Convergence and periodicity of solutions for a neural network of two neurons

DOI10.1016/S0096-3003(03)00817-8zbMath1061.34062MaRDI QIDQ1883534

Huiyan Zhu, Binxiang Dai, Li-Hong Huang

Publication date: 13 October 2004

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

zbMATH Keywords

convergenceneural networksperiodicitynonlinear delay differential equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (4)

Stability and bifurcation in a tri-neuron network model with discrete and distributed delays ⋮ Convergence conditions for some classes of nonlinear systems ⋮ Multi-stability and almost periodic solutions of a class of recurrent neural networks ⋮ Periodic solutions for a delayed neural network model on a special time scale

Cites Work

• Introduction to functional differential equations
• Connecting orbits from synchronous periodic solutions to phase-locked periodic solutions in a delay differential system
• Minimal instability and unstable set of a phase-locked periodic orbit in a delayed neural network
• Existence and attraction of a phase-locked oscillation in a delayed network of two neurons
• Delay induced periodicity in a neural netlet of excitation and inhibition
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