Applications of some mathematical methods in the analysis of cellular neural networks

DOI10.1016/S0377-0427(99)00277-0zbMath0968.34037WikidataQ127840669 ScholiaQ127840669MaRDI QIDQ1970410

Angela Slavova

Publication date: 21 March 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityexistenceperiodic solutionsequilibrium pointsdynamical systemscellular neural networksbifurcation

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) General theory of functional-differential equations (34K05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

Complex behavior of polynomial FitzHugh-Nagumo cellular neural network model ⋮ Feedback synchronization of FHN cellular neural networks ⋮ CNN model for studying dynamics and travelling wave solutions of FitzHugh-Nagumo equation

Cites Work

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• Cellular neural networks: theory
• A condition for global convergence of a class of symmetric neural circuits
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• On the universe of stable cellular neural networks
• Stability analysis of generalized cellular neural networks
• On the application of degree theory to the analysis of resistive nonlinear networks
• Dynamic properties of cellular neural networks with nonlinear output function
• Bifurcation and chaos in cellular neural networks
• Stability of cellular neural networks with dominant nonlinear and delay-type templates
• Strange attractors in delayed cellular neural networks
• Neurons with graded response have collective computational properties like those of two-state neurons.

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