-
1
-
-
0030594503
-
On the existence and global bifurcation of periodic solutions to planar differential delay equations
-
M.Z. Baptistini, P.Z. Táboas, On the existence and global bifurcation of periodic solutions to planar differential delay equations, J. Differential Equations 127 (1996) 391-425.
-
(1996)
J. Differential Equations
, vol.127
, pp. 391-425
-
-
Baptistini, M.Z.1
Táboas, P.Z.2
-
2
-
-
0001026375
-
Stability in a model of a delayed neural network
-
J. Bélair, Stability in a model of a delayed neural network, J. Dyn. Differential Equations 5 (1993) 607-623.
-
(1993)
J. Dyn. Differential Equations
, vol.5
, pp. 607-623
-
-
Bélair, J.1
-
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. 46 (1996) 245-255.
-
(1996)
SIAM J. Appl. Math.
, vol.46
, pp. 245-255
-
-
Bélair, J.1
Campbell, S.A.2
van den Driessche, P.3
-
4
-
-
0001115830
-
Minimal instability and unstable set of a phase-locked orbit in a delayed neural network
-
Y. Chen, J. Wu, Minimal instability and unstable set of a phase-locked 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
-
5
-
-
0038346772
-
Existence and attraction of a phase-locked oscillation in a delayed network of two neurons
-
Y. Chen, J. Wu, Existence and attraction of a phase-locked oscillation in a delayed network of two neurons, Differential Integral Equations 14 (2001) 1181-1236.
-
(2001)
Differential Integral Equations
, vol.14
, pp. 1181-1236
-
-
Chen, Y.1
Wu, J.2
-
6
-
-
0034629673
-
Connecting orbits from synchronous periodic solutions to phase-locked periodic solutions in a delay differential system
-
Y. Chen, J. Wu, T. Krisztin, Connecting orbits from synchronous periodic solutions to phase-locked periodic solutions in a delay differential system, J. Differential Equations 163 (2000) 130-173.
-
(2000)
J. Differential Equations
, vol.163
, pp. 130-173
-
-
Chen, Y.1
Wu, J.2
Krisztin, T.3
-
8
-
-
0024092072
-
Cellular neural networks: Applications
-
L.O. Chua, L. Yang, Cellular neural networks: applications, IEEE Trans. Circuits Systems 35 (1988) 1273-1290.
-
(1988)
IEEE Trans. Circuits Systems
, vol.35
, pp. 1273-1290
-
-
Chua, L.O.1
Yang, L.2
-
9
-
-
0020970741
-
Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
-
M.A. Cohn, S. Grossberg, Absolute stability of global pattern formation and parallel memory storage by competitive neural networks, IEEE Trans. Systems Man Cybernet. 13 (1983) 815-826.
-
(1983)
IEEE Trans. Systems Man Cybernet.
, vol.13
, pp. 815-826
-
-
Cohn, M.A.1
Grossberg, S.2
-
10
-
-
0003687337
-
Delay Equations, Functional-, Complex-, and Nonlinear Analysis
-
Springer, New York
-
O. Diekmann, S.A. van Gils, S.M. Verduyn Lunel, H.-O. Walther, Delay Equations, Functional-, Complex-, and Nonlinear Analysis, Springer, New York, 1995.
-
(1995)
-
-
Diekmann, O.1
van Gils, S.A.2
Verduyn Lunel, S.M.3
Walther, H.-O.4
-
11
-
-
22244473030
-
Delay induced periodicity in a neural net of excitation and inhibition
-
K. Gopalsamy, I. Leung, Delay induced periodicity in a neural net 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
-
-
0003492055
-
Introduction to Functional Differential Equations
-
Springer, New York
-
J. Hale, S.M. Verduyn Lunel, Introduction to Functional Differential Equations, Springer, New York, 1993.
-
(1993)
-
-
Hale, J.1
Verduyn Lunel, S.M.2
-
13
-
-
0142109863
-
Global analysis of parallel analog networks with retarded feedback
-
A.V.M. Herz, Global analysis of parallel analog networks with retarded feedback, Phys. Rev. E 44 (1991) 1415-1418.
-
(1991)
Phys. Rev. E
, vol.44
, pp. 1415-1418
-
-
Herz, A.V.M.1
-
14
-
-
0002553309
-
Spatiotemporal association in neural networks
-
A.A. Arbib (Ed.), The MIT Press, London
-
A.V.M. Herz, Spatiotemporal association in neural networks, in: A.A. Arbib (Ed.), The Handbook of Brain Theory and Neural Networks, The MIT Press, London, 1998, pp. 902-905.
-
(1998)
The Handbook of Brain Theory and Neural Networks
, pp. 902-905
-
-
Herz, A.V.M.1
-
15
-
-
0001583955
-
Statistical mechanics of temporal association in neural networks with transmission delays
-
A.V.M. Herz, Z. Li, J.L. van Hemmen, Statistical mechanics of temporal association in neural networks with transmission delays, Phys. Rev. Lett. 66 (1991) 1370-1373.
-
(1991)
Phys. Rev. Lett.
, vol.66
, pp. 1370-1373
-
-
Herz, A.V.M.1
Li, Z.2
van Hemmen, J.L.3
-
16
-
-
0024599171
-
Hebbian learning reconsidered: Representation of static and dynamic objects in associative neural nets
-
A.V.M. Herz, B. Sulzer, R. Kuehn, J.L. van Hemmen, Hebbian learning reconsidered: representation of static and dynamic objects in associative neural nets, Biol. Cybernet. 60 (1989) 457-467.
-
(1989)
Biol. Cybernet.
, vol.60
, pp. 457-467
-
-
Herz, A.V.M.1
Sulzer, B.2
Kuehn, R.3
van Hemmen, J.L.4
-
17
-
-
0004469897
-
Neurons with graded response have collective computational properties like those of two-stage neurons
-
J.J. Hopfiled, Neurons with graded response have collective computational properties like those of two-stage neurons, Proc. Nat. Acad. Sci. 81 (1984) 3088-3092.
-
(1984)
Proc. Nat. Acad. Sci.
, vol.81
, pp. 3088-3092
-
-
Hopfiled, J.J.1
-
18
-
-
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 Math. Anal. Appl. 34 (4) (2003) 836-860.
-
(2003)
SIAM Math. Anal. Appl.
, vol.34
, Issue.4
, pp. 836-860
-
-
Huang, L.1
Wu, J.2
-
19
-
-
0002649098
-
The adaptation and the relation between discharge frequency and current strength of cat lumbosacral motoneurones stimulated by long lasting injected currents
-
D. Kernell, The adaptation and the relation between discharge frequency and current strength of cat lumbosacral motoneurones stimulated by long lasting injected currents, Acta Physiol. Scand. 65 (1965) 65-73.
-
(1965)
Acta Physiol. Scand.
, vol.65
, pp. 65-73
-
-
Kernell, D.1
-
20
-
-
0037531009
-
Sequential state generation by model neural networks
-
D. Kleinfeld, Sequential state generation by model neural networks, Proc. Nat. Acad. Sci. USA 83 (1986) 9469-9473.
-
(1986)
Proc. Nat. Acad. Sci. USA
, vol.83
, pp. 9469-9473
-
-
Kleinfeld, D.1
-
21
-
-
0003551974
-
Shape, Smoothness and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback
-
American Mathematical Society, Providence
-
T. Krisztin. H.-O. Walther, J. Wu, Shape, Smoothness and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback, American Mathematical Society, Providence, 1999.
-
(1999)
-
-
Krisztin, T.1
Walther, H.-O.2
Wu, J.3
-
22
-
-
0003462817
-
Introduction to Neural and Cognitive Modelling
-
Lawrence Erlbaum Associate Inc., New Jersey
-
D.S. Levine, Introduction to Neural and Cognitive Modelling, Lawrence Erlbaum Associate Inc., New Jersey, 1991.
-
(1991)
-
-
Levine, D.S.1
-
23
-
-
0030102662
-
Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions
-
J. Mallet-Paret, G. Sell, Systems of differential delay equations: floquet multipliers and discrete Lyapunov functions, J. Differential Equations 125 (1996) 380-440.
-
(1996)
J. Differential Equations
, vol.125
, pp. 380-440
-
-
Mallet-Paret, J.1
Sell, G.2
-
24
-
-
0030102885
-
The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
-
J. Mallet-Paret, G. Sell, The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay, J. Differential Equations 125 (1996) 441-489.
-
(1996)
J. Differential Equations
, vol.125
, pp. 441-489
-
-
Mallet-Paret, J.1
Sell, G.2
-
25
-
-
0000380827
-
Nonlinear dynamics and stability of analog neural networks
-
C.M. Marcus, F.R. Waugh, R.M. Westervelt, Nonlinear dynamics and stability of analog neural networks, Physica D 51 (1991) 234-247.
-
(1991)
Physica D
, vol.51
, pp. 234-247
-
-
Marcus, C.M.1
Waugh, F.R.2
Westervelt, R.M.3
-
26
-
-
0000256610
-
Stability of analog neural networks with delay
-
C.M. Marcus, R.M. Westervelt, Stability of analog neural networks 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
-
27
-
-
51249194645
-
A logical calculus of the ideas immanent in nervous activity
-
W. McCulloch, W. Pitts, A logical calculus of the ideas immanent in nervous activity, Bull. Math. Biophys. 5 (1943) 115-133.
-
(1943)
Bull. Math. Biophys.
, vol.5
, pp. 115-133
-
-
McCulloch, W.1
Pitts, W.2
-
29
-
-
0142109862
-
Functional differential equations
-
B. Fielder (Ed.), Elsevier Science, Berlin
-
R. Nussbaum, Functional differential equations, in: B. Fielder (Ed.), Handbook of Dynamical Systems, Elsevier Science, Berlin, 2002.
-
(2002)
Handbook of Dynamical Systems
-
-
Nussbaum, R.1
-
30
-
-
0142014556
-
Experimental monosynaptic input-output relations in the mammalian spinal cord
-
W. Rall, Experimental monosynaptic input-output relations in the mammalian spinal cord, J. Cell. Comput. Physiol. 46 (1955) 413-437.
-
(1955)
J. Cell. Comput. Physiol.
, vol.46
, pp. 413-437
-
-
Rall, W.1
-
31
-
-
33746961598
-
Periodic solutions of planar systems with two delays
-
S. Ruan, J. Wei, Periodic solutions of planar systems with two delays, Proc. Roy. Soc. Edinburgh 129A (1999) 1017-1032.
-
(1999)
Proc. Roy. Soc. Edinburgh
, vol.129 A
, pp. 1017-1032
-
-
Ruan, S.1
Wei, J.2
-
32
-
-
0001243427
-
Monotone semiflows generated by functional differential equations
-
H.L. Smith, Monotone semiflows generated by functional differential equations, J. Differential Equations 66 (1987) 420-442.
-
(1987)
J. Differential Equations
, vol.66
, pp. 420-442
-
-
Smith, H.L.1
-
33
-
-
0001553626
-
Temporal association in asymmetric neural networks
-
H. Sompolinsky, I. Kanter, Temporal association in asymmetric neural networks, Phys. Rev. Lett. 57 (1986) 2861-2864.
-
(1986)
Phys. Rev. Lett.
, vol.57
, pp. 2861-2864
-
-
Sompolinsky, H.1
Kanter, I.2
-
34
-
-
0002885593
-
Periodic solutions of a planar delay equation
-
P. Táboas, Periodic solutions of a planar delay equation, Proc. Roy. Soc. Edinburgh 116A (1990) 85-101.
-
(1990)
Proc. Roy. Soc. Edinburgh
, vol.116 A
, pp. 85-101
-
-
Táboas, P.1
-
35
-
-
0023317858
-
Neural computation by concentrating information in time
-
D. Tank, J.J. Hopfield, Neural computation by concentrating information in time, Proc. Nat. Acad. Sci. USA 84 (1987) 1896-1900.
-
(1987)
Proc. Nat. Acad. Sci. USA
, vol.84
, pp. 1896-1900
-
-
Tank, D.1
Hopfield, J.J.2
-
36
-
-
0035608901
-
Contracting return maps for monotone delayed feedback
-
H.-O. Walther, Contracting return maps for monotone delayed feedback, Discrete Continuous Dyn. Systems 7 (2001) 259-274.
-
(2001)
Discrete Continuous Dyn. Systems
, vol.7
, pp. 259-274
-
-
Walther, H.-O.1
-
37
-
-
0010665697
-
Contracting return maps for some delay differential equations
-
T. Faria, P. Freitas (Eds.), American Mathematical Society, Providence
-
H.-O. Walther, Contracting return maps for some delay differential equations, in: T. Faria, P. Freitas (Eds.), Topics in Functional Differential Difference Equations, Fields Institute Communications, Vol. 29, American Mathematical Society, Providence, 2001, pp. 349-360.
-
(2001)
Topics in Functional Differential Difference Equations, Fields Institute Communications
, vol.29
, pp. 349-360
-
-
Walther, H.-O.1
-
38
-
-
0012653061
-
Stable periodic motion for a system with state dependent delay
-
H.-O. Walther, Stable periodic motion for a system with state dependent delay, Differential Integral Equations 15 (2002) 923-944.
-
(2002)
Differential Integral Equations
, vol.15
, pp. 923-944
-
-
Walther, H.-O.1
-
39
-
-
85030966101
-
Wave solutions and global attractors of networks with memory
-
S.K. Aityal, L.T. Grujic, R.J. Hathaway, G.S. Ladde, N. Medhin, M. Sambandham (Eds.), Dynamic Publishers Inc., Atlanta
-
J. Wu, Wave solutions and global attractors of networks with memory, in: S.K. Aityal, L.T. Grujic, R.J. Hathaway, G.S. Ladde, N. Medhin, M. Sambandham (Eds.), Proceedings of Neural, Parallel and Scientific Computations, Dynamic Publishers Inc., Atlanta, 1995, pp. 476-479.
-
(1995)
Proceedings of Neural, Parallel and Scientific Computations
, pp. 476-479
-
-
Wu, J.1
-
40
-
-
33646864830
-
Symmetric functional differential equations and neural networks with memory
-
J. Wu, Symmetric functional differential equations and neural networks with memory, Trans. Amer. Math. Soc. 350 (1998) 4799-4838.
-
(1998)
Trans. Amer. Math. Soc.
, vol.350
, pp. 4799-4838
-
-
Wu, J.1
-
41
-
-
0010750897
-
Introduction to Neural Dynamics and Signal Transmission Delay
-
de-Gruyter, Berlin
-
J. Wu, Introduction to Neural Dynamics and Signal Transmission Delay, de-Gruyter, Berlin, 2001.
-
(2001)
-
-
Wu, J.1
-
42
-
-
0033166162
-
Synchronization and stable phase-locking in a network of neurons with memory
-
J. Wu, Y.S. Huang, T. Faria, Synchronization and stable phase-locking in a network of neurons with memory, Math. Comput. Modelling 30 (1999) 117-138.
-
(1999)
Math. Comput. Modelling
, vol.30
, pp. 117-138
-
-
Wu, J.1
Huang, Y.S.2
Faria, T.3
|