-
1
-
-
0028468031
-
How delays affect neural dynamics and learning
-
Baldi P and Atiya A F 1994 How delays affect neural dynamics and learning IEEE Trans. Neural Networks 5 612-21
-
(1994)
IEEE Trans. Neural Networks
, vol.5
, Issue.4
, pp. 612-621
-
-
Baldi, P.1
Atiya, A.F.2
-
2
-
-
0028517922
-
Stability and bifurcations of equilibria in a multiple-delayed differential equation
-
Bélair J and Campbell S A 1994 Stability and bifurcations of equilibria in a multiple-delayed differential equation SIAM J. Appl. Math. 54 1402-24
-
(1994)
SIAM J. Appl. Math.
, vol.54
, Issue.5
, pp. 1402-1424
-
-
Bélair, J.1
Campbell, S.A.2
-
4
-
-
0037457058
-
Restrictions and unfolding of double Hopf bifurcation in functional differential equations
-
Buono P and Bélair J 2003 Restrictions and unfolding of double Hopf bifurcation in functional differential equations J. Diff. Eqns 189 234-66
-
(2003)
J. Diff. Eqns
, vol.189
, Issue.1
, pp. 234-266
-
-
Buono, P.1
Bélair, J.2
-
5
-
-
0002848816
-
Stability and bifurcation of a simple neural network with multiple time delays
-
Campbell S A 1999 Stability and bifurcation of a simple neural network with multiple time delays Differential Equations with Application to Biology (Fields Institute Communications vol 21) ed S Ruan et al (Providence, RI: American Mathematical Society) pp 65-79
-
(1999)
Differential Equations with Application to Biology
, pp. 65-79
-
-
Campbell, S.A.1
-
7
-
-
0033177129
-
Qualitative analysis of a neural network model with multiple time delays
-
Campbell S A, Ruan S and Wei J 1999 Qualitative analysis of a neural network model with multiple time delays Int. J. Bifurcat. Chaos 9 1585-95
-
(1999)
Int. J. Bifurcat. Chaos
, vol.9
, Issue.8
, pp. 1585-1595
-
-
Campbell, S.A.1
Ruan, S.2
Wei, J.3
-
8
-
-
0020970741
-
Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
-
Cohen M and Grossberg S 1983 Absolute stability of global pattern formation and parallel memory storage by competitive neural networks IEEE Trans. Syst. Man Cybernet. 13 815-26
-
(1983)
IEEE Trans. Syst. Man Cybernet.
, vol.13
, pp. 815-826
-
-
Cohen, M.1
Grossberg, S.2
-
9
-
-
0000209631
-
Discrete delay, distributed delay and stability switches
-
Cooke K L and Grossman Z 1982 Discrete delay, distributed delay and stability switches J. Math. Anal. Appl. 86 592-627
-
(1982)
J. Math. Anal. Appl.
, vol.86
, Issue.2
, pp. 592-627
-
-
Cooke, K.L.1
Grossman, Z.2
-
10
-
-
0004033107
-
-
Engelborghs K, Luzyanina T and Samaey G 2001 DDE-BIFTOOL v. 2.00: a Matlab package for bifurcation analysis of delay differential equations Technical Report TW-330 Department of Computer Science, K U Leuven, Leuven, Belgium
-
(2001)
Technical Report
-
-
Engelborghs, K.1
Luzyanina, T.2
Samaey, G.3
-
13
-
-
0000028620
-
Competition, decision, and consensus
-
Grossberg S 1978 Competition, decision, and consensus J. Math. Anal. Appl. 66 470-93
-
(1978)
J. Math. Anal. Appl.
, vol.66
, Issue.2
, pp. 470-493
-
-
Grossberg, S.1
-
14
-
-
0018860355
-
Biological competition: Decision rules, pattern formation, and oscillations
-
Grossberg S 1980 Biological competition: decision rules, pattern formation, and oscillations Proc. Natl Acad. Sci. USA 77 2338-42
-
(1980)
Proc. Natl Acad. Sci. USA
, vol.77
, pp. 2338-2342
-
-
Grossberg, S.1
-
16
-
-
0041511877
-
Hopf bifurcating periodic orbits in a ring of neurons with delays
-
Guo S and Huang L 2003 Hopf bifurcating periodic orbits in a ring of neurons with delays Physica D 183 19-44
-
(2003)
Physica
, vol.183
, Issue.1-2
, pp. 19-44
-
-
Guo, S.1
Huang, L.2
-
18
-
-
0004469897
-
Neurons with graded response have collective computational properties like those of two-state neurons
-
Hopfield J J 1984 Neurons with graded response have collective computational properties like those of two-state neurons Proc. Natl Acad. Sci. USA 81 3088-92
-
(1984)
Proc. Natl Acad. Sci. USA
, vol.81
, pp. 3088-3092
-
-
Hopfield, J.J.1
-
19
-
-
0020118274
-
Neural networks and physical systems with emergent collective computational abilities
-
Hopfield J J 1982 Neural networks and physical systems with emergent collective computational abilities Proc. Natl Acad. Sci. USA 79 2554-8
-
(1982)
Proc. Natl Acad. Sci. USA
, vol.79
, pp. 2554-2558
-
-
Hopfield, J.J.1
-
20
-
-
0002175879
-
Computation formulae of an equivariant degree with applications to symmetric bifurcations
-
Krawcewicz W, Vivi P and Wu J 1997 Computation formulae of an equivariant degree with applications to symmetric bifurcations Nonlinear Studies 4 89-119
-
(1997)
Nonlinear Studies
, vol.4
, pp. 89-119
-
-
Krawcewicz, W.1
Vivi, P.2
Wu, J.3
-
21
-
-
0033102023
-
Theory and applications of Hopf bifurcations in symmetric functional-differential equations
-
Krawcewicz W and Wu J 1999 Theory and applications of Hopf bifurcations in symmetric functional-differential equations Nonlinear Anal. 35 845-70
-
(1999)
Nonlinear Anal.
, vol.35
, Issue.7
, pp. 845-870
-
-
Krawcewicz, W.1
Wu, J.2
-
22
-
-
0000380827
-
Nonlinear dynamics and stability of analog neural networks
-
Marcus C M, Waugh F R and Westervelt R M 1991 Nonlinear dynamics and stability of analog neural networks Physica D 51 234-47
-
(1991)
Physica
, vol.51
, Issue.1-3
, pp. 234-247
-
-
Marcus, C.M.1
Waugh, F.R.2
Westervelt, R.M.3
-
24
-
-
0000256610
-
Stability of analog neural networks with delay
-
Marcus C M and Westervelt R M 1989 Stability of analog neural networks with delay Phys. Rev. A 39 347-59
-
(1989)
Phys. Rev.
, vol.39
, Issue.1
, pp. 347-359
-
-
Marcus, C.M.1
Westervelt, R.M.2
-
25
-
-
12244313650
-
Change in criticality of synchronous Hopf bifurcation in a multiple-delayed neural system
-
Ncube I, Campbell S A and Wu J 2003 Change in criticality of synchronous Hopf bifurcation in a multiple-delayed neural system Dynamical Systems and their Applications to Biology (Fields Institute Communications vol 36) ed S Ruan et al (Providence, RI: American Mathematical Society) pp 179-93
-
(2003)
Dynamical Systems and Their Applications to Biology
, pp. 179-193
-
-
Ncube, I.1
Campbell, S.A.2
Wu, J.3
-
26
-
-
84867929802
-
Hopf bifurcation calculations in delayed systems with translational symmetry
-
Orosz G and Stépán G 2004 Hopf bifurcation calculations in delayed systems with translational symmetry J. Nonlinear Sci. 14 505-28
-
(2004)
J. Nonlinear Sci.
, vol.14
, Issue.6
, pp. 505-528
-
-
Orosz, G.1
Stépán, G.2
-
27
-
-
42749102192
-
Global bifurcation investigation of an optimal velocity traffic model with driver reaction time
-
Orosz G, Wilson R E and Krauskopf B 2004 Global bifurcation investigation of an optimal velocity traffic model with driver reaction time Phys. Rev. E 70 026207
-
(2004)
Phys. Rev.
, vol.70
, pp. 026207
-
-
Orosz, G.1
Wilson, R.E.2
Krauskopf, B.3
-
28
-
-
0342936163
-
Stability, bifurcation and multistability in a system of two coupled neurons with multiple time delays
-
Shayer L P and Campbell S A 2000 Stability, bifurcation and multistability in a system of two coupled neurons with multiple time delays SIAM J. Appl. Math. 61 673-700
-
(2000)
SIAM J. Appl. Math.
, vol.61
, Issue.2
, pp. 673-700
-
-
Shayer, L.P.1
Campbell, S.A.2
-
29
-
-
33646864830
-
Symmetric functional-differential equations and neural networks with memory
-
Wu J 1998 Symmetric functional-differential equations and neural networks with memory Trans. Am. Math. Soc. 350 4799-838
-
(1998)
Trans. Am. Math. Soc.
, vol.350
, Issue.12
, pp. 4799-4838
-
-
Wu, J.1
-
30
-
-
0033166162
-
Synchronization and stable phase-locking in a network of neurons with memory
-
Wu J, Faria T and Huang Y S 1999 Synchronization and stable phase-locking in a network of neurons with memory Math. Comput. Modelling 30 117-38
-
(1999)
Math. Comput. Modelling
, vol.30
, Issue.1-2
, pp. 117-138
-
-
Wu, J.1
Faria, T.2
Huang, Y.S.3
-
31
-
-
26944442186
-
Stability and synchronization of a ring of identical cells with delayed coupling
-
Yuan Y and Campbell S A 2004 Stability and synchronization of a ring of identical cells with delayed coupling J. Dyn. Diff. Eqns 16 709-44
-
(2004)
J. Dyn. Diff. Eqns
, vol.16
, Issue.3
, pp. 709-744
-
-
Yuan, Y.1
Campbell, S.A.2
|