-
2
-
-
26944444656
-
Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling
-
Campbell, S. A., Yuan, Y. & Bungay, S. [2005b] "Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling," Nonlinearity 18, 2827-2846.
-
(2005)
Nonlinearity
, vol.18
, pp. 2827-2846
-
-
Campbell, S.A.1
Yuan, Y.2
Bungay, S.3
-
4
-
-
0038346772
-
Existence and attraction of a phase-locked oscillation in a delayed network of two neurons
-
Chen, Y. & Wu, J. [2001] "Existence and attraction of a phase-locked oscillation in a delayed network of two neurons," Diff. Integr. Eqs. 14, 1181-1236.
-
(2001)
Diff. Integr. Eqs.
, vol.14
, pp. 1181-1236
-
-
Chen, Y.1
Wu, J.2
-
6
-
-
0000840165
-
Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
-
Faria, T. & Magalhães, L. T. [1995] "Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity," J. Diff. Eqs. 122, 201-224.
-
(1995)
J. Diff. Eqs.
, vol.122
, pp. 201-224
-
-
Faria, T.1
Magalhães, L.T.2
-
7
-
-
0034693565
-
On a planar system modeling a neuron network with memory
-
Faria, T. [2000] "On a planar system modeling a neuron network with memory," J. Diff. Eqs. 168, 129-149.
-
(2000)
J. Diff. Eqs.
, vol.168
, pp. 129-149
-
-
Faria, T.1
-
8
-
-
4644363018
-
On the study of singularities for a plane system with two delays
-
Faria, T. [2003] "On the study of singularities for a plane system with two delays," J. Dyn. Contin. Discr. Impuls. Syst., Ser. A 10, 357-371.
-
(2003)
J. Dyn. Contin. Discr. Impuls. Syst., Ser. A
, vol.10
, pp. 357-371
-
-
Faria, T.1
-
9
-
-
0035890834
-
Bifurcations in a planar system of differential delay equations modeling neural activity
-
Giannkopoulos, F. & Zapp, A. [2001] "Bifurcations in a planar system of differential delay equations modeling neural activity," Physica D 159, 215-232.
-
(2001)
Physica D
, vol.159
, pp. 215-232
-
-
Giannkopoulos, F.1
Zapp, A.2
-
10
-
-
0003478288
-
-
Springer-Verlag, NY
-
Guckenheimer, J. & Holmes, P. [1997] Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, NY).
-
(1997)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
-
-
Guckenheimer, J.1
Holmes, P.2
-
11
-
-
0041511877
-
Hopf bifurcating periodic orbits in a ring of neurons with delays
-
Guo, S. & Huang, L. [2003] "Hopf bifurcating periodic orbits in a ring of neurons with delays," Physica D 183, 19-44.
-
(2003)
Physica D
, vol.183
, pp. 19-44
-
-
Guo, S.1
Huang, L.2
-
12
-
-
0000825969
-
An unfolding of the Takens-Bogdanov singularity
-
Hirschberg, P. & Knobloch, E. [1991] "An unfolding of the Takens-Bogdanov singularity," Quart. Appl. Math. XLIX, 281-287.
-
(1991)
Quart. Appl. Math.
, vol.49
, pp. 281-287
-
-
Hirschberg, P.1
Knobloch, E.2
-
13
-
-
0011045853
-
Basins of attraction for electronic neural networks
-
Denver, CO, 1987, ed. Anderson, D. S. (AIP)
-
Marcus, C. M. & Westervelt, R. M. [1988] "Basins of attraction for electronic neural networks," in Neural Information Processing Systems, Denver, CO, 1987, ed. Anderson, D. S. (AIP), pp. 524-533.
-
(1988)
Neural Information Processing Systems
, pp. 524-533
-
-
Marcus, C.M.1
Westervelt, R.M.2
-
14
-
-
12244313650
-
Change in criticality of synchronous Hopf bifurcation in a multiple-delayed neural system
-
eds. Ruan, S., Wolkowicz, G. S. K. & Wu, J. Fields Institute Communications, (AMS)
-
Ncube, I., Campbell, S. A. & Wu, J. [2003] "Change in criticality of synchronous Hopf bifurcation in a multiple-delayed neural system," in Dynamical Systems and Their Applications to Biology, eds. Ruan, S., Wolkowicz, G. S. K. & Wu, J. Fields Institute Communications, Vol. 36, (AMS), pp. 179-193.
-
(2003)
Dynamical Systems and Their Applications to Biology
, vol.36
, pp. 179-193
-
-
Ncube, I.1
Campbell, S.A.2
Wu, J.3
-
15
-
-
0037098114
-
Bifurcation analysis of a class of first-order nonlinear delay-differential equations with reflectional symmetry
-
Redmond, B. F., LeBlanc, V. G. & Longtin, A. [2002] "Bifurcation analysis of a class of first-order nonlinear delay-differential equations with reflectional symmetry," Physica D 166, 131-145.
-
(2002)
Physica D
, vol.166
, pp. 131-145
-
-
Redmond, B.F.1
LeBlanc, V.G.2
Longtin, A.3
-
16
-
-
1842465386
-
On the zeros of transcendental functions with applications to stability of delay differential equations with two delays
-
Ruan, S. & Wei, J. [2003] "On the zeros of transcendental functions with applications to stability of delay differential equations with two delays," J. Dyn. Contin. Discr. Impuls. Syst., Ser A. 10, 863-874.
-
(2003)
J. Dyn. Contin. Discr. Impuls. Syst., Ser A
, vol.10
, pp. 863-874
-
-
Ruan, S.1
Wei, J.2
-
17
-
-
0342936163
-
Stability, bifurcation and multistability in a system of two coupled neurons with multiple time delays
-
Shayer, L. P. & 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
, pp. 673-700
-
-
Shayer, L.P.1
Campbell, S.A.2
-
18
-
-
6444228136
-
Global existence of periodic solutions in a tri-neuron network model with delays
-
Wei, J. & Li, M. Y. [2004] "Global existence of periodic solutions in a tri-neuron network model with delays," Physica D 198, 106-119.
-
(2004)
Physica D
, vol.198
, pp. 106-119
-
-
Wei, J.1
Li, M.Y.2
-
19
-
-
27644482807
-
Synchronized Hopf bifurcation analysis in a neural network model with delays
-
Wei, J. & Yuan, Y. [2005] "Synchronized Hopf bifurcation analysis in a neural network model with delays," J. Math. Anal. Appl. 312, 205-229.
-
(2005)
J. Math. Anal. Appl.
, vol.312
, pp. 205-229
-
-
Wei, J.1
Yuan, Y.2
-
20
-
-
0033166162
-
Synchronization and stable phase-locking in a network of neurons with memory
-
Wu, J., Faria, T. & Huang, Y. S. [1999] "Synchronization and stable phase-locking in a network of neurons with memory," Math. Comp. Modeling 30, 117-138.
-
(1999)
Math. Comp. Modeling
, vol.30
, pp. 117-138
-
-
Wu, J.1
Faria, T.2
Huang, Y.S.3
-
21
-
-
0035507108
-
Multiple bifurcations in a delayed predator-prey system with nonmonotonic functional response
-
Xiao, D. & Ruan, S. [2001] "Multiple bifurcations in a delayed predator-prey system with nonmonotonic functional response," J. Diff. Eqs. 176, 494-510.
-
(2001)
J. Diff. Eqs.
, vol.176
, pp. 494-510
-
-
Xiao, D.1
Ruan, S.2
-
22
-
-
26944442186
-
Stability and synchronization of a ring of identical cells with delayed coupling
-
Yuan, Y. & Campbell, S. A. [2004] "Stability and synchronization of a ring of identical cells with delayed coupling," J. Dyn. Diff. Eqs. 16, 709-744.
-
(2004)
J. Dyn. Diff. Eqs.
, vol.16
, pp. 709-744
-
-
Yuan, Y.1
Campbell, S.A.2
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