Bifurcation analysis in a recurrent neural network model with delays
- 28 February 2013
- journal article
- Published by Elsevier BV in Communications in Nonlinear Science and Numerical Simulation
- Vol. 18 (2), 351-372
- https://doi.org/10.1016/j.cnsns.2012.07.002
Abstract
No abstract availableKeywords
This publication has 30 references indexed in Scilit:
- Analyzing Oscillations for an $N$-node Recurrent Neural Networks Model With Time Delays and General Activation FunctionsIEEE Transactions on Circuits and Systems I: Regular Papers, 2011
- Permanent oscillations in a 3-node recurrent neural network modelNeurocomputing, 2010
- On Some Necessary and Sufficient Conditions for a Recurrent Neural Network Model With Time Delays to Generate OscillationsIEEE Transactions on Neural Networks, 2010
- Equilibria and Their Bifurcations in a Recurrent Neural Network Involving Iterates of a Transcendental FunctionIEEE Transactions on Neural Networks, 2008
- Toroidal normal forms for bifurcations in retarded functional differential equations I: Multiple Hopf and transcritical/multiple Hopf interactionJournal of Differential Equations, 2006
- Global stability analysis of neural networks with multiple time varying delaysIEEE Transactions on Automatic Control, 2005
- Equivariant Hopf bifurcation in a ring of identical cells with delayed couplingNonlinearity, 2005
- Global stability of a class of neural networks with time-varying delayIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 2005
- Multiple Scales without Center Manifold Reductions for Delay Differential Equations near Hopf BifurcationsNonlinear Dynamics, 2002
- Noisy Time Series Prediction using Recurrent Neural Networks and Grammatical InferenceMachine Learning, 2001