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Periodic oscillation for a three-neuron network with delays

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Publication:1433204
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DOI10.1016/S0893-9659(03)90125-XzbMath1056.34067MaRDI QIDQ1433204

Zhengqiu Zhang, Shangjiang Guo

Publication date: 15 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)


zbMATH Keywords

neural networkperiodic solutioncontinuation theorem


Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Periodic solutions to functional-differential equations (34K13)


Related Items

Bifurcation analysis of a class of neural networks with delays ⋮ Effects of asymmetric coupling and self-coupling on metastable dynamical transient rotating waves in a ring of sigmoidal neurons



Cites Work

  • Ordinary differential equations with nonlinear boundary conditions
  • Synchronization and stable phase-locking in a network of neurons with memory.
  • Stability and bifurcation in a neural network model with two delays.
  • Delay induced periodicity in a neural netlet of excitation and inhibition
  • Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays
  • Periodic solutions of planar systems with two delays
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