Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays

[1]  Junjie Wei,et al.  Global existence of periodic solutions in a tri-neuron network model with delays , 2004 .

[2]  M. Velarde,et al.  Bifurcation analysis and existence of periodic solutions in a simple neural network with delays. , 2004, Chaos.

[3]  Xingfu Zou,et al.  Hopf bifurcation in bidirectional associative memory neural networks with delays: analysis and computation , 2004 .

[4]  S. Ruan,et al.  On the zeros of transcendental functions with applications to stability of delay differential equations with two delays , 2003 .

[5]  Jianhong Wu,et al.  Stable phase-locked periodic solutions in a delay differential system , 2003 .

[6]  Lihong Huang,et al.  Hopf bifurcating periodic orbits in a ring of neurons with delays , 2003 .

[7]  Lihong Huang,et al.  Nonlinear Waves in Networks of Neurons with Delayed Feedback: Pattern Formation and Continuation , 2003, SIAM J. Math. Anal..

[8]  X. Zou,et al.  Harmless delays in Cohen–Grossberg neural networks ☆ , 2002 .

[9]  Fotios Giannakopoulos,et al.  Bifurcations in a planar system of differential delay equations modeling neural activity , 2001 .

[10]  S. Mohamad Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks , 2001 .

[11]  Jianhong Wu,et al.  Introduction to Neural Dynamics and Signal Transmission Delay , 2001 .

[12]  Xingfu Zou,et al.  Stabilization role of inhibitory self-connections in a delayed neural network , 2001 .

[13]  S. Ruan,et al.  On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion. , 2001, IMA journal of mathematics applied in medicine and biology.

[14]  T. Faria On a Planar System Modelling a Neuron Network with Memory , 2000 .

[15]  J. Cao,et al.  Periodic oscillatory solution of bidirectional associative memory networks with delays. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  Sue Ann Campbell,et al.  Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays , 2000, SIAM J. Appl. Math..

[17]  Jianhong Wu,et al.  Minimal instability and unstable set of a phase-locked periodic orbit in a delayed neural network , 1999 .

[18]  Junjie Wei,et al.  Qualitative analysis of a neural network model with multiple time delays , 1999 .

[19]  S. Ruan,et al.  Stability and bifurcation in a neural network model with two delays , 1999 .

[20]  Jinde Cao,et al.  Global stability analysis in delayed cellular neural networks. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[21]  Pauline van den Driessche,et al.  Global Attractivity in Delayed Hopfield Neural Network Models , 1998, SIAM J. Appl. Math..

[22]  Jianhong Wu SYMMETRIC FUNCTIONAL DIFFERENTIAL EQUATIONS AND NEURAL NETWORKS WITH MEMORY , 1998 .

[23]  Jacques Bélair,et al.  Bifurcations, stability, and monotonicity properties of a delayed neural network model , 1997 .

[24]  Sue Ann Campbell,et al.  Frustration, Stability, and Delay-Induced Oscillations in a Neural Network Model , 1996, SIAM J. Appl. Math..

[25]  K. Gopalsamy,et al.  Delay induced periodicity in a neural netlet of excitation and inhibition , 1996 .

[26]  Wang,et al.  Qualitative analysis of Cohen-Grossberg neural networks with multiple delays. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[27]  Wang,et al.  Global stability and local stability of Hopfield neural networks with delays. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[28]  Xue-Zhong He,et al.  Delay-independent stability in bidirectional associative memory networks , 1994, IEEE Trans. Neural Networks.

[29]  Amir F. Atiya,et al.  How delays affect neural dynamics and learning , 1994, IEEE Trans. Neural Networks.

[30]  D. Kelly,et al.  Stability in contractive nonlinear neural networks , 1990, IEEE Transactions on Biomedical Engineering.

[31]  Bart Kosko,et al.  Unsupervised learning in noise , 1990, International 1989 Joint Conference on Neural Networks.

[32]  R. Westervelt,et al.  Stability of analog neural networks with delay. , 1989, Physical review. A, General physics.

[33]  BART KOSKO,et al.  Bidirectional associative memories , 1988, IEEE Trans. Syst. Man Cybern..

[34]  R. Westervelt,et al.  Dynamics of simple electronic neural networks , 1987 .

[35]  J J Hopfield,et al.  Neurons with graded response have collective computational properties like those of two-state neurons. , 1984, Proceedings of the National Academy of Sciences of the United States of America.

[36]  B. Hassard,et al.  Theory and applications of Hopf bifurcation , 1981 .