-
1
-
-
0029303855
-
Topological and phenomenologial classication of bursting oscillations
-
R. Bertram, M. J. Butte, T. Kiemel, A. Sherman. Topological and phenomenologial classication of bursting oscillations. Bull. Math. Biol. 1995. V. 57. No 3. P. 413-439.
-
(1995)
Bull. Math. Biol.
, vol.57
, Issue.3
, pp. 413-439
-
-
Bertram, R.1
Butte, M.J.2
Kiemel, T.3
Sherman, A.4
-
3
-
-
0000303940
-
Neural excitability, spiking and bursting
-
E. Izhikevich. Neural excitability, spiking and bursting. Bifurcation and Chaos. 2000. V. 10. No 6. P. 1171-1266.
-
(2000)
Bifurcation and Chaos
, vol.10
, Issue.6
, pp. 1171-1266
-
-
Izhikevich, E.1
-
4
-
-
0000117122
-
Bursting oscillations in an excitable membrane model
-
Lecture Notes in Mathematics
-
J. Rinzel. Bursting oscillations in an excitable membrane model, in Ordinary and Partial Differential Equations. Lecture Notes in Mathematics. 1985. V. 1151. p.304.
-
(1985)
Ordinary and Partial Differential Equations
, vol.1151
, pp. 304
-
-
Rinzel, J.1
-
6
-
-
0037618934
-
Type I burst excitability
-
C. R. Laing, B. Doiron, A. Longtin, L. Noonan, R. W. Turner, L. Maler. Type I burst excitability. J. Comput. Neuroscience. 2003. V. 14. p.329.
-
(2003)
J. Comput. Neuroscience
, vol.14
, pp. 329
-
-
Laing, C.R.1
Doiron, B.2
Longtin, A.3
Noonan, L.4
Turner, R.W.5
Maler, L.6
-
7
-
-
0036256476
-
Ghost bursting: A novel neuronal burst mechanism
-
B. Doiron, C. Laing, A. Longtin. Ghost bursting: A novel neuronal burst mechanism. Comp. Neuroscience. 2002. V. 12. p.5.
-
(2002)
Comp. Neuroscience
, vol.12
, pp. 5
-
-
Doiron, B.1
Laing, C.2
Longtin, A.3
-
8
-
-
34249839599
-
The transition from bursting to continuous spiking in an excitable membrane model
-
D. Terman. The transition from bursting to continuous spiking in an excitable membrane model. J. Nonlinear science. 1992. V. 2. p.133-182.
-
(1992)
J. Nonlinear Science
, vol.2
, pp. 133-182
-
-
Terman, D.1
-
9
-
-
44949266418
-
Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle
-
X. J. Wang. Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle. Physica D. 1993. V. 62. p.263-274.
-
(1993)
Physica D
, vol.62
, pp. 263-274
-
-
Wang, X.J.1
-
10
-
-
0033842858
-
Spiking-bursting activity in the thalamic reticular nucleus initiates sequences of spindle oscillations in thalamic networks
-
M. Bazhenov, I. Timofeev, M. Steriade, T. J. Sejnowski. Spiking-bursting activity in the thalamic reticular nucleus initiates sequences of spindle oscillations in thalamic networks. J. Neurophysiology. 2000. V. 84. p.1076-1087.
-
(2000)
J. Neurophysiology
, vol.84
, pp. 1076-1087
-
-
Bazhenov, M.1
Timofeev, I.2
Steriade, M.3
Sejnowski, T.J.4
-
11
-
-
0036710119
-
Food chain chaos due to Shilnikov's orbit
-
B. Deng, G. Hines. Food chain chaos due to Shilnikov's orbit. Chaos. 2002. V. 12. No 3. P. 533-538.
-
(2002)
Chaos
, vol.12
, Issue.3
, pp. 533-538
-
-
Deng, B.1
Hines, G.2
-
12
-
-
63549132087
-
Transition between tonic-spiking and bursting in a neuron model via the blue-sky catastrophe
-
Submitted
-
A. Shilnikov, G. Cymbalyuk. Transition between tonic-spiking and bursting in a neuron model via the blue-sky catastrophe. Submitted to Phys. Review Letter. 2004.
-
(2004)
Phys. Review Letter
-
-
Shilnikov, A.1
Cymbalyuk, G.2
-
13
-
-
18244392084
-
Mechanism of bi-stability: Tonic spiking and bursting in a neuron model
-
Submitted
-
A. Shilnikov, R. Colabrese, G. Cymbalyuk. Mechanism of bi-stability: tonic spiking and bursting in a neuron model. Submitted to Phys. Review E. 2004.
-
(2004)
Phys. Review E
-
-
Shilnikov, A.1
Colabrese, R.2
Cymbalyuk, G.3
-
14
-
-
0242313111
-
On some bifurcations of dynamical systems with homoclinic structures
-
V. Lukyanov, L. Shilnikov. On some bifurcations of dynamical systems with homoclinic structures. Soviet Math. Dokl. 1978. V. 19. No 6. P. 1314-1318.
-
(1978)
Soviet Math. Dokl.
, vol.19
, Issue.6
, pp. 1314-1318
-
-
Lukyanov, V.1
Shilnikov, L.2
-
15
-
-
0031189220
-
On simple bifurcations leading to hyperbolic attractors
-
L. P. Shilnikov, D. V. Turaev. On simple bifurcations leading to hyperbolic attractors. Comput. Math. Appl. 1997. V. 34. p.441-457.
-
(1997)
Comput. Math. Appl.
, vol.34
, pp. 441-457
-
-
Shilnikov, L.P.1
Turaev, D.V.2
-
16
-
-
3242698870
-
A new simple bifurcation of a periodic orbit of blue sky catastrophe type. In Methods of qualitative theory of differential equations and related topics
-
L. Shilnikov, D. Turaev. A new simple bifurcation of a periodic orbit of blue sky catastrophe type. In Methods of qualitative theory of differential equations and related topics. Amer. Math. Soc. Transl., II Ser. 2000. V. 200. p.165-188.
-
(2000)
Amer. Math. Soc. Transl., II Ser.
, vol.200
, pp. 165-188
-
-
Shilnikov, L.1
Turaev, D.2
-
19
-
-
0035384115
-
A model of slow plateau-like oscillations based upon the fast Na+ current in a window mode
-
G. S. Cymbalyuk, R. L. Calabresc. A model of slow plateau-like oscillations based upon the fast Na+ current in a window mode. Neurocomputing. 2001. V. 38-40. p.159-166.
-
(2001)
Neurocomputing
, vol.38-40
, pp. 159-166
-
-
Cymbalyuk, G.S.1
Calabresc, R.L.2
-
20
-
-
0037114961
-
Bursting in leech heart interneurons: Cell autonomous and network based mechanisms
-
G. S. Cymbalyuk, Q. Gaudry, M. A. Masino, R. L. Calabrese. Bursting in leech heart interneurons: cell autonomous and network based mechanisms. J. Neuroscience. 2002. V. 22. p.10580-10592.
-
(2002)
J. Neuroscience.
, vol.22
, pp. 10580-10592
-
-
Cymbalyuk, G.S.1
Gaudry, Q.2
Masino, M.A.3
Calabrese, R.L.4
-
21
-
-
35649001607
-
A quantitative description of membrane current and its application to conduction and excitation in nerve
-
A. L. Hodgkin, A. F. Huxley. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 1952. V. 117. p.500-544.
-
(1952)
J. Physiol.
, vol.117
, pp. 500-544
-
-
Hodgkin, A.L.1
Huxley, A.F.2
-
22
-
-
0028665504
-
A persistent sodium current contributes to oscillatory activity in heart interneurons of the medicinal leech
-
C. A. Opdyke, R. L. Calabrese. A persistent sodium current contributes to oscillatory activity in heart interneurons of the medicinal leech. J. Comp. Physiol. 1994. V. 175. p.781-789.
-
(1994)
J. Comp. Physiol.
, vol.175
, pp. 781-789
-
-
Opdyke, C.A.1
Calabrese, R.L.2
-
23
-
-
0034906526
-
A model of a segmental oscillator in the leech heartbeat neuronal network
-
A. Hill. J. Lu, M. Masino, O. Olsen, R. L. Calabrese. A model of a segmental oscillator in the leech heartbeat neuronal network. J. Comput. Neuroscience. 2001. V. 10. p.281-302.
-
(2001)
J. Comput. Neuroscience
, vol.10
, pp. 281-302
-
-
Hill, A.1
Lu, J.2
Masino, M.3
Olsen, O.4
Calabrese, R.L.5
-
24
-
-
34250627892
-
Geometric singular perturbation theory for ordinary differential equations
-
N. Fenichel. Geometric singular perturbation theory for ordinary differential equations. J. Diff. Eq. 1979. V. 31. p.53-98.
-
(1979)
J. Diff. Eq.
, vol.31
, pp. 53-98
-
-
Fenichel, N.1
-
25
-
-
18144427711
-
Periodic solution of a system of ordinary differential equations with a small parameter in the terms containing derivatives
-
L. S. Pontryagin, L. V. Rodygin. Periodic solution of a system of ordinary differential equations with a small parameter in the terms containing derivatives. Sov. Math. Dokl. 1960. V. 1. p.611-614.
-
(1960)
Sov. Math. Dokl.
, vol.1
, pp. 611-614
-
-
Pontryagin, L.S.1
Rodygin, L.V.2
-
26
-
-
63549120202
-
-
CONTENT is available at ftp://ftp.cwi.nl/pub/CONTENT
-
CONTENT is available at ftp://ftp.cwi.nl/pub/CONTENT.
-
-
-
|