Temporal dynamics of a two-neuron continuous network model with time delay

DOI10.1016/S0307-904X(97)00080-2zbMath0893.68126OpenAlexW2064896015MaRDI QIDQ1384376

N. C. Majee, A. B. Roy

Publication date: 3 August 1998

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(97)00080-2

zbMATH Keywords

asymptotic stabilitybifurcationneural network modelstability switches

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05)

Related Items (15)

Bifurcation analysis on a two-neuron system with distributed delays in the frequency domain ⋮ Stability and bifurcation analysis in tri-neuron model with time delay ⋮ Stability, bifurcation and global existence of a Hopf-bifurcating periodic solution for a class of three-neuron delayed network models ⋮ Stability and bifurcation analysis in a system of four coupled neurons with multiple delays ⋮ Complex dynamics of a four neuron network model having a pair of short-cut connections with multiple delays ⋮ The nonresonant double Hopf bifurcation in delayed neural network ⋮ Bifurcation analysis and existence of periodic solutions in a simple neural network with delays ⋮ Dynamics of a delayed two-coupled oscillator with excitatory-to-excitatory connection ⋮ QUALITATIVE ANALYSIS OF A NEURAL NETWORK MODEL WITH MULTIPLE TIME DELAYS ⋮ Global existence of periodic solutions in a tri-neuron network model with delays ⋮ Global existence of periodic solutions in a special neural network model with two delays ⋮ Stability and bifurcation in a neural network model with two delays. ⋮ STABILITY AND BIFURCATION ANALYSIS ON A DELAYED NEURAL NETWORK MODEL ⋮ STEADY STATE SYMMETRY BREAKING IN PERIODICALLY EXCITED SYSTEMS INVOLVING TIME DELAY BY HARMONIC HOMOTOPY ⋮ Stability and Hopf-bifurcating periodic solution for delayed Hopfield neural networks with \(n\) neuron

Cites Work

• The trade-off between mutual interference and time lags in predator-prey systems
• Discrete delay, distributed delay and stability switches
• Stability in asymmetric Hopfield nets with transmission delays
• Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
• Neural networks and physical systems with emergent collective computational abilities.
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