-
1
-
-
84968502629
-
Generation and propagation of interfaces in reaction-diffusion systems
-
Chen X 1992 Generation and propagation of interfaces in reaction-diffusion systems Trans. Am. Math. Soc. 334 877-913
-
(1992)
Trans. Am. Math. Soc.
, vol.334
, Issue.2
, pp. 877-913
-
-
Chen, X.1
-
2
-
-
28844486373
-
Two distinct mechanisms of coherence in randomly perturbed dynamical systems
-
Lee DeVille R E, Vanden-Eijnden E and Muratov C B 2005 Two distinct mechanisms of coherence in randomly perturbed dynamical systems Phys. Rev. E 72 031105
-
(2005)
Phys. Rev.
, vol.72
, pp. 031105
-
-
Lee Deville, R.E.1
Vanden-Eijnden, E.2
Muratov, C.B.3
-
3
-
-
33745420598
-
Non-meanfield deterministic limits in chemical reaction kinetics far from equilibrium
-
Lee DeVille R E, Muratov C B and Vanden-Eijnden E 2006 Non-meanfield deterministic limits in chemical reaction kinetics far from equilibrium J. Chem. Phys. 124 231102
-
(2006)
J. Chem. Phys.
, vol.124
, Issue.23
, pp. 231102
-
-
Lee Deville, R.E.1
Muratov, C.B.2
Vanden-Eijnden, E.3
-
6
-
-
0000754401
-
Large fluctuations for a nonlinear heat equation with noise
-
Faris W G and Jona-Lasinio G 1982 Large fluctuations for a nonlinear heat equation with noise J. Phys. A 15 3025-55
-
(1982)
J. Phys.
, vol.15
, Issue.10
, pp. 3025-3055
-
-
Faris, W.G.1
Jona-Lasinio, G.2
-
7
-
-
0000253608
-
Pattern formation in reacting and diffusing systems
-
Fife P C 1976 Pattern formation in reacting and diffusing systems J. Chem. Phys. 64 554-64
-
(1976)
J. Chem. Phys.
, vol.64
, Issue.2
, pp. 554-564
-
-
Fife, P.C.1
-
8
-
-
0000450921
-
Thresholds and plateaus in the Hodgkin-Huxley nerve equations
-
Fitzhugh R 1960 Thresholds and plateaus in the Hodgkin-Huxley nerve equations J. Gen. Physiol. 43 867-96
-
(1960)
J. Gen. Physiol.
, vol.43
, Issue.5
, pp. 867-896
-
-
Fitzhugh, R.1
-
9
-
-
0000588313
-
Random perturbations of reaction-diffusion equations: The quasi deterministic approximation
-
Freidlin M I 1988 Random perturbations of reaction-diffusion equations: the quasi deterministic approximation Trans. Am. Math. Soc. 305 665-97
-
(1988)
Trans. Am. Math. Soc.
, vol.305
, Issue.2
, pp. 665-697
-
-
Freidlin, M.I.1
-
10
-
-
0035532611
-
On stable oscillations and equilibriums induced by small noise
-
Freidlin M I 2001 On stable oscillations and equilibriums induced by small noise J. Stat. Phys. 103 283-300
-
(2001)
J. Stat. Phys.
, vol.103
, pp. 283-300
-
-
Freidlin, M.I.1
-
12
-
-
84967743294
-
Stability of the travelling wave solution of the FitzHugh-Nagumo system
-
Jones C K R T 1984 Stability of the travelling wave solution of the FitzHugh-Nagumo system Trans. Am. Math. Soc. 286 431-69
-
(1984)
Trans. Am. Math. Soc.
, vol.286
, Issue.2
, pp. 431-469
-
-
Jones, C.K.R.T.1
-
13
-
-
0001610234
-
Noise controlled spiral growth in excitable media
-
Jung P and Mayer-Kress G 1995 Noise controlled spiral growth in excitable media CHAOS 5 458-62
-
(1995)
CHAOS
, vol.5
, Issue.2
, pp. 458-462
-
-
Jung, P.1
Mayer-Kress, G.2
-
14
-
-
0001543317
-
Waves in excitable media
-
Keener J P 1980 Waves in excitable media SIAM J. Appl. Math. 39 528-48
-
(1980)
SIAM J. Appl. Math.
, vol.39
, Issue.3
, pp. 528-548
-
-
Keener, J.P.1
-
15
-
-
84867946760
-
Magnetic elements at finite temperature and large deviation theory
-
Kohn R V, Reznikoff M and Vanden-Eijnden E 2005 Magnetic elements at finite temperature and large deviation theory J. Nonlinear Sci. 15 223-53
-
(2005)
J. Nonlinear Sci.
, vol.15
, Issue.4
, pp. 223-253
-
-
Kohn, R.V.1
Reznikoff, M.2
Vanden-Eijnden, E.3
-
17
-
-
0001883519
-
Pattern formation in excitable media
-
Meron E 1992 Pattern formation in excitable media Phys. Rep. 218 1-66
-
(1992)
Phys. Rep.
, vol.218
, Issue.1
, pp. 1-66
-
-
Meron, E.1
-
18
-
-
33947654074
-
Noise can play an organizing role for the recurrent dynamics in excitable media
-
Muratov C B, Vanden-Eijnden E and Weinan E 2006 Noise can play an organizing role for the recurrent dynamics in excitable media Proc. Natl Acad. Sci. submitted
-
(2006)
Proc. Natl Acad. Sci.
-
-
Muratov, C.B.1
Vanden-Eijnden, E.2
Weinan, E.3
-
20
-
-
3042538112
-
Stability of travelling multiple-front (multiple-back) wave solutions of the FitzHugh-Nagumo equations
-
Nii S 1997 Stability of travelling multiple-front (multiple-back) wave solutions of the FitzHugh-Nagumo equations SIAM J. Math. Anal. 28 1094-112
-
(1997)
SIAM J. Math. Anal.
, vol.28
, Issue.5
, pp. 1094-1112
-
-
Nii, S.1
-
21
-
-
33947624438
-
-
Reznikoff M 2004 Rare events in finite and infinite dimensions PhD Thesis New York University
-
(2004)
PhD Thesis
-
-
Reznikoff, M.1
-
22
-
-
0002401018
-
Kinematic analysis of wave pattern formation in excitable media
-
Rinzel J and Maginu K 1984 Kinematic analysis of wave pattern formation in excitable media Nonequilibrium Dynamics in Chemical Systems (Bordeaux, 1984) (Springer Series in Synergetics) vol 27 (Berlin: Springer) pp 107-113
-
(1984)
Nonequilibrium Dynamics in Chemical Systems
, vol.27
, pp. 107-113
-
-
Rinzel, J.1
Maginu, K.2
-
23
-
-
17644388473
-
Nucleation of waves in excitable media by noise
-
Shardlow T 2004 Nucleation of waves in excitable media by noise Multiscale Models Simul. 3 151-67
-
(2004)
Multiscale Models Simul.
, vol.3
, Issue.1
, pp. 151-167
-
-
Shardlow, T.1
-
24
-
-
10644245188
-
Numerical simulation of stochastic PDEs for excitable media
-
Shardlow T 2005 Numerical simulation of stochastic PDEs for excitable media J. Comput. Appl. Math. 175 429-46
-
(2005)
J. Comput. Appl. Math.
, vol.175
, Issue.2
, pp. 429-446
-
-
Shardlow, T.1
-
25
-
-
21344451118
-
Phase-field theory for Fitzhugh-Nagumo-type systems
-
Soravia P and Souganidis P E 1996 Phase-field theory for Fitzhugh-Nagumo-type systems SIAM J. Math. Anal. 27 1341-59
-
(1996)
SIAM J. Math. Anal.
, vol.27
, Issue.5
, pp. 1341-1359
-
-
Soravia, P.1
Souganidis, P.E.2
-
26
-
-
36749117168
-
Target Patterns in a realistic model of the Belousov-Zhabotinskii Reaction
-
Fife C P and Tyson J J 1980 Target Patterns in a realistic model of the Belousov-Zhabotinskii Reaction J. Chem. Phys. 73 2224-37
-
(1980)
J. Chem. Phys.
, vol.73
, Issue.5
, pp. 2224-2237
-
-
Fife, C.P.1
Tyson, J.J.2
-
27
-
-
45449123944
-
Singular perturbation theory of traveling waves in excitable media (a review)
-
Tyson J J and Keener J P 1988 Singular perturbation theory of traveling waves in excitable media (a review) Physica D 32 327-61
-
(1988)
Physica D
, vol.32
, Issue.3
, pp. 327-361
-
-
Tyson, J.J.1
Keener, J.P.2
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