Desynchronization of large scale delayed neural networks

DOI10.1090/S0002-9939-00-05635-5zbMath0945.34056MaRDI QIDQ4955833

Yuming Chen, Jianhong Wu, Ying Sue Huang

Publication date: 22 May 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

negative feedbackdesynchronizationlarge scale delayed neural networksslowly oscillatory synchronous periodic solution

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Periodic solutions to functional-differential equations (34K13) Singular perturbations of functional-differential equations (34K26)

Related Items (12)

Pattern formation and continuation in a trineuron ring with delays ⋮ Stability analysis and absolute synchronization of a three--unit delayed neural network ⋮ Stability of synchronous slowly oscillating periodic solutions for systems of delay differential equations with coupled nonlinearity ⋮ Stability of nonlinear waves in a ring of neurons with delays ⋮ A sharp isoperimetric property of the renormalized area of a minimal surface in hyperbolic space ⋮ Spatio-temporal patterns in a ring network with delay and square symmetry ⋮ Hopf bifurcating periodic orbits in a ring of neurons with delays ⋮ Stability and Hopf bifurcation analysis in bidirectional ring network model ⋮ Spectrum Estimates and Applications to Geometry ⋮ Dynamics in a delayed-neural network ⋮ STABILITY AND BIFURCATION OF BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH DELAYED SELF-FEEDBACK ⋮ EFFECTS OF SHORT-CUT IN A DELAYED RING NETWORK

Cites Work

• Unnamed Item
• Unnamed Item
• Uniqueness and stability of slowly oscillating periodic solutions of delay equations with unbounded nonlinearity
• Uniqueness and stability of slowly oscillating periodic solutions of delay equations with bounded nonlinearity
• The multiplier equation and its application to \(S\)-solutions of a differential delay equation
• Introduction to functional differential equations
• Connecting orbits from synchronous periodic solutions to phase-locked periodic solutions in a delay differential system
• Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback
• Synchronization and stable phase-locking in a network of neurons with memory.
• Delay equations. Functional-, complex-, and nonlinear analysis
• Characteristic Multipliers and Stability of Symmetric Periodic Solutions of . x   (t) = g(x(t - 1))
• Symmetric functional differential equations and neural networks with memory
• Frustration, Stability, and Delay-Induced Oscillations in a Neural Network Model
• Neurons with graded response have collective computational properties like those of two-state neurons.

This page was built for publication: Desynchronization of large scale delayed neural networks