-
1
-
-
0028468031
-
How delays affect neural dynamics and learning
-
Baldi P., Atiya A.F. How delays affect neural dynamics and learning. IEEE Trans. Neural Networks 1994, 5(4):612-621.
-
(1994)
IEEE Trans. Neural Networks
, vol.5
, Issue.4
, pp. 612-621
-
-
Baldi, P.1
Atiya, A.F.2
-
3
-
-
36749036635
-
Patterns of oscillation in a ring of identical cells with delayed coupling
-
Bungay S.D., Campbell S.A. Patterns of oscillation in a ring of identical cells with delayed coupling. Int. J. Bifurcation Chaos 2007, 17(9):3109-3125.
-
(2007)
Int. J. Bifurcation Chaos
, vol.17
, Issue.9
, pp. 3109-3125
-
-
Bungay, S.D.1
Campbell, S.A.2
-
4
-
-
32844462800
-
Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system
-
Campbell S., Ncube I., Wu J. Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system. Phys. D: Nonlinear Phenom. 2006, 214(2):101-119.
-
(2006)
Phys. D: Nonlinear Phenom.
, vol.214
, Issue.2
, pp. 101-119
-
-
Campbell, S.1
Ncube, I.2
Wu, J.3
-
5
-
-
0033177129
-
Qualitative analysis of a neural network model with multiple time delays
-
Campbell S.A., Ruan S., Wei J. Qualitative analysis of a neural network model with multiple time delays. Int. J. Bifurcation Chaos Appl. Sci. Eng. 1999, 9(8):1585-1595.
-
(1999)
Int. J. Bifurcation Chaos Appl. Sci. Eng.
, vol.9
, Issue.8
, pp. 1585-1595
-
-
Campbell, S.A.1
Ruan, S.2
Wei, J.3
-
6
-
-
0035505398
-
Global convergence of delayed dynamical systems
-
Chen T. Global convergence of delayed dynamical systems. IEEE Trans. Neural Networks 2001, 12(6):1532-1536.
-
(2001)
IEEE Trans. Neural Networks
, vol.12
, Issue.6
, pp. 1532-1536
-
-
Chen, T.1
-
7
-
-
1242308776
-
Robust global exponential stability of Cohen-Grossberg neural networks with time delays
-
Chen T., Rong L. Robust global exponential stability of Cohen-Grossberg neural networks with time delays. IEEE Trans. Neural Networks 2004, 15(1):203-206.
-
(2004)
IEEE Trans. Neural Networks
, vol.15
, Issue.1
, pp. 203-206
-
-
Chen, T.1
Rong, L.2
-
8
-
-
36348966026
-
Global μ-stability of delayed neural networks with unbounded time-varying delays
-
Chen T., Wang L. Global μ-stability of delayed neural networks with unbounded time-varying delays. IEEE Trans. Neural Networks 2007, 18(6):1836-1840.
-
(2007)
IEEE Trans. Neural Networks
, vol.18
, Issue.6
, pp. 1836-1840
-
-
Chen, T.1
Wang, L.2
-
9
-
-
0011829541
-
Global dynamics of some periodically forced monotone difference equations
-
Cushing J.M., Henson S.M. Global dynamics of some periodically forced monotone difference equations. J. Difference Equations Appl. 2001, 7(6):859-872.
-
(2001)
J. Difference Equations Appl.
, vol.7
, Issue.6
, pp. 859-872
-
-
Cushing, J.M.1
Henson, S.M.2
-
10
-
-
22244473030
-
Delay induced periodicity in a neural network of excitation and inhibition
-
Gopalsamy K., Leung I. Delay induced periodicity in a neural network of excitation and inhibition. Phys. D: Nonlinear Phenom. 1996, 89(3-4):395-426.
-
(1996)
Phys. D: Nonlinear Phenom.
, vol.89
, Issue.3-4
, pp. 395-426
-
-
Gopalsamy, K.1
Leung, I.2
-
11
-
-
23444456002
-
Spatio-temporal patterns of nonlinear oscillations in an excitatory ring network with delay
-
Guo S. Spatio-temporal patterns of nonlinear oscillations in an excitatory ring network with delay. Nonlinearity 2005, 18(5):2391-2407.
-
(2005)
Nonlinearity
, vol.18
, Issue.5
, pp. 2391-2407
-
-
Guo, S.1
-
12
-
-
0041511877
-
Hopf bifurcating periodic orbits in a ring of neurons with delays
-
Guo S., Huang L. Hopf bifurcating periodic orbits in a ring of neurons with delays. Phys. D: Nonlinear Phenom. 2003, 183(1-2):19-44.
-
(2003)
Phys. D: Nonlinear Phenom.
, vol.183
, Issue.1-2
, pp. 19-44
-
-
Guo, S.1
Huang, L.2
-
14
-
-
34247102248
-
Stability of nonlinear waves in a ring of neurons with delays
-
Guo S., Huang L. Stability of nonlinear waves in a ring of neurons with delays. J. Differential Equations 2007, 236(2):343-374.
-
(2007)
J. Differential Equations
, vol.236
, Issue.2
, pp. 343-374
-
-
Guo, S.1
Huang, L.2
-
15
-
-
34247111800
-
Pattern formation and continuation in a trineuron ring with delays
-
Guo S., Huang L. Pattern formation and continuation in a trineuron ring with delays. Acta Math. Sin., Engl. Ser. 2007, 23(5):799-818.
-
(2007)
Acta Math. Sin., Engl. Ser.
, vol.23
, Issue.5
, pp. 799-818
-
-
Guo, S.1
Huang, L.2
-
16
-
-
3843105696
-
Periodic oscillation for discrete-time Hopfield neural networks
-
Guo S., Huang L. Periodic oscillation for discrete-time Hopfield neural networks. Phys. Lett. A 2004, 329(3):199-206.
-
(2004)
Phys. Lett. A
, vol.329
, Issue.3
, pp. 199-206
-
-
Guo, S.1
Huang, L.2
-
17
-
-
3242888425
-
Exponential stability of discrete-time Hopfield neural networks
-
Guo S., Huang L., Wang L. Exponential stability of discrete-time Hopfield neural networks. Comput. Math. Appl. 2004, 47:1249-1256.
-
(2004)
Comput. Math. Appl.
, vol.47
, pp. 1249-1256
-
-
Guo, S.1
Huang, L.2
Wang, L.3
-
18
-
-
40649088056
-
Bifurcation analysis in a discrete-time single-directional network with delays
-
Guo S., Tang X., Huang L. Bifurcation analysis in a discrete-time single-directional network with delays. Neurocomputing 2008, 71(7-9):1422-1435.
-
(2008)
Neurocomputing
, vol.71
, Issue.7-9
, pp. 1422-1435
-
-
Guo, S.1
Tang, X.2
Huang, L.3
-
19
-
-
34247179517
-
Stability and bifurcation of a class of discrete-time neural networks
-
He W., Cao J. Stability and bifurcation of a class of discrete-time neural networks. Appl. Math. Modelling 2007, 31:2111-2122.
-
(2007)
Appl. Math. Modelling
, vol.31
, pp. 2111-2122
-
-
He, W.1
Cao, J.2
-
20
-
-
0024909476
-
Convergent activation dynamics in continuous-time networks
-
Hirsch M. Convergent activation dynamics in continuous-time networks. Neural Networks 1989, 2(5):331-349.
-
(1989)
Neural Networks
, vol.2
, Issue.5
, pp. 331-349
-
-
Hirsch, M.1
-
21
-
-
0004469897
-
Neurons with graded response have collective computational properties like those of two state neurons
-
Hopfield J. Neurons with graded response have collective computational properties like those of two state neurons. Proc. Natl. Acad. Sci. 1984, 81(10):3088-3092.
-
(1984)
Proc. Natl. Acad. Sci.
, vol.81
, Issue.10
, pp. 3088-3092
-
-
Hopfield, J.1
-
22
-
-
33846194080
-
Hopf bifurcation analysis of two neurons with three delays
-
Huang C., He Y., Huang L. Hopf bifurcation analysis of two neurons with three delays. Nonlinear Anal.: Real World Appl. 2007, 8(3):903-921.
-
(2007)
Nonlinear Anal.: Real World Appl.
, vol.8
, Issue.3
, pp. 903-921
-
-
Huang, C.1
He, Y.2
Huang, L.3
-
23
-
-
34247122734
-
Hopf bifurcation analysis for a two-neuron network with four delays
-
Huang C., Huang L., Feng J., Nai M., He Y. Hopf bifurcation analysis for a two-neuron network with four delays. Chaos Solitons Fractals 2007, 34:795-812.
-
(2007)
Chaos Solitons Fractals
, vol.34
, pp. 795-812
-
-
Huang, C.1
Huang, L.2
Feng, J.3
Nai, M.4
He, Y.5
-
24
-
-
44349110244
-
Global asymptotic stability of recurrent neural networks with multiple time-varying delays
-
Huaguang Z., Zhanshan W., Derong L. Global asymptotic stability of recurrent neural networks with multiple time-varying delays. IEEE Trans. Neural Networks 2008, 19(5):855-873.
-
(2008)
IEEE Trans. Neural Networks
, vol.19
, Issue.5
, pp. 855-873
-
-
Huaguang, Z.1
Zhanshan, W.2
Derong, L.3
-
25
-
-
34547907802
-
Robust exponential stability of recurrent neural networks with multiple time-varying delays
-
Huaguang Z., Zhanshan W., Derong L. Robust exponential stability of recurrent neural networks with multiple time-varying delays. IEEE Trans. Circuits Syst. II-Express Briefs 2007, 54(8):730-734.
-
(2007)
IEEE Trans. Circuits Syst. II-Express Briefs
, vol.54
, Issue.8
, pp. 730-734
-
-
Huaguang, Z.1
Zhanshan, W.2
Derong, L.3
-
26
-
-
71749106122
-
Complex and chaotic dynamics in a discrete-time-delayed Hopfield neural network with ring architecture
-
Kaslik E., Balint St. Complex and chaotic dynamics in a discrete-time-delayed Hopfield neural network with ring architecture. Neural Networks 2009, 22(10):1411-1418.
-
(2009)
Neural Networks
, vol.22
, Issue.10
, pp. 1411-1418
-
-
Kaslik, E.1
Balint, S.2
-
27
-
-
84867952161
-
Chaotic dynamics of a delayed discrete-time Hopfield network of two nonidentical neurons with no self-connections
-
Kaslik E., Balint St. Chaotic dynamics of a delayed discrete-time Hopfield network of two nonidentical neurons with no self-connections. J. Nonlinear Sci. 2008, 18(4):415-432.
-
(2008)
J. Nonlinear Sci.
, vol.18
, Issue.4
, pp. 415-432
-
-
Kaslik, E.1
Balint, S.2
-
28
-
-
34247177948
-
Bifurcation analysis for a two-dimensional delayed discrete-time Hopfield neural network
-
Kaslik E., Balint St. Bifurcation analysis for a two-dimensional delayed discrete-time Hopfield neural network. Chaos Solitons Fractals 2007, 34(4):1245-1253.
-
(2007)
Chaos Solitons Fractals
, vol.34
, Issue.4
, pp. 1245-1253
-
-
Kaslik, E.1
Balint, S.2
-
29
-
-
60649109005
-
Bifurcation analysis for a discrete-time Hopfield neural network of two neurons with two delays and self-connections
-
Kaslik E., Balint St. Bifurcation analysis for a discrete-time Hopfield neural network of two neurons with two delays and self-connections. Chaos Solitons Fractals 2009, 39(1):83-91.
-
(2009)
Chaos Solitons Fractals
, vol.39
, Issue.1
, pp. 83-91
-
-
Kaslik, E.1
Balint, S.2
-
31
-
-
33750534582
-
Remarks on interaction Neimark-Sacker bifurcations
-
Kuznetsov Y.A., Meijer H.G.E. Remarks on interaction Neimark-Sacker bifurcations. J. Difference Equations Appl. 2006, 12(10):1009-1035.
-
(2006)
J. Difference Equations Appl.
, vol.12
, Issue.10
, pp. 1009-1035
-
-
Kuznetsov, Y.A.1
Meijer, H.G.E.2
-
32
-
-
45149126186
-
Complete classification and stability of equilibria in a delayed ring network
-
Lu X., Guo S. Complete classification and stability of equilibria in a delayed ring network. Electron. J. Differential Equations 2008, 2008(85):1-12.
-
(2008)
Electron. J. Differential Equations
, vol.2008
, Issue.85
, pp. 1-12
-
-
Lu, X.1
Guo, S.2
-
33
-
-
34249704683
-
Snap-back repellers imply chaos in Rn
-
Marotto F.R. Snap-back repellers imply chaos in Rn. J. Math. Anal. Appl. 1978, 63:199-223.
-
(1978)
J. Math. Anal. Appl.
, vol.63
, pp. 199-223
-
-
Marotto, F.R.1
-
34
-
-
13544263211
-
On redefining a snap-back repeller
-
Marotto F.R. On redefining a snap-back repeller. Chaos Solitons Fractals 2005, 25:25-28.
-
(2005)
Chaos Solitons Fractals
, vol.25
, pp. 25-28
-
-
Marotto, F.R.1
-
35
-
-
0037507291
-
Global exponential stability in discrete-time analogues of delayed cellular neural networks
-
Mohamad S. Global exponential stability in discrete-time analogues of delayed cellular neural networks. J. Difference Equations Appl. 2003, 9(6):559-575.
-
(2003)
J. Difference Equations Appl.
, vol.9
, Issue.6
, pp. 559-575
-
-
Mohamad, S.1
-
36
-
-
0013046313
-
Dynamics of a class of discrete-time neural networks and their continuous-time counterparts
-
Mohamad S., Gopalsamy K. Dynamics of a class of discrete-time neural networks and their continuous-time counterparts. Math. Comput. Simulation 2000, 53(1):1-39.
-
(2000)
Math. Comput. Simulation
, vol.53
, Issue.1
, pp. 1-39
-
-
Mohamad, S.1
Gopalsamy, K.2
-
37
-
-
0036147916
-
Discrete-time analogues of integrodifferential equations modelling bidirectional neural networks
-
Mohamad S., Naim A. Discrete-time analogues of integrodifferential equations modelling bidirectional neural networks. J. Comput. Appl. Math. 2002, 138(1):1-20.
-
(2002)
J. Comput. Appl. Math.
, vol.138
, Issue.1
, pp. 1-20
-
-
Mohamad, S.1
Naim, A.2
-
38
-
-
24044514345
-
Stability for non-hyperbolic fixed points of scalar difference equations
-
Murakami K. Stability for non-hyperbolic fixed points of scalar difference equations. J. Difference Equations Appl. 2005, 310(2):492-505.
-
(2005)
J. Difference Equations Appl.
, vol.310
, Issue.2
, pp. 492-505
-
-
Murakami, K.1
-
40
-
-
34247193955
-
Discrete chaos in Banach spaces
-
(Chinese version; English version: Science China Series A 48 (2005) 222-238)
-
Shi Y., Chen G. Discrete chaos in Banach spaces. Sci. China Ser. A 2004, 34:595-609. (Chinese version; English version: Science China Series A 48 (2005) 222-238).
-
(2004)
Sci. China Ser. A
, vol.34
, pp. 595-609
-
-
Shi, Y.1
Chen, G.2
-
41
-
-
78650265550
-
Bifurcation analysis in a discrete BAM network model with delays
-
Shu H., Wei J. Bifurcation analysis in a discrete BAM network model with delays. J. Difference Equations Appl. 2011, 17(1):69-84.
-
(2011)
J. Difference Equations Appl.
, vol.17
, Issue.1
, pp. 69-84
-
-
Shu, H.1
Wei, J.2
-
43
-
-
0022721216
-
Simple neural optimization networks: an A/D converter, signal decision circuit and a linear programming circuit
-
Tank D., Hopfield J. Simple neural optimization networks: an A/D converter, signal decision circuit and a linear programming circuit. IEEE Trans. Circuits Syst. 1986, 33(5):533-541.
-
(1986)
IEEE Trans. Circuits Syst.
, vol.33
, Issue.5
, pp. 533-541
-
-
Tank, D.1
Hopfield, J.2
-
44
-
-
45949107767
-
Bifurcation analysis on a discrete model of Nicholson's blowflies
-
Wang C., Wei J. Bifurcation analysis on a discrete model of Nicholson's blowflies. J. Difference Equations Appl. 2008, 14(7):737-746.
-
(2008)
J. Difference Equations Appl.
, vol.14
, Issue.7
, pp. 737-746
-
-
Wang, C.1
Wei, J.2
-
46
-
-
48249119467
-
Bifurcation analysis of a class of neural networks with delays
-
Wei J., Zhang C. Bifurcation analysis of a class of neural networks with delays. Nonlinear Anal.: Real World Appl. 2008, 9(5):2234-2252.
-
(2008)
Nonlinear Anal.: Real World Appl.
, vol.9
, Issue.5
, pp. 2234-2252
-
-
Wei, J.1
Zhang, C.2
-
47
-
-
38049039264
-
Complicated dynamics of a ring neural network with time delays
-
Xu X. Complicated dynamics of a ring neural network with time delays. J. Phys. A: Math. Theor. 2008, 41(3):1-23.
-
(2008)
J. Phys. A: Math. Theor.
, vol.41
, Issue.3
, pp. 1-23
-
-
Xu, X.1
-
48
-
-
12244292715
-
Stability and bifurcation analysis on a discrete-time system of two neurons
-
Yuan Z., Huang L., Hu D. Stability and bifurcation analysis on a discrete-time system of two neurons. Appl. Math. Lett. 2004, 17(11):1239-1245.
-
(2004)
Appl. Math. Lett.
, vol.17
, Issue.11
, pp. 1239-1245
-
-
Yuan, Z.1
Huang, L.2
Hu, D.3
-
49
-
-
12544255684
-
Stability and bifurcation analysis on a discrete-time neural network
-
Yuan Z., Huang L., Hu D. Stability and bifurcation analysis on a discrete-time neural network. J. Comput. Appl. Math. 2005, 177(1):89-100.
-
(2005)
J. Comput. Appl. Math.
, vol.177
, Issue.1
, pp. 89-100
-
-
Yuan, Z.1
Huang, L.2
Hu, D.3
-
50
-
-
13544249602
-
Hopf bifurcation in numerical approximation of a n-dimension neural network model with multi-delays
-
Zhang C., Zheng B. Hopf bifurcation in numerical approximation of a n-dimension neural network model with multi-delays. Chaos Solitons Fractals 2005, 25(1):129-146.
-
(2005)
Chaos Solitons Fractals
, vol.25
, Issue.1
, pp. 129-146
-
-
Zhang, C.1
Zheng, B.2
-
51
-
-
33748434366
-
Stability and bifurcation of a two-dimension discrete neural network model with multi-delays
-
Zhang C., Zheng B. Stability and bifurcation of a two-dimension discrete neural network model with multi-delays. Chaos Solitons Fractals 2007, 31(5):1232-1242.
-
(2007)
Chaos Solitons Fractals
, vol.31
, Issue.5
, pp. 1232-1242
-
-
Zhang, C.1
Zheng, B.2
|