-
1
-
-
0021768729
-
A model of neuronal bursting using three coupled first-order differential equations
-
Hindmarsh, J.L., Rose, R.M.: A model of neuronal bursting using three coupled first-order differential equations. Proc. R. Soc. Lond. B 221, 87 (1984).
-
(1984)
Proc. R. Soc. Lond. B
, vol.221
, pp. 87
-
-
Hindmarsh, J.L.1
Rose, R.M.2
-
2
-
-
0026858346
-
From simple to simple bursting oscillatory behaviour via intermittent chaos in the Rose-Hindmarsh model for neuronal activity
-
Holden, A.V., Fan, Y.S.: From simple to simple bursting oscillatory behaviour via intermittent chaos in the Rose-Hindmarsh model for neuronal activity. Chaos Solitons Fractals 2, 221-230 (1992).
-
(1992)
Chaos Solitons Fractals
, vol.2
, pp. 221-230
-
-
Holden, A.V.1
Fan, Y.S.2
-
3
-
-
44949266418
-
Genesis of bursting oscillations in the Hindmarsh-Rosemodel and homoclinicity to a chaotic saddle
-
Wang, X.J.: Genesis of bursting oscillations in the Hindmarsh-Rosemodel and homoclinicity to a chaotic saddle. Physica 62, 263-274 (1993).
-
(1993)
Physica
, vol.62
, pp. 263-274
-
-
Wang, X.J.1
-
4
-
-
0001261841
-
Spike-train bifurcation scaling in two coupled chaotic neurons
-
Huerta, R., Rabinovich, M., Abarbanel, H., Bazhenov, M.: Spike-train bifurcation scaling in two coupled chaotic neurons. Phys. Rev. E 55, 2108-2110 (1997).
-
(1997)
Phys. Rev. e
, vol.55
, pp. 2108-2110
-
-
Huerta, R.1
Rabinovich, M.2
Abarbanel, H.3
Bazhenov, M.4
-
5
-
-
4344661328
-
Which model to use for cortical spiking neurons?
-
Izhikevich, E.M.: Which model to use for cortical spiking neurons? IEEE Trans. Neural Netw. 12, 1063-1107 (2004).
-
(2004)
IEEE Trans. Neural Netw.
, vol.12
, pp. 1063-1107
-
-
Izhikevich, E.M.1
-
6
-
-
35649001607
-
A quantitative description of membrane current and its application to conduction and excitation in nerve
-
Hodgkin, A.L., Huxley, A.F.: A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117, 500-544 (1952).
-
(1952)
J. Physiol.
, vol.117
, pp. 500-544
-
-
Hodgkin, A.L.1
Huxley, A.F.2
-
7
-
-
54949130175
-
Methods of the qualitative theory for the Hindmarsh-Rose model: A case study. A tutorial
-
Shilnikov, A.L., Kolomiets, M.L.: Methods of the qualitative theory for the Hindmarsh-Rose model: A case study. A tutorial. Int. J. Bifurc. Chaos 18, 2141-2168 (2008).
-
(2008)
Int. J. Bifurc. Chaos
, vol.18
, pp. 2141-2168
-
-
Shilnikov, A.L.1
Kolomiets, M.L.2
-
8
-
-
37649016614
-
Dynamical phases of the Hindmarsh-Rose neuronal model: Studies of the transition from bursting to spiking chaos
-
Innocenti, G., Morelli, A., Genesio, R., et al.: Dynamical phases of the Hindmarsh-Rose neuronal model: Studies of the transition from bursting to spiking chaos. Chaos 17(4), 043128 (2007).
-
(2007)
Chaos
, vol.17
, Issue.4
, pp. 043128
-
-
Innocenti, G.1
Morelli, A.2
Genesio, R.3
-
9
-
-
33846986367
-
Bursting neurons with coupling delays
-
Buric, N., Rankovic, D.: Bursting neurons with coupling delays. Phys. Lett. A 363(4), 282-289 (2007).
-
(2007)
Phys. Lett. A
, vol.363
, Issue.4
, pp. 282-289
-
-
Buric, N.1
Rankovic, D.2
-
10
-
-
33845659014
-
Periodicity and chaos in electrically coupled Hindmarsh-Rose neurons
-
Erichsen, R., Mainieri, M.S., Brunnet, L.G.: Periodicity and chaos in electrically coupled Hindmarsh-Rose neurons. Phys. Rev. E 74(6), 061906 (2006).
-
(2006)
Phys. Rev. e
, vol.74
, Issue.6
, pp. 061906
-
-
Erichsen, R.1
Mainieri, M.S.2
Brunnet, L.G.3
-
11
-
-
58149288244
-
Multistability in networks of Hindmarsh-Rose neurons
-
Erichsen, R., Brunnet, L.G.: Multistability in networks of Hindmarsh-Rose neurons. Phys. Rev. E 78(6), 061917 (2008).
-
(2008)
Phys. Rev. e
, vol.78
, Issue.6
, pp. 061917
-
-
Erichsen, R.1
Brunnet, L.G.2
-
12
-
-
10944266776
-
Enhancement of neural synchronization by time delay
-
Dhamala, M., Jirsa, V.K., Ding, M.: Enhancement of neural synchronization by time delay. Phys. Rev. Lett. 92(7), 028101 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.92
, Issue.7
, pp. 028101
-
-
Dhamala, M.1
Jirsa, V.K.2
Ding, M.3
-
13
-
-
0003973149
-
-
Cambridge Univ. Press, Cambridge
-
Hassard, B.D., Kazarinoff, N.D., Wan, Y.H.: Theory and Applications of Hopf Bifurcation. Cambridge Univ. Press, Cambridge (1981).
-
(1981)
Theory and Applications of Hopf Bifurcation
-
-
Hassard, B.D.1
Kazarinoff, N.D.2
Wan, Y.H.3
-
14
-
-
1842465386
-
On the zeros of transcendental functions with applications to stability of delay differential equations with two delays
-
Ruan, S., Wei, J.: On the zeros of transcendental functions with applications to stability of delay differential equations with two delays. Dyn. Contin., Discrete Impuls. Syst. Ser. A: Math. Anal 10, 863-874 (2003).
-
(2003)
Dyn. Contin., Discrete Impuls. Syst. Ser. A: Math. Anal
, vol.10
, pp. 863-874
-
-
Ruan, S.1
Wei, J.2
-
15
-
-
0035011952
-
On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion
-
Ruan, S.,Wei, J.: On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion. IMA J. Math. Appl. Med. Biol 18, 41-52 (2001).
-
(2001)
IMA J. Math. Appl. Med. Biol
, vol.18
, pp. 41-52
-
-
Ruan, S.1
Wei, J.2
-
16
-
-
18544366261
-
On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays
-
Li, X., Wei, J.: On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays. Chaos Solitons Fractals 26, 519-26 (2005).
-
(2005)
Chaos Solitons Fractals
, vol.26
, pp. 519-526
-
-
Li, X.1
Wei, J.2
-
17
-
-
67349240136
-
Stability and Hopf bifurcation analysis on a ring of four neurons with delays
-
Hu, H., Huang, L.: Stability and Hopf bifurcation analysis on a ring of four neurons with delays. Appl.Math. Comput. 213(2), 587-599 (2009).
-
(2009)
Appl.Math. Comput.
, vol.213
, Issue.2
, pp. 587-599
-
-
Hu, H.1
Huang, L.2
-
18
-
-
12244261643
-
Stability and bifurcation analysis on a simplified BAM neural network with delays
-
Song, Y., Han, M., Wei, J.: Stability and bifurcation analysis on a simplified BAM neural network with delays. Physica D 200, 185-204 (2005).
-
(2005)
Physica D
, vol.200
, pp. 185-204
-
-
Song, Y.1
Han, M.2
Wei, J.3
-
19
-
-
0347130009
-
Stability and bifurcation in a neural network model with two delays
-
Wei, J., Ruan, S.: Stability and bifurcation in a neural network model with two delays. Physica D 130, 255-272 (1999).
-
(1999)
Physica D
, vol.130
, pp. 255-272
-
-
Wei, J.1
Ruan, S.2
-
20
-
-
26944442186
-
Stability and synchronization of a ring of identical cells with delayed coupling
-
Yuan, Y., Campbell, S.A.: Stability and synchronization of a ring of identical cells with delayed coupling. J. Dyn. Differ. Equ. 16(3), 709-744 (2004).
-
(2004)
J. Dyn. Differ. Equ.
, vol.16
, Issue.3
, pp. 709-744
-
-
Yuan, Y.1
Campbell, S.A.2
-
21
-
-
0041511877
-
Hopf bifurcating periodic orbits in a ring of neurons with delays
-
Guo, S., Huang, L.: Hopf bifurcating periodic orbits in a ring of neurons with delays. Physica D 183, 19-44 (2003).
-
(2003)
Physica D
, vol.183
, pp. 19-44
-
-
Guo, S.1
Huang, L.2
-
22
-
-
7244227815
-
Bifurcation analysis and existence of periodic solutions in a simple neural network with delays
-
Wei, J., Velarde, M.: Bifurcation analysis and existence of periodic solutions in a simple neural network with delays. Chaos 14(3), 940-952 (2004).
-
(2004)
Chaos
, vol.14
, Issue.3
, pp. 940-952
-
-
Wei, J.1
Velarde, M.2
-
23
-
-
27644482807
-
Synchronized Hopf bifurcation analysis in a neural network model with delays
-
Wei, J., Yuan, Y.: Synchronized Hopf bifurcation analysis in a neural network model with delays. J. Math. Anal. Appl. 312, 205-229 (2005).
-
(2005)
J. Math. Anal. Appl.
, vol.312
, pp. 205-229
-
-
Wei, J.1
Yuan, Y.2
-
24
-
-
2342442918
-
Hopf bifurcation in bidirectional associative memory neural networks with delays: Analysis and computation
-
Wang, L., Zou, X.: Hopf bifurcation in bidirectional associative memory neural networks with delays: Analysis and computation. J. Comput. Appl. Math. 167, 73-90 (2004).
-
(2004)
J. Comput. Appl. Math.
, vol.167
, pp. 73-90
-
-
Wang, L.1
Zou, X.2
-
25
-
-
35248882076
-
Hopf bifurcation analysis in a tri-neuron network with time delay
-
Fan, D., Wei, J.: Hopf bifurcation analysis in a tri-neuron network with time delay. Nonlinear Anal.: Real World Appl. 9, 9-25 (2008).
-
(2008)
Nonlinear Anal.: Real World Appl
, vol.9
, pp. 9-25
-
-
Fan, D.1
Wei, J.2
-
26
-
-
0033166162
-
Synchronization and stable phase-locking in a network of neurons with memory
-
Wu, J., Faria, T., Huang, Y.S.: Synchronization and stable phase-locking in a network of neurons with memory. Math. Comput. Model. 30, 117-138 (1999).
-
(1999)
Math. Comput. Model.
, vol.30
, pp. 117-138
-
-
Wu, J.1
Faria, T.2
Huang, Y.S.3
-
27
-
-
33646864830
-
Symmetric functional differential equations and neural networks with memory
-
Wu, J.: Symmetric functional differential equations and neural networks with memory. Trans. Am. Math. Soc. 350, 4799-4838 (1998).
-
(1998)
Trans. Am. Math. Soc.
, vol.350
, pp. 4799-4838
-
-
Wu, J.1
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