Dynamical properties of background neural networks with uniform firing rate and background input

DOI10.1016/J.CHAOS.2006.01.061zbMath1127.92012OpenAlexW1994598897MaRDI QIDQ2468208

Zhang Yi, Lei Zhang

Publication date: 30 January 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.01.061

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20)

Related Items (4)

Continuous attractors of a class of recurrent neural networks ⋮ Analysis of the equilibrium points of background neural networks with uniform firing rate ⋮ Dynamical properties of discrete-time background neural networks with uniform firing rate ⋮ On a family of maps with multiple chaotic attractors

Cites Work

• On global asymptotic stability of a class of nonlinear systems arising in neural network theory
• A new sufficient condition for complete stability of cellular neural networks with delay
• Dynamical Stability Conditions for Recurrent Neural Networks with Unsaturating Piecewise Linear Transfer Functions
• Multistability Analysis for Recurrent Neural Networks with Unsaturating Piecewise Linear Transfer Functions
• Background Synaptic Activity as a Switch Between Dynamical States in a Network
• New conditions for global stability of neural networks with application to linear and quadratic programming problems

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