-
1
-
-
0028517922
-
Stability and bifurcations of equilibria in a multiple-delayed differential equation
-
Bélair, J. & Campbell, S. A. [1994] "Stability and bifurcations of equilibria in a multiple-delayed differential equation," Physica D 54, 1402-1424.
-
(1994)
Physica D
, vol.54
, pp. 1402-1424
-
-
Bélair, J.1
Campbell, S.A.2
-
2
-
-
0030081051
-
Frustration, stability, and delay-induced oscillations in a neural network model
-
Bélair, J., Campbell, S. & van den Driessche, A. P. [1996] "Frustration, stability and delay-induced oscillations in a neural network model," SIAM J. Appl. Math. 56, 245-255. (Pubitemid 126598148)
-
(1996)
SIAM Journal on Applied Mathematics
, vol.56
, Issue.1
, pp. 245-255
-
-
Belair, J.1
Campbell, S.A.2
Van Den Driessche, P.3
-
3
-
-
36749036635
-
Patterns of oscillation in a ring of identical cells with delayed coupling
-
DOI 10.1142/S0218127407018907, PII S0218127407018907
-
Bungay, S. & Campbell, S. A. [2007] "Patterns of oscillation in a ring of identical cells with delayed coupling," Int. J. Bifurcation and Chaos 17, 3109-3125. (Pubitemid 350209015)
-
(2007)
International Journal of Bifurcation and 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
-
DOI 10.1016/j.physd.2005.12.008, PII S016727890500504X
-
Campbell, S. A., Ncube, I. & Wu, J. [2006] "Multistability and stable asynchronous periodic oscillations in a multiple-delayed neural system," Physica D 214, 101-119. (Pubitemid 43253633)
-
(2006)
Physica D: Nonlinear Phenomena
, vol.214
, Issue.2
, pp. 101-119
-
-
Campbell, S.A.1
Ncube, I.2
Wu, J.3
-
5
-
-
0028106120
-
Multiple modes of activity in a model neuron suggest a novel mechanism for the effects of neuromodulators
-
Canavier, C., Baxter, D., Clark, J. & Byrne, J. [1994] "Multiple modes of activity in a model neuron suggest a novel mechanism for the effects of neuromodulators," J. Neurophysiol. 72, 872-882. (Pubitemid 24273590)
-
(1994)
Journal of Neurophysiology
, vol.72
, Issue.2
, pp. 872-882
-
-
Canavier, C.C.1
Baxter, D.A.2
Clark, J.W.3
Byrne, J.H.4
-
6
-
-
34047142309
-
Stability and Hopf bifurcation in a simplified BAM neural network with two time delays
-
DOI 10.1109/TNN.2006.886358
-
Cao, J. & Xiao, M. [2007] "Stability and Hopf bifurcation in a simplified BAM neural network with two time delays," IEEE Trans. Neural Networks 18, 416-430. (Pubitemid 46522566)
-
(2007)
IEEE Transactions on Neural Networks
, vol.18
, Issue.2
, pp. 416-430
-
-
Cao, J.1
Xiao, M.2
-
7
-
-
33747179498
-
Multistability in recurrent neural networks
-
DOI 10.1137/050632440
-
Cheng, C., Lin, K. & Shih, C. [2006] "Multistability in recurrent neural networks," SIAM J. Appl. Math. 66, 1301-1320. (Pubitemid 44231191)
-
(2006)
SIAM Journal on Applied Mathematics
, vol.66
, Issue.4
, pp. 1301-1320
-
-
Cheng, C.-Y.1
Lin, K.-H.2
Shih, C.-W.3
-
8
-
-
52149117834
-
Complete classification of equilibria and their stability in a delayed neural network
-
Chen, Y. & Wu, J. [2008] "Complete classification of equilibria and their stability in a delayed neural network," Int. J. Bifurcation and Chaos 18, 2017-2027.
-
(2008)
Int. J. Bifurcation and Chaos
, vol.18
, pp. 2017-2027
-
-
Chen, Y.1
Wu, J.2
-
9
-
-
0004033107
-
-
Technical Report TW-330, Department of Computer Science, K. U. Leuven, Belgium
-
Engelborghs, K., Luzyanina, T. & 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, Belgium.
-
(2001)
DDE-BIFTOOL V. 2.00: A Matlab Package for Bifurcation Analysis of Delay Differential Equations
-
-
Engelborghs, K.1
Luzyanina, T.2
Samaey, G.3
-
11
-
-
0000176406
-
Multistability and delayed recurrent loops
-
Foss, J., Longtin, A., Mensour, B. & Milton, J. [1996] "Multistability and delayed recurrent loops," Phys. Rev. Lett. 76, 708-711. (Pubitemid 126639502)
-
(1996)
Physical Review Letters
, vol.76
, Issue.4
, pp. 708-711
-
-
Foss, J.1
Longtin, A.2
Mensour, B.3
Milton, J.4
-
12
-
-
0000905238
-
Noise, multistability, and delayed recurrent loops
-
Foss, J., Moss, F. & Milton, J. [1997] "Noise, multistability, and delayed recurrent loops," Phys. Rev. E 55, 4536-4543. (Pubitemid 127612806)
-
(1997)
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
, vol.55
, Issue.4
, pp. 4536-4543
-
-
Foss, J.1
Moss, F.2
Milton, J.3
-
13
-
-
0033846357
-
Multistability in recurrent neural loops arising from delay
-
Foss, J. & Milton, J. [2000] "Multistability in recurrent neural loops arising from delay," J. Neurophysiol. 84, 975-985. (Pubitemid 30655617)
-
(2000)
Journal of Neurophysiology
, vol.84
, Issue.2
, pp. 975-985
-
-
Foss, J.1
Milton, J.2
-
14
-
-
77950792060
-
Fold-Hopf bifurcation in a simplified four-neuron BAM neural network with two delays
-
Ge, J. H. & Xu, J. [2010] "Fold-Hopf bifurcation in a simplified four-neuron BAM neural network with two delays," Sci. China Ser. E 53, 633-644.
-
(2010)
Sci. China Ser. e
, vol.53
, pp. 633-644
-
-
Ge, J.H.1
Xu, J.2
-
16
-
-
36849021007
-
Two-parameter bifurcations in a network of two neurons with multiple delays
-
Guo, S., Chen, Y. &Wu, J. [2008] "Two-parameter bifurcations in a network of two neurons with multiple delays," J. Diff. Eqs. 244, 444-486.
-
(2008)
J. Diff. Eqs.
, vol.244
, pp. 444-486
-
-
Guo, S.1
Chen, Y.2
Wu, J.3
-
17
-
-
0023491172
-
Adaptive bi-directional associative memories
-
Kosko, B. [1987] "Adaptive bi-directional associative memories," Appl. Opt. 26, 4947-4960.
-
(1987)
Appl. Opt.
, vol.26
, pp. 4947-4960
-
-
Kosko, B.1
-
18
-
-
0002333747
-
A review of interactions of Hopf and steady-state bifurcations
-
Langford, W. F. [1983] "A review of interactions of Hopf and steady-state bifurcations," Nonlin. Dyn. Turbul. 215-237.
-
(1983)
Nonlin. Dyn. Turbul.
, pp. 215-237
-
-
Langford, W.F.1
-
19
-
-
7544243927
-
Existence and stability of periodic solution for BAM neural networks with distributed delays
-
Li, Y. [2004] "Existence and stability of periodic solution for BAM neural networks with distributed delays," Appl. Math. Comput. 159, 847-862.
-
(2004)
Appl. Math. Comput.
, vol.159
, pp. 847-862
-
-
Li, Y.1
-
20
-
-
0000256610
-
Stability of analog neural network with delay
-
Marcus, C. M. & Westervelt, R. M. [1989] "Stability of analog neural network with delay," Phys. Rev. A 39, 347-359.
-
(1989)
Phys. Rev. A
, vol.39
, pp. 347-359
-
-
Marcus, C.M.1
Westervelt, R.M.2
-
21
-
-
0000380827
-
Nonlinear dynamics and stability of analog neural networks
-
Marcus, C. M., Waugh, F. R. & Westervelt, R. M. [1991] "Nonlinear dynamics and stability of analog neural networks," Physica D 51, 234-247.
-
(1991)
Physica D
, vol.51
, pp. 234-247
-
-
Marcus, C.M.1
Waugh, F.R.2
Westervelt, R.M.3
-
22
-
-
0002008063
-
Dynamic diseases in neurology and psychiatry
-
Milton, J. & Black, D. [1995] "Dynamic diseases in neurology and psychiatry," Chaos 5, 8-13.
-
(1995)
Chaos
, vol.5
, pp. 8-13
-
-
Milton, J.1
Black, D.2
-
23
-
-
0006171951
-
Epilepsy: Multistability in a dynamic disease
-
ed. Walleczek, J. (Cambridge University Press, Cambridge)
-
Milton, J. [2000] "Epilepsy: Multistability in a dynamic disease," Self-organized Biological Dynamics and Nonlinear Control, ed. Walleczek, J. (Cambridge University Press, Cambridge), pp. 374-386.
-
(2000)
Self-organized Biological Dynamics and Nonlinear Control
, pp. 374-386
-
-
Milton, J.1
-
24
-
-
0001082564
-
Bifurcations, stability, and monotonicity properties of a delayed neural network model
-
PII S0167278996002151
-
Olien, L. & Bélair, J. [1997] "Bifurcations, stability, and monotonicity properties of a delayed neural network model," Physica D 102, 349-363. (Pubitemid 127701396)
-
(1997)
Physica D: Nonlinear Phenomena
, vol.102
, Issue.3-4
, pp. 349-363
-
-
Olien, L.1
Belair, J.2
-
25
-
-
0342936163
-
Stability, bifurcation, and multistability in a system of two coupled neurons with multiple time delays
-
DOI 10.1137/S0036139998344015, PII S0036139998344015
-
Shayer, L. & 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. (Pubitemid 32456327)
-
(2001)
SIAM Journal on Applied Mathematics
, vol.61
, Issue.2
, pp. 673-700
-
-
Shayer, L.P.1
Campbell, S.A.2
-
26
-
-
33748977511
-
Global Hopf bifurcation analysis on a BAM neural network with delays
-
DOI 10.1016/j.mcm.2006.04.005, PII S0895717706001798
-
Sun, C. & Han, M. [2007] "Global Hopf bifurcation analysis on a BAM neural network with delays," Math. Comput. Model. 45, 61-67. (Pubitemid 44441802)
-
(2007)
Mathematical and Computer Modelling
, vol.45
, Issue.1-2
, pp. 61-67
-
-
Sun, C.1
Han, M.2
-
27
-
-
33751241112
-
Global Hopf bifurcation analysis on a BAM neural network with delays
-
DOI 10.1016/j.physleta.2006.08.078, PII S0375960106013624
-
Sun, C., Han, M. & Pang, X. [2007] "Global Hopf bifurcation analysis on a BAM neural network with delays," Phys. Lett. A 360, 689-695. (Pubitemid 44791789)
-
(2007)
Physics Letters, Section A: General, Atomic and Solid State Physics
, vol.360
, Issue.6
, pp. 689-695
-
-
Sun, C.1
Han, M.2
Pang, X.3
-
28
-
-
2942692324
-
A simple delayed neural network with large capacity for associative memory
-
Advances in Mathematical Biology
-
Wu, J. & Zhang, R. [2004] "A simple delayed neural network with large capacity for associative memory," Discr. Contin. Dyn. Syst. Ser. B 4, 851-863. (Pubitemid 38782442)
-
(2004)
Discrete and Continuous Dynamical Systems - Series B
, vol.4
, Issue.3
, pp. 851-863
-
-
Wu, J.1
Zhang, R.2
-
29
-
-
34548767317
-
An efficient method for studying weak resonant double Hopf bifurcation in nonlinear systems with delayed feedbacks
-
Xu, J., Chung, K. & Chan, C. [2007] "An efficient method for studying weak resonant double Hopf bifurcation in nonlinear systems with delayed feedbacks," SIAM J. Appl. Dyn. Syst. 6, 29-60.
-
(2007)
SIAM J. Appl. Dyn. Syst.
, vol.6
, pp. 29-60
-
-
Xu, J.1
Chung, K.2
Chan, C.3
-
30
-
-
61349135677
-
A perturbationincremental scheme for studying Hopf bifurcation in delayed differential systems
-
Xu, J. & Chung, K. [2009] "A perturbationincremental scheme for studying Hopf bifurcation in delayed differential systems," Sci. China Ser. E 52, 698-708.
-
(2009)
Sci. China Ser. e
, vol.52
, pp. 698-708
-
-
Xu, J.1
Chung, K.2
-
31
-
-
38949169188
-
Bifurcation analysis in a simplified tri-neuron BAM network model with multiple delays
-
DOI 10.1016/j.nonrwa.2007.01.015, PII S1468121807000296
-
Yan, X. [2008] "Bifurcation analysis in a simplified trineuron BAM network model with multiple delays," Nonlin. Anal. 9, 963-976. (Pubitemid 351221407)
-
(2008)
Nonlinear Analysis: Real World Applications
, vol.9
, Issue.3
, pp. 963-976
-
-
Yan, X.-P.1
-
32
-
-
26944442186
-
Stability and Synchronization of a Ring of Identical Cells with Delayed Coupling
-
DOI 10.1007/s10884-004-6114-y
-
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. (Pubitemid 39615497)
-
(2004)
J. Dyn. Diff. Eqs.
, vol.16
, Issue.3
, pp. 709-744
-
-
Yuan, Y.1
Campbell, S.A.2
|