-
1
-
-
6244299076
-
Theory of interaction and bound states of spiral waves in oscillatory media
-
I. S. ARANSON, L. KRAMER, AND A. WEBER, Theory of interaction and bound states of spiral waves in oscillatory media, Phys. Rev. E, 47 (1993), pp. 3231-3241.
-
(1993)
Phys. Rev. E
, vol.47
, pp. 3231-3241
-
-
Aranson, I.S.1
Kramer, L.2
Weber, A.3
-
2
-
-
42749108525
-
Bifurcation and stability analysis of rotating chemical spirals in circular domains: Boundary-induced meandering and stabilization
-
M. BÄR, A. K. BANGIA, AND I. G. KEVREKIDIS, Bifurcation and stability analysis of rotating chemical spirals in circular domains: Boundary-induced meandering and stabilization, Phys. Rev. E (3), 67 (2003), 056126.
-
(2003)
Phys. Rev. E (3)
, vol.67
, pp. 056126
-
-
Bär, M.1
Bangia, A.K.2
Kevrekidis, I.G.3
-
3
-
-
7044228895
-
Linear stability analysis of rotating spiral waves in excitable media
-
D. BARKLEY, Linear stability analysis of rotating spiral waves in excitable media, Phys. Rev. Lett., 68 (1992), pp. 2090-2093.
-
(1992)
Phys. Rev. Lett.
, vol.68
, pp. 2090-2093
-
-
Barkley, D.1
-
4
-
-
4243665470
-
Euclidian symmetry and the dynamics of rotating spiral waves
-
D. BARKLEY, Euclidian symmetry and the dynamics of rotating spiral waves, Phys. Rev. Lett., 72 (1994), pp. 164-167.
-
(1994)
Phys. Rev. Lett.
, vol.72
, pp. 164-167
-
-
Barkley, D.1
-
5
-
-
0038853486
-
Three dimensional aspects of re-entry in experimental and numerical models of ventricular fibrillation
-
V. N. BIKTASHEV, A. V. HOLDEN, S. F. MIRONOV, A. M. PERTSOV, AND A. V. ZAITSEV, Three dimensional aspects of re-entry in experimental and numerical models of ventricular fibrillation, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 9 (1999), pp. 694-704.
-
(1999)
Internat. J. Bifur. Chaos Appl. Sci. Engrg.
, vol.9
, pp. 694-704
-
-
Biktashev, V.N.1
Holden, A.V.2
Mironov, S.F.3
Pertsov, A.M.4
Zaitsev, A.V.5
-
6
-
-
33644880119
-
-
Personal communication
-
S. COOMBES, Personal communication, 2004.
-
(2004)
-
-
Coombes, S.1
-
7
-
-
0037446036
-
Waves and bumps in neuronal networks with axo-dendritic synaptic interactions
-
S. COOMBES, G. J. LORD, AND M. R. OWEN, Waves and bumps in neuronal networks with axo-dendritic synaptic interactions, Phys. D, 178 (2003), pp. 219-241.
-
(2003)
Phys. D
, vol.178
, pp. 219-241
-
-
Coombes, S.1
Lord, G.J.2
Owen, M.R.3
-
8
-
-
0031011039
-
Self-induced splitting of spired-shaped spreading depression waves in chicken retina
-
M. A. DAHLEM AND S. C. MÜLLER, Self-induced splitting of spired-shaped spreading depression waves in chicken retina, Exp. Brain Res., 115 (1997), pp. 319-324.
-
(1997)
Exp. Brain Res.
, vol.115
, pp. 319-324
-
-
Dahlem, M.A.1
Müller, S.C.2
-
9
-
-
0001104658
-
Neural networks as spatio-temporal pattern-forming systems
-
B. ERMENTROUT, Neural networks as spatio-temporal pattern-forming systems, Rep. Progr. Phys., 61 (1998), pp. 353-430.
-
(1998)
Rep. Progr. Phys.
, vol.61
, pp. 353-430
-
-
Ermentrout, B.1
-
10
-
-
0029374551
-
Spontaneous excitations in the visual cortex: Stripes, spirals, rings, and collective bursts
-
C. FOHLMEISTER, W. GERSTNEH, R. RITZ, AND J. L. VAN HEMMEN, Spontaneous excitations in the visual cortex: Stripes, spirals, rings, and collective bursts, Neural Comput., 7 (1995), pp. 905-914.
-
(1995)
Neural Comput.
, vol.7
, pp. 905-914
-
-
Fohlmeister, C.1
Gerstneh, W.2
Ritz, R.3
Van Hemmen, J.L.4
-
11
-
-
16344393249
-
Breathing pulses in an excitatory neural network
-
S. E. FOLIAS AND P. C. BRESSLOFF, Breathing pulses in an excitatory neural network, SIAM J. Appl. Dyn. Syst., 3 (2004), pp. 378-407.
-
(2004)
SIAM J. Appl. Dyn. Syst.
, vol.3
, pp. 378-407
-
-
Folias, S.E.1
Bressloff, P.C.2
-
13
-
-
4243706164
-
Theory of spiral wave dynamics in weakly excitable media: Asymptotic reduction to a kinematic model and applications
-
V. HAKIM AND A. KARMA, Theory of spiral wave dynamics in weakly excitable media: Asymptotic reduction to a kinematic model and applications, Phys. Rev. E (3), 60 (1999), pp. 5073-5105.
-
(1999)
Phys. Rev. E (3)
, vol.60
, pp. 5073-5105
-
-
Hakim, V.1
Karma, A.2
-
14
-
-
0031881565
-
Spiral intercellular calcium waves in hippocampal slice cultures
-
M. E. HARRIS-WHITE, S. A. ZANOTTI, S. A. FRAUTSCHY, AND A. C. CHARLES, Spiral intercellular calcium waves in hippocampal slice cultures, J. Neurophysiol., 79 (1998), pp. 1045-1052.
-
(1998)
J. Neurophysiol.
, vol.79
, pp. 1045-1052
-
-
Harris-White, M.E.1
Zanotti, S.A.2
Frautschy, S.A.3
Charles, A.C.4
-
15
-
-
0003377812
-
Rotating chemical, waves in small circular domains
-
N. HARTMANN, M. BÄR, I. G. KEVREKEDIS, K. KRISCHER, AND R. IMBIHL, Rotating chemical, waves in small circular domains, Phys. Rev. Lett., 76 (1996), pp. 1384-1387.
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 1384-1387
-
-
Hartmann, N.1
Bär, M.2
Kevrekedis, I.G.3
Krischer, K.4
Imbihl, R.5
-
16
-
-
0034504068
-
Target waves in the complex Ginzburg-Landau equation
-
M. HENDREY, K. NAM, P. GUZDAR, AND E. OTT, Target waves in the complex Ginzburg-Landau equation, Phys. Rev. E (3), 62 (2000), pp. 7627-7631.
-
(2000)
Phys. Rev. E (3)
, vol.62
, pp. 7627-7631
-
-
Hendrey, M.1
Nam, K.2
Guzdar, P.3
Ott, E.4
-
17
-
-
0031573118
-
Solitary waves of integrate-and-fire neural models
-
D. HORN AND I. OPHER, Solitary waves of integrate-and-fire neural models, Neural Comput., 9 (1997), pp. 1677-1690.
-
(1997)
Neural Comput.
, vol.9
, pp. 1677-1690
-
-
Horn, D.1
Opher, I.2
-
19
-
-
0000392679
-
Modeling collective excitations in cortical tissue
-
W. M. KISTLER, R. SEITZ, AND J. L. VAN HEMMEN, Modeling collective excitations in cortical tissue, Phys. D, 114 (1998), pp. 273-295.
-
(1998)
Phys. D
, vol.114
, pp. 273-295
-
-
Kistler, W.M.1
Seitz, R.2
Van Hemmen, J.L.3
-
20
-
-
0036706393
-
Multiple bumps in a neuronal model of working memory
-
C. R. LAING, W. C. TROY, B. GUTKIN, AND G. B. ERMENTROUT, Multiple bumps in a neuronal model of working memory, SIAM J. Appl. Math., 63 (2002), pp. 62-97.
-
(2002)
SIAM J. Appl. Math.
, vol.63
, pp. 62-97
-
-
Laing, C.R.1
Troy, W.C.2
Gutkin, B.3
Ermentrout, G.B.4
-
22
-
-
0037446124
-
Two-bump solutions of Amari-type models of neuronal pattern formation
-
C. R. LAING AND W. C. TROY, Two-bump solutions of Amari-type models of neuronal pattern formation, Phys. D, 178 (2003), pp. 190-218.
-
(2003)
Phys. D
, vol.178
, pp. 190-218
-
-
Laing, C.R.1
Troy, W.C.2
-
23
-
-
0001248698
-
Transition from simple rotating chemical spirals to meandering and traveling spirals
-
G. LI, Q. OUYANG, V. PETROV, AND H. L. SWINNEY, Transition from simple rotating chemical spirals to meandering and traveling spirals, Phys. Rev. Lett., 77 (1996), pp. 2105-2108.
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 2105-2108
-
-
Li, G.1
Ouyang, Q.2
Petrov, V.3
Swinney, H.L.4
-
24
-
-
0000733852
-
Resonant phase patterns in a reaction-diffusion system
-
A. L. LIN, M. BERTRAM, K. MARTINEZ, AND H. L. SWINNEY, Resonant phase patterns in a reaction-diffusion system, Phys. Rev. Lett., 84 (2000), pp. 4240-4243.
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 4240-4243
-
-
Lin, A.L.1
Bertram, M.2
Martinez, K.3
Swinney, H.L.4
-
25
-
-
42749108438
-
Resonance tongues and patterns in periodically forced reaction-diffusion systems
-
A. L. LIN, A. HAGBERG, E. MERON, AND H. L. SWINNEY, Resonance tongues and patterns in periodically forced reaction-diffusion systems, Phys. Rev. E (3), 69 (2004), p. 066217.
-
(2004)
Phys. Rev. E (3)
, vol.69
, pp. 066217
-
-
Lin, A.L.1
Hagberg, A.2
Meron, E.3
Swinney, H.L.4
-
26
-
-
0035081994
-
Spike-frequency adaptation of a generalized leaky integrate-and-fire model neuron
-
Y. H. LIU AND X. J. WANG, Spike-frequency adaptation of a generalized leaky integrate-and-fire model neuron, J. Comput. Neurosci., 10 (2001), pp. 25-45.
-
(2001)
J. Comput. Neurosci.
, vol.10
, pp. 25-45
-
-
Liu, Y.H.1
Wang, X.J.2
-
27
-
-
33644932033
-
-
THE MATHWORKS, MATLAB, Natick, MA
-
THE MATHWORKS, MATLAB, Natick, MA.
-
-
-
-
28
-
-
0001108678
-
Impact of global interaction on pattern formation on a disk
-
U. MIDDYA AND D. LUSS, Impact of global interaction on pattern formation on a disk, J. Chem. Phys., 102 (1995), pp. 5029-5036.
-
(1995)
J. Chem. Phys.
, vol.102
, pp. 5029-5036
-
-
Middya, U.1
Luss, D.2
-
29
-
-
0038772074
-
-
J. MILTON AND P. JUNG, EDS., Springer-Verlag, New York
-
J. MILTON AND P. JUNG, EDS., Epilepsy as a Dynamical Disease, Springer-Verlag, New York, 2003.
-
(2003)
Epilepsy As A Dynamical Disease
-
-
-
31
-
-
0028516641
-
The existence of spiral waves in an oscillatory reaction-diffusion system
-
J. PAULLET, B. ERMENTROUT, AND W. TROY, The existence of spiral waves in an oscillatory reaction-diffusion system, SIAM J. Appl. Math., 54 (1994), pp. 1386-1401.
-
(1994)
SIAM J. Appl. Math.
, vol.54
, pp. 1386-1401
-
-
Paullet, J.1
Ermentrout, B.2
Troy, W.3
-
32
-
-
0036226617
-
Spatially structured activity in synaptically coupled neuronal networks: 1. Traveling fronts and pulses
-
D. J. PINTO AND G. B. ERMENTROUT, Spatially structured activity in synaptically coupled neuronal networks: 1. Traveling fronts and pulses, SIAM J. Appl. Math., 62 (2001), pp. 206-225.
-
(2001)
SIAM J. Appl. Math.
, vol.62
, pp. 206-225
-
-
Pinto, D.J.1
Ermentrout, G.B.2
-
33
-
-
0036229681
-
Spatially structured activity in synaptically coupled neuronal networks: 11. Lateral inhibition and standing pulses
-
D. J. PINTO AND G. B. ERMENTROUT, Spatially structured activity in synaptically coupled neuronal networks: 11. Lateral inhibition and standing pulses, SIAM J. Appl. Math., 62 (2001), pp. 226-243.
-
(2001)
SIAM J. Appl. Math.
, vol.62
, pp. 226-243
-
-
Pinto, D.J.1
Ermentrout, G.B.2
-
34
-
-
0030738204
-
Visual stimuli induce waves of electrical activity in turtle cortex
-
J. C. PRECHTL, L. B. COHEN, B. PESARAN, P. P. MITRA, AND D. KLEINFELD, Visual stimuli induce waves of electrical activity in turtle cortex, Proc. Natl. Acad. Sci. USA, 94 (1997), pp. 7621-7626.
-
(1997)
Proc. Natl. Acad. Sci. USA
, vol.94
, pp. 7621-7626
-
-
Prechtl, J.C.1
Cohen, L.B.2
Pesaran, B.3
Mitra, P.P.4
Kleinfeld, D.5
-
35
-
-
0040243453
-
Frequency locking of meandering spiral waves in cardiac tissue
-
B. J. ROTH, Frequency locking of meandering spiral waves in cardiac tissue, Phys. Rev. E (3), 57 (1998), pp. 3735-3738.
-
(1998)
Phys. Rev. E (3)
, vol.57
, pp. 3735-3738
-
-
Roth, B.J.1
-
36
-
-
0040332090
-
Meandering of spiral waves in anisotropic cardiac tissue
-
B. J. ROTH, Meandering of spiral waves in anisotropic cardiac tissue, Phys. D, 150 (2001), pp. 127-136.
-
(2001)
Phys. D
, vol.150
, pp. 127-136
-
-
Roth, B.J.1
-
37
-
-
0032361995
-
Bifurcation to spiral waves in reaction-diffusion systems
-
A. SCHEEL, Bifurcation to spiral waves in reaction-diffusion systems, SIAM J. Math. Anal., 29 (1998), pp. 1399-1418.
-
(1998)
SIAM J. Math. Anal.
, vol.29
, pp. 1399-1418
-
-
Scheel, A.1
-
38
-
-
0001091987
-
Motions of spiral waves in oscillatory media and in the presence of obstacles
-
J. A. SEPULCHRE AND A. BABLOYANTZ, Motions of spiral waves in oscillatory media and in the presence of obstacles, Phys. Rev. E, 48 (1993), pp. 187-195.
-
(1993)
Phys. Rev. E
, vol.48
, pp. 187-195
-
-
Sepulchre, J.A.1
Babloyantz, A.2
-
39
-
-
0003027876
-
Oscillatory cortical activity during visual hallucinations
-
P. TASS, Oscillatory cortical activity during visual hallucinations, J. Biol. Phys., 23 (1997), pp. 21-66.
-
(1997)
J. Biol. Phys.
, vol.23
, pp. 21-66
-
-
Tass, P.1
-
40
-
-
0010423621
-
Multiarmed spirals in excitable media
-
B. VASIEV, F. SIEGERT, AND C. WEIJER, Multiarmed spirals in excitable media, Phys. Rev. Lett., 78 (1997), pp. 2489-2492.
-
(1997)
Phys. Rev. Lett.
, vol.78
, pp. 2489-2492
-
-
Vasiev, B.1
Siegert, F.2
Weijer, C.3
-
41
-
-
34548122257
-
Are cardiac waves relevant to epileptic wave propagation?
-
J. Milton and P. Jung, eds., Springer-Verlag, New York
-
A. WINFREE, Are cardiac waves relevant to epileptic wave propagation?, in Epilepsy as a Dynamical Disease, J. Milton and P. Jung, eds., Springer-Verlag, New York, 2003.
-
(2003)
Epilepsy as a Dynamical Disease
-
-
Winfree, A.1
-
42
-
-
41349088575
-
Stable spiral structures and their interaction in two-dimensional excitable media
-
R. M. ZARITSKI AND A. M. PEHTSOV, Stable spiral structures and their interaction in two-dimensional excitable media, Phys. Rev. E (3), 66 (2002), 066120.
-
(2002)
Phys. Rev. E (3)
, vol.66
, pp. 066120
-
-
Zaritski, R.M.1
Pehtsov, A.M.2
-
43
-
-
37649030349
-
Dynamics of spiral waves under global feedback in excitable domains of different shapes
-
V. S. ZYKOV AND H. ENGEL, Dynamics of spiral waves under global feedback in excitable domains of different shapes, Phys. Rev. E (3), 70 (2004), 016201.
-
(2004)
Phys. Rev. E (3)
, vol.70
, pp. 016201
-
-
Zykov, V.S.1
Engel, H.2
-
44
-
-
4243094905
-
Controlling spiral waves in confined geometries by global feedback
-
V. S. ZYKOV, A. S. MIKHAILOV, AND S. C. MÜLLER, Controlling spiral waves in confined geometries by global feedback, Phys. Rev. Lett., 78 (1997), pp. 3398-3401.
-
(1997)
Phys. Rev. Lett.
, vol.78
, pp. 3398-3401
-
-
Zykov, V.S.1
Mikhailov, A.S.2
Müller, S.C.3
|