-
1
-
-
84907018193
-
Hopfield-type neural networks systems with piecewise constant argument
-
Akhmet, M.U., Yimaz, E.: Hopfield-type neural networks systems with piecewise constant argument. Int. J. Qual. Theory Differ. Equ. Appl. 3(1-2), 8-14 (2009)
-
(2009)
Int. J. Qual. Theory Differ. Equ. Appl.
, vol.3
, Issue.1-2
, pp. 8-14
-
-
Akhmet, M.U.1
Yimaz, E.2
-
2
-
-
77955056707
-
Stability analysis of recurrent neural networks with piecewise constant argument of generalized type
-
Akhmet, M.U., Arugaslan, D., Yimaz, E.: Stability analysis of recurrent neural networks with piecewise constant argument of generalized type. Neural Netw. 23, 805-811 (2010)
-
(2010)
Neural Netw.
, vol.23
, pp. 805-811
-
-
Akhmet, M.U.1
Arugaslan, D.2
Yimaz, E.3
-
3
-
-
0030081051
-
Frustration, stability, and delay-induced oscillations in a neural network model
-
Belair, J., Campbell, S.A., Van den Driessche, P.: Frustration, stability, and delay-induced oscillations in a neural network model. SIAM J. Appl. Math. 56, 245-255 (1996)
-
(1996)
SIAM J. Appl. Math.
, vol.56
, pp. 245-255
-
-
Belair, J.1
Campbell, S.A.2
Van Den Driessche, P.3
-
4
-
-
0000153927
-
Models of vertically transmitted diseases with sequential-continuous dynamics
-
Lakshmikantham, V. (ed.) Academic Press, New York
-
Busenberg, S., Cooke, K.: Models of vertically transmitted diseases with sequential-continuous dynamics. In: Lakshmikantham, V. (ed.) Nonlinear Phenomena in Mathematical Sciences, pp. 179-187. Academic Press, New York (1982)
-
(1982)
Nonlinear Phenomena in Mathematical Sciences
, pp. 179-187
-
-
Busenberg, S.1
Cooke, K.2
-
5
-
-
16244385615
-
Delayed coupling between two neural network loops
-
Campbell, S.A., Edwards, R., Van den Driessche, P.: Delayed coupling between two neural network loops. SIAM J. Appl. Math. 65, 316-335 (2004)
-
(2004)
SIAM J. Appl. Math.
, vol.65
, pp. 316-335
-
-
Campbell, S.A.1
Edwards, R.2
Van Den Driessche, P.3
-
6
-
-
0034309351
-
Global asymptotic stability of neural networks with transmission delays
-
Cao, J.: Global asymptotic stability of neural networks with transmission delays. Int. J. Syst. Sci. 31, 1313-1316 (2000)
-
(2000)
Int. J. Syst. Sci.
, vol.31
, pp. 1313-1316
-
-
Cao, J.1
-
7
-
-
3442880393
-
Boundedness and stability for Cohen-Grossberg neural network with time-varying delays
-
Cao, J., Liang, J.: Boundedness and stability for Cohen-Grossberg neural network with time-varying delays. J. Math. Anal. Appl. 296, 665-685 (2004)
-
(2004)
J. Math. Anal. Appl.
, vol.296
, pp. 665-685
-
-
Cao, J.1
Liang, J.2
-
8
-
-
0009274493
-
Dynamical behaviour of neural networks
-
Ch, E.G.: Dynamical behaviour of neural networks. SIAM J. Algebr. Discrete Methods 6, 749-754 (1985)
-
(1985)
SIAM J. Algebr. Discrete Methods
, vol.6
, pp. 749-754
-
-
Ch, E.G.1
-
9
-
-
33747179498
-
Multistability in recurrent neural networks
-
Cheng, C.-Y., Lin, K.-H., Shih, C.-W.: Multistability in recurrent neural networks. SIAM J. Appl. Math. 66, 1301-1320 (2006)
-
(2006)
SIAM J. Appl. Math.
, vol.66
, pp. 1301-1320
-
-
Cheng, C.-Y.1
Lin, K.-H.2
Shih, C.-W.3
-
10
-
-
85084771702
-
Stability of oscillatory solutions of differential equations with a general piecewise constant argument
-
Chiu, K.-S.: Stability of oscillatory solutions of differential equations with a general piecewise constant argument. Electron. J. Qual. Theory Differ. Equ. 88, 1-15 (2011)
-
(2011)
Electron. J. Qual. Theory Differ. Equ.
, vol.88
, pp. 1-15
-
-
Chiu, K.-S.1
-
11
-
-
84907018128
-
Periodic solutions for nonlinear integro-differential systems with piecewise constant argument
-
to appear
-
Chiu, K.-S.: Periodic solutions for nonlinear integro-differential systems with piecewise constant argument. Sci. World J. (2013, to appear)
-
(2013)
Sci. World J.
-
-
Chiu, K.-S.1
-
12
-
-
84897772726
-
Existence and global exponential stability of equilibrium for impulsive cellular neural network models with piecewise alternately advanced and retarded argument
-
to appear
-
Chiu, K.-S.: Existence and global exponential stability of equilibrium for impulsive cellular neural network models with piecewise alternately advanced and retarded argument. Abstr. Appl. Anal. (2013, to appear)
-
(2013)
Abstr. Appl. Anal.
-
-
Chiu, K.-S.1
-
13
-
-
84907018092
-
Stability of periodic solutions for neural networks with a general piecewise constant argument
-
Chiu, K.-S., Pinto, M.: Stability of periodic solutions for neural networks with a general piecewise constant argument. In: First Joint International Meeting AMS-SOMACHI, Pucón, Chile, December 15-18 (2010)
-
First Joint International Meeting AMS-SOMACHI, Pucón, Chile, December 15-18 (2010)
-
-
Chiu, K.-S.1
Pinto, M.2
-
14
-
-
77956946076
-
Periodic solutions of differential equations with a general piecewise constant argument and applications
-
Chiu, K.-S., Pinto, M.: Periodic solutions of differential equations with a general piecewise constant argument and applications. Electron. J. Qual. Theory Differ. Equ. 46, 1-19 (2010)
-
(2010)
Electron. J. Qual. Theory Differ. Equ.
, vol.46
, pp. 1-19
-
-
Chiu, K.-S.1
Pinto, M.2
-
15
-
-
80052440805
-
Variation of parameters formula and Gronwall inequality for differential equations with a general piecewise constant argument
-
Chiu, K.-S., Pinto, M.: Variation of parameters formula and Gronwall inequality for differential equations with a general piecewise constant argument. Acta Math. Appl. Sin. 27(4), 561-568 (2011)
-
(2011)
Acta Math. Appl. Sin.
, vol.27
, Issue.4
, pp. 561-568
-
-
Chiu, K.-S.1
Pinto, M.2
-
16
-
-
84880109069
-
Oscillatory and periodic solutions in alternately advanced and delayed differential equations
-
Chiu, K.-S., Pinto, M.: Oscillatory and periodic solutions in alternately advanced and delayed differential equations. Carpath. J. Math. 29(2), 149-158 (2013)
-
(2013)
Carpath. J. Math.
, vol.29
, Issue.2
, pp. 149-158
-
-
Chiu, K.-S.1
Pinto, M.2
-
18
-
-
0024092072
-
Cellular neural networks: Applications
-
Chua, L.O., Yang, L.: Cellular neural networks: applications. IEEE Trans. Circuits Syst. 35, 1273-1290 (1988)
-
(1988)
IEEE Trans. Circuits Syst.
, vol.35
, pp. 1273-1290
-
-
Chua, L.O.1
Yang, L.2
-
19
-
-
0027569219
-
On stability of cellular neural networks with delay
-
Civalleri, P.P., Gilli, M., Pandolfi, L.: On stability of cellular neural networks with delay. IEEE Trans. Circuits Syst. I 40, 157-164 (1993)
-
(1993)
IEEE Trans. Circuits Syst. I
, vol.40
, pp. 157-164
-
-
Civalleri, P.P.1
Gilli, M.2
Pandolfi, L.3
-
20
-
-
0008402812
-
Retarded differential equations with piecewise constant delays
-
Cooke, K.L., Wiener, J.: Retarded differential equations with piecewise constant delays. J. Math. Anal. Appl. 99, 265-297 (1984)
-
(1984)
J. Math. Anal. Appl.
, vol.99
, pp. 265-297
-
-
Cooke, K.L.1
Wiener, J.2
-
21
-
-
84968468793
-
An equation alternately of retarded and advanced type
-
Cooke, K.L., Wiener, J.: An equation alternately of retarded and advanced type. Proc. Am. Math. Soc. 99, 726-732 (1987)
-
(1987)
Proc. Am. Math. Soc.
, vol.99
, pp. 726-732
-
-
Cooke, K.L.1
Wiener, J.2
-
22
-
-
0002099636
-
A survey of differential equations with piecewise continuous argument
-
Springer, Berlin
-
Cooke, K.L., Wiener, J.: A survey of differential equations with piecewise continuous argument. In: Lecture Notes in Math., vol. 1475, pp. 1-15. Springer, Berlin (1991)
-
(1991)
Lecture Notes in Math.
, vol.1475
, pp. 1-15
-
-
Cooke, K.L.1
Wiener, J.2
-
23
-
-
0021372970
-
Period doublings and possible chaos in neural models
-
Ermentrout, G.B.: Period doublings and possible chaos in neural models. SIAM J. Appl.Math. 44, 80-95 (1984)
-
(1984)
SIAM J. Appl.Math.
, vol.44
, pp. 80-95
-
-
Ermentrout, G.B.1
-
24
-
-
0020118274
-
Neural networks and physical systems with emergent collective computational abilities
-
Hopfield, J.J.: Neural networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. USA 79(8), 2554-2558 (1982)
-
(1982)
Proc. Natl. Acad. Sci. USA
, vol.79
, Issue.8
, pp. 2554-2558
-
-
Hopfield, J.J.1
-
25
-
-
30944452132
-
The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks
-
Huang, Z.K., Wang, X.H., Gao, F.: The existence and global attractivity of almost periodic sequence solution of discrete-time neural networks. Phys. Lett. A 350, 182-191 (2006)
-
(2006)
Phys. Lett. A
, vol.350
, pp. 182-191
-
-
Huang, Z.K.1
Wang, X.H.2
Gao, F.3
-
26
-
-
34848827472
-
Stability of Cohen-Grossberg neural networks with time-varying delays
-
Huang, T., Chan, A., Huang, Y., Cao, J.: Stability of Cohen-Grossberg neural networks with time-varying delays. Neural Netw. 20, 868-873 (2007)
-
(2007)
Neural Netw.
, vol.20
, pp. 868-873
-
-
Huang, T.1
Chan, A.2
Huang, Y.3
Cao, J.4
-
27
-
-
34548211462
-
The existence and exponential attractivity of κ-almost periodic sequence solution of discrete time neural networks
-
Huang, Z.K., Xia, Y.H., Wang, X.H.: The existence and exponential attractivity of κ-almost periodic sequence solution of discrete time neural networks. Nonlinear Dyn. 50, 13-26 (2007)
-
(2007)
Nonlinear Dyn.
, vol.50
, pp. 13-26
-
-
Huang, Z.K.1
Xia, Y.H.2
Wang, X.H.3
-
28
-
-
56549097054
-
Stability of periodic solution in fuzzy BAM neural networks with finite distributed delays
-
Huang, T., Huang, Y., Li, C.: Stability of periodic solution in fuzzy BAM neural networks with finite distributed delays. Neurocomputing 71, 3064-3069 (2008)
-
(2008)
Neurocomputing
, vol.71
, pp. 3064-3069
-
-
Huang, T.1
Huang, Y.2
Li, C.3
-
29
-
-
77956012584
-
New results on exponential attractivity of multiple almost periodic solutions of cellular neural networks with time-varying delays
-
Huang, Z.K., Mohamad, S., Feng, C.H.: New results on exponential attractivity of multiple almost periodic solutions of cellular neural networks with time-varying delays. Math. Comput. Model. 52, 1521-1531 (2010)
-
(2010)
Math. Comput. Model.
, vol.52
, pp. 1521-1531
-
-
Huang, Z.K.1
Mohamad, S.2
Feng, C.H.3
-
30
-
-
44849101168
-
Exponential convergence behavior of solutions to shunting inhibitory cellular neural networks with delays and time-varying coefficients
-
Li, Y., Huang, L.: Exponential convergence behavior of solutions to shunting inhibitory cellular neural networks with delays and time-varying coefficients. Math. Comput. Model. 48, 499-504 (2008)
-
(2008)
Math. Comput. Model.
, vol.48
, pp. 499-504
-
-
Li, Y.1
Huang, L.2
-
31
-
-
33749533792
-
Global exponential stability analysis on impulsive BAM neural networks with distributed delays
-
Li, Y.-t., Yang, C.-b.: Global exponential stability analysis on impulsive BAM neural networks with distributed delays. J. Math. Anal. Appl. 324, 1125-1139 (2006)
-
(2006)
J. Math. Anal. Appl.
, vol.324
, pp. 1125-1139
-
-
Li, Y.-T.1
Yang, C.-B.2
-
32
-
-
33644674010
-
Improved global exponential stability criteria of cellular neural networks with time-varying delays
-
Liu, Q., Cao, J.: Improved global exponential stability criteria of cellular neural networks with time-varying delays. Math. Comput. Model. 43, 423-432 (2006)
-
(2006)
Math. Comput. Model.
, vol.43
, pp. 423-432
-
-
Liu, Q.1
Cao, J.2
-
33
-
-
0035427259
-
Stability analysis of Hopfield neural networks with uncertainty
-
Liu, X., Dickson, R.: Stability analysis of Hopfield neural networks with uncertainty. Math. Comput. Model. 34, 353-363 (2001)
-
(2001)
Math. Comput. Model.
, vol.34
, pp. 353-363
-
-
Liu, X.1
Dickson, R.2
-
34
-
-
1242322176
-
Existence and global exponential stability of periodic solutions of cellular neural networks with time-varying delays
-
Liu, Z., Liao, L.: Existence and global exponential stability of periodic solutions of cellular neural networks with time-varying delays. J. Math. Anal. Appl. 290, 247-262 (2004)
-
(2004)
J. Math. Anal. Appl.
, vol.290
, pp. 247-262
-
-
Liu, Z.1
Liao, L.2
-
35
-
-
77953133714
-
Numerical simulation of periodic solutions for a class of numerical discretization neural networks
-
Lu, C., Ding, X., Liu, M.: Numerical simulation of periodic solutions for a class of numerical discretization neural networks. Math. Comput. Model. 52, 386-396 (2010)
-
(2010)
Math. Comput. Model.
, vol.52
, pp. 386-396
-
-
Lu, C.1
Ding, X.2
Liu, M.3
-
36
-
-
67349211767
-
Global asymptotic stability for neural network models with distributed delays
-
Oliveira, J.J.: Global asymptotic stability for neural network models with distributed delays. Math. Comput. Model. 50, 81-91 (2009)
-
(2009)
Math. Comput. Model.
, vol.50
, pp. 81-91
-
-
Oliveira, J.J.1
-
37
-
-
63449115192
-
Asymptotic equivalence of nonlinear and quasilinear differential equations with piecewise constant arguments
-
Pinto, M.: Asymptotic equivalence of nonlinear and quasilinear differential equations with piecewise constant arguments. Math. Comput. Model. 49, 1750-1758 (2009)
-
(2009)
Math. Comput. Model.
, vol.49
, pp. 1750-1758
-
-
Pinto, M.1
-
38
-
-
79952931948
-
Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems
-
Pinto, M.: Cauchy and Green matrices type and stability in alternately advanced and delayed differential systems. J. Differ. Equ. Appl. 17(2), 235-254 (2011)
-
(2011)
J. Differ. Equ. Appl.
, vol.17
, Issue.2
, pp. 235-254
-
-
Pinto, M.1
-
39
-
-
84872778115
-
Advanced differential equations with piecewise constant argument deviations
-
Shah, S.M., Wiener, J.: Advanced differential equations with piecewise constant argument deviations. Int. J. Math. Math. Sci. 6, 671-703 (1983)
-
(1983)
Int. J. Math. Math. Sci.
, vol.6
, pp. 671-703
-
-
Shah, S.M.1
Wiener, J.2
-
40
-
-
0019045458
-
Boundary effects in neural networks
-
Sirovich, L.: Boundary effects in neural networks. SIAM J. Appl. Math. 39, 142-160 (1980)
-
(1980)
SIAM J. Appl. Math.
, vol.39
, pp. 142-160
-
-
Sirovich, L.1
-
41
-
-
0031077119
-
Partial synchronization in a network of neural oscillators
-
Terman, D., Lee, E.: Partial synchronization in a network of neural oscillators. SIAM J. Appl. Math. 57, 252-293 (1997)
-
(1997)
SIAM J. Appl. Math.
, vol.57
, pp. 252-293
-
-
Terman, D.1
Lee, E.2
-
42
-
-
0032298907
-
Global attractivity in delayed Hopfield neural network models
-
Van den Driessche, P., Zou, X.: Global attractivity in delayed Hopfield neural network models. SIAM J. Appl. Math. 58, 1878-1890 (1998)
-
(1998)
SIAM J. Appl. Math.
, vol.58
, pp. 1878-1890
-
-
Van Den Driessche, P.1
Zou, X.2
-
43
-
-
41549138695
-
Global exponential stability of Cohen-Grossberg neural networks with distributed delays
-
Wu, W., Tong Cui, B., Yang Lou, X.: Global exponential stability of Cohen-Grossberg neural networks with distributed delays. Math. Comput. Model. 47, 868-873 (2008)
-
(2008)
Math. Comput. Model.
, vol.47
, pp. 868-873
-
-
Wu, W.1
Tong Cui, B.2
Yang Lou, X.3
-
44
-
-
0042772392
-
Differential equations with piecewise constant delays
-
Lakshmikantham, V. (ed.) Dekker, New York
-
Wiener, J.: Differential equations with piecewise constant delays. In: Lakshmikantham, V. (ed.) Trends in the Theory and Practice of Nonlinear Differential Equations, pp. 547-580. Dekker, New York (1983)
-
(1983)
Trends in the Theory and Practice of Nonlinear Differential Equations
, pp. 547-580
-
-
Wiener, J.1
-
46
-
-
84855201545
-
New results on global exponential stability for impulsive cellular neural networks with any bounded time-varying delays
-
Wu, B., Liu, Y., Lu, J.: New results on global exponential stability for impulsive cellular neural networks with any bounded time-varying delays. Math. Comput. Model. 55, 837-843 (2012)
-
(2012)
Math. Comput. Model.
, vol.55
, pp. 837-843
-
-
Wu, B.1
Liu, Y.2
Lu, J.3
-
47
-
-
0034849714
-
Global exponential stability of delayed Hopfield neural networks
-
Xu, S., Chu, Y., Lu, J.: Global exponential stability of delayed Hopfield neural networks. Neural Netw. 14, 977-980 (2001)
-
(2001)
Neural Netw.
, vol.14
, pp. 977-980
-
-
Xu, S.1
Chu, Y.2
Lu, J.3
-
48
-
-
0036737354
-
An analysis of global asymptotic stability of delayed cellular neural networks
-
Xu, S., Chu, Y., Lu, J.: An analysis of global asymptotic stability of delayed cellular neural networks. IEEE Trans. Neural Netw. 13, 1239-1242 (2002)
-
(2002)
IEEE Trans. Neural Netw.
, vol.13
, pp. 1239-1242
-
-
Xu, S.1
Chu, Y.2
Lu, J.3
-
49
-
-
41549133917
-
Existence and exponential stability of almost-periodic solutions for high-order Hopfield neural networks
-
Yu, Y., Cai, M.: Existence and exponential stability of almost-periodic solutions for high-order Hopfield neural networks. Math. Comput. Model. 47, 943-951 (2008)
-
(2008)
Math. Comput. Model.
, vol.47
, pp. 943-951
-
-
Yu, Y.1
Cai, M.2
-
50
-
-
43449091550
-
Existence and global convergence of periodic solution of delayed neural networks
-
Yuan, Z., Yuan, L.: Existence and global convergence of periodic solution of delayed neural networks. Math. Comput. Model. 48, 101-113 (2008)
-
(2008)
Math. Comput. Model.
, vol.48
, pp. 101-113
-
-
Yuan, Z.1
Yuan, L.2
-
51
-
-
33846342654
-
Exponential stability and periodicity of cellular neural networks with time delay
-
Zhong, S., Liu, X.: Exponential stability and periodicity of cellular neural networks with time delay. Math. Comput. Model. 45, 1231-1240 (2007) Tecnológico
-
(2007)
Math. Comput. Model.
, vol.45
, pp. 1231-1240
-
-
Zhong, S.1
Liu, X.2
|