OpenAlexW2039649494MaRDI QIDQ5474117

Barbara Jennings, Erik S. Van Vleck

Publication date: 23 June 2006

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

Full work available at URL: https://doi.org/10.1142/s0218127400001043

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Stability theory for ordinary differential equations (34D99)

Related Items (2)

EXISTENCE ANALYSIS OF MOSAIC SOLUTIONS FOR ONE-DIMENSIONAL CELLULAR NEURAL NETWORKS ⋮ THE MOSAIC PATTERNS OF CNN WITH SYMMETRIC FEEDBACK TEMPLATE

Cites Work

• Diffusion approximation for a multi-input model neuron
• A diffusion model of a neuron and neural nets
• Cellular neural networks: theory
• DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS
• CHARACTERIZATION AND DYNAMICS OF PATTERN FORMATION IN CELLULAR NEURAL NETWORKS
• Approximation of Neural Network Dynamics by Reaction-Diffusion Equations
• Neurons with graded response have collective computational properties like those of two-state neurons.

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