-
3
-
-
0003799489
-
-
Cambridge University Press, Cambridge
-
T. Bohr, M. H. Jensen, G. Pladin, and A. Vulpiani, Dynamical Systems Approach to Turbulence (Cambridge University Press, Cambridge, 1998).
-
(1998)
Dynamical Systems Approach to Turbulence
-
-
Bohr, T.1
Jensen, M.H.2
Pladin, G.3
Vulpiani, A.4
-
4
-
-
0031996846
-
-
Amsterdam
-
G. Ahlers, Physica (Amsterdam) 249A, 18 (1998).
-
(1998)
Physica
, vol.249 A
, pp. 18
-
-
Ahlers, G.1
-
7
-
-
0031224179
-
-
R. Müller, K. Lippen, A. Kühnel, and U. Behn, Phys. Rev. E 56, 2658 (1997).
-
(1997)
Phys. Rev. E
, vol.56
, pp. 2658
-
-
Müller, R.1
Lippen, K.2
Kühnel, A.3
Behn, U.4
-
10
-
-
0001129382
-
-
V. S. L'vov and I. Procaccia, Phys. Rev. Lett. 69, 3543 (1992); P. Manneville and H. Chaté, Physica (Amsterdam) 96D, 30 (1996).
-
(1992)
Phys. Rev. Lett.
, vol.69
, pp. 3543
-
-
L'vov, V.S.1
Procaccia, I.2
-
11
-
-
0002853768
-
-
Amsterdam
-
V. S. L'vov and I. Procaccia, Phys. Rev. Lett. 69, 3543 (1992); P. Manneville and H. Chaté, Physica (Amsterdam) 96D, 30 (1996).
-
(1996)
Physica
, vol.96 D
, pp. 30
-
-
Manneville, P.1
Chaté, H.2
-
12
-
-
45449123010
-
-
Amsterdam
-
H. Chaté and P. Manneville, Physica (Amsterdam) 32D, 409-422 (1988); H. Chaté, Nonlinearity 7, 185-204 (1994).
-
(1988)
Physica
, vol.32 D
, pp. 409-422
-
-
Chaté, H.1
Manneville, P.2
-
13
-
-
33748335189
-
-
H. Chaté and P. Manneville, Physica (Amsterdam) 32D, 409-422 (1988); H. Chaté, Nonlinearity 7, 185-204 (1994).
-
(1994)
Nonlinearity
, vol.7
, pp. 185-204
-
-
Chaté, H.1
-
14
-
-
0031560895
-
-
A. Amengual, E. Hernández-García, R. Montagne, and M. San Miguel, Phys. Rev. Lett. 78, 4379 (1997).
-
(1997)
Phys. Rev. Lett.
, vol.78
, pp. 4379
-
-
Amengual, A.1
Hernández-García, E.2
Montagne, R.3
Miguel, M.S.4
-
16
-
-
0001373923
-
-
Amsterdam
-
M. Argentina and P. Coullet, Phys. Rev. E 56, R2359 (1997); Physica (Amsterdam) 257A, 45 (1998).
-
(1998)
Physica
, vol.257 A
, pp. 45
-
-
-
17
-
-
0031381834
-
-
Amsterdam
-
M. G. Zimmermann, S. O. Firle, M. A. Natiello, M. Hildebrand, M. Eiswirth, M. Bär, A. K. Bangia, and I. G. Kevrekidis, Physica (Amsterdam) 110D, 92-104 (1997).
-
(1997)
Physica
, vol.110 D
, pp. 92-104
-
-
Zimmermann, M.G.1
Firle, S.O.2
Natiello, M.A.3
Hildebrand, M.4
Eiswirth, M.5
Bär, M.6
Bangia, A.K.7
Kevrekidis, I.G.8
-
20
-
-
84988750179
-
-
note
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This SPDE is to be considered in the Itô interpretation such that the noise term does not alter either the location or the stability of the absorbing state at u = 0.
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21
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84988770489
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note
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This choice makes our SPDE model in the multiplicative noise universality class [9].
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-
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22
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84988750182
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note
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t = √(1 ± √1 - 3ah)/3h.
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24
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84988757282
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note
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Parameters are chosen such that nucleation events of the laminar phase occur on a much longer time scale than the one shown.
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-
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26
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-
33746010866
-
-
C. Van den Broeck, J. M. R. Parrondo, J. Armero, and A. Hernández-Machado, Phys. Rev. E 49, 2639 (1994).
-
(1994)
Phys. Rev. E
, vol.49
, pp. 2639
-
-
Van Broeck, C.D.1
Parrondo, J.M.R.2
Armero, J.3
Hernández-Machado, A.4
-
27
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84988762605
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note
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1(u)/2 = 0. Our results, instead, do not follow from the effect of such a term.
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28
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84988770501
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note
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0 (the solid line in Fig. 4).
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-
-
-
29
-
-
0000486967
-
-
C. Van den Broeck, J. M. R. Parrondo, and R. Toral, Phys. Rev. Lett. 73, 3395 (1994); C. Van den Broeck, J. M. R. Parrondo, R. Toral, and R. Kawai, Phys. Rev. E 55, 4084-4094 (1997).
-
(1994)
Phys. Rev. Lett.
, vol.73
, pp. 3395
-
-
Van Broeck, C.D.1
Parrondo, J.M.R.2
Toral, R.3
-
30
-
-
0000257575
-
-
C. Van den Broeck, J. M. R. Parrondo, and R. Toral, Phys. Rev. Lett. 73, 3395 (1994); C. Van den Broeck, J. M. R. Parrondo, R. Toral, and R. Kawai, Phys. Rev. E 55, 4084-4094 (1997).
-
(1997)
Phys. Rev. E
, vol.55
, pp. 4084-4094
-
-
Van Broeck, C.D.1
Parrondo, J.M.R.2
Toral, R.3
Kawai, R.4
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