-
1
-
-
0023435167
-
Dynamics of simple electronic neural networks
-
K.L. Babcock, R.M. Westervelt, Dynamics of simple electronic neural networks, Physica D 28 (1987) 305-316.
-
(1987)
Physica D
, vol.28
, pp. 305-316
-
-
Babcock, K.L.1
Westervelt, R.M.2
-
2
-
-
0028468031
-
How delays affect neural dynamics and learning
-
P. Baldi, A. Atiya, How delays affect neural dynamics and learning, IEEE Trans. Neural Netw. 5 (1994) 610-621.
-
(1994)
IEEE Trans. Neural Netw.
, vol.5
, pp. 610-621
-
-
Baldi, P.1
Atiya, A.2
-
3
-
-
0030081051
-
Frustration, stability, and delay-induced oscillations in a neural network model
-
J. Bélair, S.A. Campbell, P. van den Driessche, Frustration, stability, and delay-induced oscillations in a neural network model, SIAM J. Appl. Math. 56 (1996) 245-255.
-
(1996)
SIAM J. Appl. Math.
, vol.56
, pp. 245-255
-
-
Bélair, J.1
Campbell, S.A.2
Van Den Driessche, P.3
-
4
-
-
0002848816
-
Stability and bifurcation of a simple neural network with multiple time delays
-
S.A. Campbell, Stability and bifurcation of a simple neural network with multiple time delays, Fields Inst. Commun. 21 (1999) 65-67.
-
(1999)
Fields Inst. Commun.
, vol.21
, pp. 65-67
-
-
Campbell, S.A.1
-
5
-
-
0033177129
-
Qualitative analysis of a neural network model with multiple time delays
-
S.A. Campbell, S. Ruan, J. Wei, Qualitative analysis of a neural network model with multiple time delays, Int. J. Bifur. Chaos 9 (1999) 1585-1595.
-
(1999)
Int. J. Bifur. Chaos
, vol.9
, pp. 1585-1595
-
-
Campbell, S.A.1
Ruan, S.2
Wei, J.3
-
6
-
-
0032589602
-
On stability analysis in delayed celler neural networks
-
J.D. Cao, On stability analysis in delayed celler neural networks, Phys. Rev. E 59 (1999) 5940-5944.
-
(1999)
Phys. Rev. E
, vol.59
, pp. 5940-5944
-
-
Cao, J.D.1
-
7
-
-
0034136641
-
Periodic oscillation solution of bidrectional associative memory networks with delays
-
J.D. Cao, Periodic oscillation solution of bidrectional associative memory networks with delays, Phys. Rev. E 59 (2000) 1825-1828.
-
(2000)
Phys. Rev. E
, vol.59
, pp. 1825-1828
-
-
Cao, J.D.1
-
8
-
-
0001115830
-
Minimal instability and unstable set of a phaselocked periodic orbit in a delayed neural network
-
Y. Chen, J. Wu, Minimal instability and unstable set of a phaselocked periodic orbit in a delayed neural network, Physica D 134 (1999) 185-199.
-
(1999)
Physica D
, vol.134
, pp. 185-199
-
-
Chen, Y.1
Wu, J.2
-
9
-
-
0034693565
-
On a planar system modeling a neuron network with memory
-
T. Faria, On a planar system modeling a neuron network with memory, J. Diff. Eqs. 168 (2000) 129-149.
-
(2000)
J. Diff. Eqs.
, vol.168
, pp. 129-149
-
-
Faria, T.1
-
10
-
-
0035890834
-
Bifurcations in a planar system of differential delay equations modeling neural activity
-
F. Giannakopoulos, A. Zapp, Bifurcations in a planar system of differential delay equations modeling neural activity, Physica D 159 (2001) 215-232.
-
(2001)
Physica D
, vol.159
, pp. 215-232
-
-
Giannakopoulos, F.1
Zapp, A.2
-
11
-
-
22244473030
-
Delay induced periodicity in a neural netlet of excitation and inhibition
-
K. Gopalsamy, I. Leung, Delay induced periodicity in a neural netlet of excitation and inhibition, Physica D 89 (1996) 395-426.
-
(1996)
Physica D
, vol.89
, pp. 395-426
-
-
Gopalsamy, K.1
Leung, I.2
-
12
-
-
0028542772
-
Delay-independent stability in bi-directional associative memory networks
-
K. Gopalsamy, X. He, Delay-independent stability in bi-directional associative memory networks, IEEE Trans. Neural Netw. 5 (1994) 998-1002.
-
(1994)
IEEE Trans. Neural Netw.
, vol.5
, pp. 998-1002
-
-
Gopalsamy, K.1
He, X.2
-
13
-
-
0041511877
-
Hopf bifurcating periodic orbits in a ring of neurons with delays
-
S. Guo, L. Huang, Hopf bifurcating periodic orbits in a ring of neurons with delays, Physica D 183 (2003) 19-44.
-
(2003)
Physica D
, vol.183
, pp. 19-44
-
-
Guo, S.1
Huang, L.2
-
14
-
-
0003973149
-
-
Cambridge University Press, Cambridge
-
B.D. Hassard, N.D. Kazarinoff, Y.H. Wan, Theory and Applications of Hopf bifurcation, Cambridge University Press, Cambridge, 1981.
-
(1981)
Theory and Applications of Hopf Bifurcation
-
-
Hassard, B.D.1
Kazarinoff, N.D.2
Wan, Y.H.3
-
15
-
-
0004469897
-
Neurons with graded response have collective computational properties like those of two-state neurons
-
J.J. Hopfield, Neurons with graded response have collective computational properties like those of two-state neurons, Proc. Nat. Acad. Sci. USA 81 (1984) 3088-3092.
-
(1984)
Proc. Nat. Acad. Sci. USA
, vol.81
, pp. 3088-3092
-
-
Hopfield, J.J.1
-
16
-
-
0038381865
-
Nonlinear waves in networks of neurons with delayed feedback: Pattern formation and continuation
-
L. Huang, J. Wu, Nonlinear waves in networks of neurons with delayed feedback: pattern formation and continuation, SIAM J. Math. Anal. 34 (2003) 836-860.
-
(2003)
SIAM J. Math. Anal.
, vol.34
, pp. 836-860
-
-
Huang, L.1
Wu, J.2
-
17
-
-
0025405546
-
Stability in contractive nonlinear neural networks
-
D.G. Kelly, Stability in contractive nonlinear neural networks, IEEE Trans. Biomed. 37 (1990) 231-242.
-
(1990)
IEEE Trans. Biomed.
, vol.37
, pp. 231-242
-
-
Kelly, D.G.1
-
18
-
-
0023861743
-
Bi-directional associative memories
-
B. Kosto, Bi-directional associative memories, IEEE Trans. Syst. Man Cybernet 18 (1988) 49.
-
(1988)
IEEE Trans. Syst. Man Cybernet
, vol.18
, pp. 49
-
-
Kosto, B.1
-
19
-
-
12244286970
-
Unsupervised learing in nose
-
B. Kosko, Unsupervised learing in nose, IEEE Trans. Neural Netw. 1 (1990) 1-12.
-
(1990)
IEEE Trans. Neural Netw.
, vol.1
, pp. 1-12
-
-
Kosko, B.1
-
20
-
-
0000655627
-
Stability of the Hopfield neural networks
-
X. Liao, Stability of the Hopfield neural networks, Sci. Chin. 23 (1993) 523-532.
-
(1993)
Sci. Chin.
, vol.23
, pp. 523-532
-
-
Liao, X.1
-
21
-
-
0000256610
-
Stability of analong neural network with delay
-
C.M. Marcus, R.M. Westervelt, Stability of analong neural network with delay, Phys. Rev. A 39 (1989) 347-359.
-
(1989)
Phys. Rev. A
, vol.39
, pp. 347-359
-
-
Marcus, C.M.1
Westervelt, R.M.2
-
22
-
-
0035890410
-
Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks
-
S. Mohamad, Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks, Physica D 159 (2001) 233-251.
-
(2001)
Physica D
, vol.159
, pp. 233-251
-
-
Mohamad, S.1
-
23
-
-
12244313650
-
Change in criticality of synchronous Hopf bifurcation in a multiple-delayed neural system
-
I. Ncube, S.A. Campbell, I. Wu, Change in criticality of synchronous Hopf bifurcation in a multiple-delayed neural system, Fields Inst. Commun. 36 (2003) 179-193.
-
(2003)
Fields Inst. Commun.
, vol.36
, pp. 179-193
-
-
Ncube, I.1
Campbell, S.A.2
Wu, I.3
-
24
-
-
0001082564
-
Bifurcations, stability, and monotonicity properties of a delayed neural network model
-
L. Olien, J. Blair, Bifurcations, stability, and monotonicity properties of a delayed neural network model, Physica D 102 (1997) 349-363.
-
(1997)
Physica D
, vol.102
, pp. 349-363
-
-
Olien, L.1
Blair, J.2
-
25
-
-
0035011952
-
On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion
-
S. Ruan, J. Wei, On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion, IMA J. Math. Appl. Med. Biol. 18 (2001) 41-52.
-
(2001)
IMA J. Math. Appl. Med. Biol.
, vol.18
, pp. 41-52
-
-
Ruan, S.1
Wei, J.2
-
26
-
-
1842465386
-
On the zeros of transcendental functions with applications to stability of delay differential equations with two delays
-
S. Ruan, I. Wei, On the zeros of transcendental functions with applications to stability of delay differential equations with two delays, Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 10 (2003) 863-874.
-
(2003)
Dyn. Contin. Discrete Impuls. Syst. Ser. a Math. Anal.
, vol.10
, pp. 863-874
-
-
Ruan, S.1
Wei, I.2
-
27
-
-
0342936163
-
Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays
-
P.L. Shayer, S.A. Campbell, Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays, SIAM J. Appl. Math. 61 (2000) 673-700.
-
(2000)
SIAM J. Appl. Math.
, vol.61
, pp. 673-700
-
-
Shayer, P.L.1
Campbell, S.A.2
-
28
-
-
0032298907
-
Global attractivity in delayed Hopfield neural network models
-
P. van den Driessche, X. Zou, Global attractivity in delayed Hopfield neural network models, SIAM J. Appl. Math. 58 (1998) 1878-1890.
-
(1998)
SIAM J. Appl. Math.
, vol.58
, pp. 1878-1890
-
-
Van Den Driessche, P.1
Zou, X.2
-
29
-
-
0035276184
-
Stabilization role of inhibitory self-connections in a delayed neural network
-
P. van den Driessche, J. Wu, X. Zou, Stabilization role of inhibitory self-connections in a delayed neural network, Physica D 150 (2001) 84-90.
-
(2001)
Physica D
, vol.150
, pp. 84-90
-
-
Van Den Driessche, P.1
Wu, J.2
Zou, X.3
-
30
-
-
0036722564
-
Harmless delays in Cohen-Grossberg neural networks
-
L. Wang, X. Zou, Harmless delays in Cohen-Grossberg neural networks, Physica D 170 (2002) 163-173.
-
(2002)
Physica D
, vol.170
, pp. 163-173
-
-
Wang, L.1
Zou, X.2
-
31
-
-
2342442918
-
Hopf bifurcation in bidirectional associative memory neural networks with delays: Analysis and computation
-
L. Wang, X. Zou, Hopf bifurcation in bidirectional associative memory neural networks with delays: analysis and computation, J. Comput. Appl. Math. 167 (2004) 73-90.
-
(2004)
J. Comput. Appl. Math.
, vol.167
, pp. 73-90
-
-
Wang, L.1
Zou, X.2
-
32
-
-
0347130009
-
Stability and bifurcation in a neural network model with two delays
-
J. Wei, S. Ruan, Stability and bifurcation in a neural network model with two delays, Physica D 130 (1999) 255-272.
-
(1999)
Physica D
, vol.130
, pp. 255-272
-
-
Wei, J.1
Ruan, S.2
-
33
-
-
6444228136
-
Global exstance of periodic solutions in a tri-neuron model with delays
-
J. Wei, M.Y. Li, Global exstance of periodic solutions in a tri-neuron model with delays, Physica D 198 (1-2) (2004) 106-119.
-
(2004)
Physica D
, vol.198
, Issue.1-2
, pp. 106-119
-
-
Wei, J.1
Li, M.Y.2
-
34
-
-
7244227815
-
Bifurcation analysis and existence of periodic solutions in a simple neural network with delays
-
J. Wei, M. Velarde, Bifurcation analysis and existence of periodic solutions in a simple neural network with delays, Chaos 14 3 (2004) 940-953.
-
(2004)
Chaos
, vol.14
, Issue.3
, pp. 940-953
-
-
Wei, J.1
Velarde, M.2
-
35
-
-
33646864830
-
Symmetric functional-differential equations and neural networks with memory
-
J. Wu, Symmetric functional-differential equations and neural networks with memory, Trans. Am. Math. Soc. 350 (1998) 4799-4838.
-
(1998)
Trans. Am. Math. Soc.
, vol.350
, pp. 4799-4838
-
-
Wu, J.1
-
37
-
-
0142024086
-
Stable phase-locked periodic solutions in a delay differential system
-
J. Wu, Stable phase-locked periodic solutions in a delay differential system, J. Diff. Eqs. 194 (2003) 237-286.
-
(2003)
J. Diff. Eqs.
, vol.194
, pp. 237-286
-
-
Wu, J.1
-
38
-
-
0000791959
-
Global stability and local stability of Hopfield neural networks
-
H. Ye, A. Michel, K. Wang, Global stability and local stability of Hopfield neural networks, Phys. Rev. E 50 (1994) 4206-4213.
-
(1994)
Phys. Rev. E
, vol.50
, pp. 4206-4213
-
-
Ye, H.1
Michel, A.2
Wang, K.3
-
39
-
-
5644283608
-
Qualitative analysis of Cohen-Grossberg neural networks with multiple delays
-
H. Ye, A. Michel, K. Wang, Qualitative analysis of Cohen-Grossberg neural networks with multiple delays, Phys. Rev. E 51 (1995) 2611-2618.
-
(1995)
Phys. Rev. E
, vol.51
, pp. 2611-2618
-
-
Ye, H.1
Michel, A.2
Wang, K.3
|