-
2
-
-
12044252828
-
Pattern formation outside of equilibrium
-
Cross M.C., Hohenberg P.C. Pattern formation outside of equilibrium. Rev. Mod. Phys. 65:1993;851-1112.
-
(1993)
Rev. Mod. Phys.
, vol.65
, pp. 851-1112
-
-
Cross, M.C.1
Hohenberg, P.C.2
-
3
-
-
0000484304
-
The time-dependent amplitude equation for the Swift-Hohenberg problem
-
Collet P., Eckmann J.-P. The time-dependent amplitude equation for the Swift-Hohenberg problem. Commun. Math. Phys. 132:1990;139-153.
-
(1990)
Commun. Math. Phys.
, vol.132
, pp. 139-153
-
-
Collet, P.1
Eckmann, J.-P.2
-
4
-
-
0343318679
-
Amplitude analysis of the Swift-Hohenberg equation
-
P. Collet, Amplitude analysis of the Swift-Hohenberg equation, Eur. J. Mech. B 10 (Suppl. 2) (1991) 119-124.
-
(1991)
Eur. J. Mech. B
, vol.10
, Issue.SUPPL. 2
, pp. 119-124
-
-
Collet, P.1
-
5
-
-
0001545279
-
On the validity of the Ginzburg-Landau equation
-
van Harten A. On the validity of the Ginzburg-Landau equation. J. Nonlinear Sci. 1:1991;397-422.
-
(1991)
J. Nonlinear Sci.
, vol.1
, pp. 397-422
-
-
Van Harten, A.1
-
7
-
-
0001656215
-
Error estimates for the Ginzburg-Landau approximation
-
Schneider G. Error estimates for the Ginzburg-Landau approximation. Z. Angew. Math. Phys. 45:1994;433-457.
-
(1994)
Z. Angew. Math. Phys.
, vol.45
, pp. 433-457
-
-
Schneider, G.1
-
8
-
-
21344476138
-
Global existence via Ginzburg-Landau formalism and pseudo-orbits of Ginzburg-Landau approximations
-
Schneider G. Global existence via Ginzburg-Landau formalism and pseudo-orbits of Ginzburg-Landau approximations. Commun. Math. Phys. 164:1994;157-179.
-
(1994)
Commun. Math. Phys.
, vol.164
, pp. 157-179
-
-
Schneider, G.1
-
9
-
-
0002339568
-
On the justification of the Ginzburg-Landau approximation
-
in: A. Doelman, A. van Harten (Eds.) Longman, New York and references quoted therein
-
P. Bollerman, A. van Harten, G. Schneider, On the justification of the Ginzburg-Landau approximation, in: A. Doelman, A. van Harten (Eds.), Nonlinear Dynamics and Pattern Formation in the Natural Environment, Pitman Research Notes in Mathematics, Vol. 335, Longman, New York, 1995, pp. 20-36, and references quoted therein.
-
(1995)
Nonlinear Dynamics and Pattern Formation in the Natural Environment, Pitman Research Notes in Mathematics
, vol.335
, pp. 20-36
-
-
Bollerman, P.1
Van Harten, A.2
Schneider, G.3
-
10
-
-
0000454926
-
Attractors for modulation equations on unbounded domains - Existence and comparison
-
Mielke A., Schneider G. Attractors for modulation equations on unbounded domains - existence and comparison. Nonlinearity. 8:1995;743-768.
-
(1995)
Nonlinearity
, vol.8
, pp. 743-768
-
-
Mielke, A.1
Schneider, G.2
-
11
-
-
0009275546
-
-
(Eds.) Springer, Berlin
-
J.E. Wesfreid, H.R. Brand, P. Manneville, G. Albinet, N. Boccara (Eds.), Propagation in Systems Far from Equilibrium, Springer, Berlin, 1988.
-
(1988)
Propagation in Systems Far from Equilibrium
-
-
Wesfreid, J.E.1
Brand, H.R.2
Manneville, P.3
Albinet, G.4
Boccara, N.5
-
14
-
-
4243776283
-
Pattern Formation and Instabilities in Continuous Dissipative Systems
-
(Eds.)
-
H.R. Brand, H. Flaschka, A.C. Newell (Eds.), Pattern Formation and Instabilities in Continuous Dissipative Systems, Physica D 97 (1-3) (1996).
-
(1996)
Physica D
, vol.97
, Issue.1-3
-
-
Brand, H.R.1
Flaschka, H.2
Newell, A.C.3
-
15
-
-
0000882460
-
Special issue on nonlinear optical structures, patterns, chaos
-
(Eds.)
-
L.A. Lugiato, M.S. El Naschie (Eds.), Special issue on nonlinear optical structures, patterns, chaos, Chaos, Solitons and Fractals 4 (8-9) (1994).
-
(1994)
Chaos, Solitons and Fractals
, vol.4
, Issue.8-9
-
-
Lugiato, L.A.1
El Naschie, M.S.2
-
16
-
-
0006490006
-
Measures of Spatio-temporal Dynamics
-
(Eds.)
-
A.M. Albano, P.E. Rapp, N.B. Abraham, A. Passamante (Eds.), Measures of Spatio-temporal Dynamics, Physica D 96 (1-4) (1996).
-
(1996)
Physica D
, vol.96
, Issue.1-4
-
-
Albano, A.M.1
Rapp, P.E.2
Abraham, N.B.3
Passamante, A.4
-
17
-
-
0003001381
-
Formations of spatial patterns and holes in the generalized Ginzburg-Landau equation
-
Bekki N., Nozaki K. Formations of spatial patterns and holes in the generalized Ginzburg-Landau equation. Phys. Lett. A. 110:1985;133-135.
-
(1985)
Phys. Lett. a
, vol.110
, pp. 133-135
-
-
Bekki, N.1
Nozaki, K.2
-
18
-
-
0003351373
-
Chemical Oscillations, Waves and Turbulence
-
Springer, Berlin
-
Y. Kuramoto, Chemical Oscillations, Waves and Turbulence, Springer Series in Synergetics, Vol. 19, Springer, Berlin, 1984.
-
(1984)
Springer Series in Synergetics
, vol.19
-
-
Kuramoto, Y.1
-
20
-
-
0000873856
-
Envelope equations
-
American Mathematical Society, Providence, RI
-
A.C. Newell, Envelope equations, in: Lectures in Applied Mathematics, Nonlinear Wave Motion, Vol. 15, American Mathematical Society, Providence, RI, 1974, pp. 157-163.
-
(1974)
In: Lectures in Applied Mathematics, Nonlinear Wave Motion
, vol.15
, pp. 157-163
-
-
Newell, A.C.1
-
21
-
-
0004286934
-
-
Springer, New York
-
H. Haken, Synergetics, Springer, New York, 1978.
-
(1978)
Synergetics
-
-
Haken, H.1
-
23
-
-
0000507179
-
Persistent propagation of concentration waves in dissipative media far from thermal equilibrium
-
Kuramoto Y., Tsuzuki T. Persistent propagation of concentration waves in dissipative media far from thermal equilibrium. Prog. Theoret. Phys. 55:1976;356-369.
-
(1976)
Prog. Theoret. Phys.
, vol.55
, pp. 356-369
-
-
Kuramoto, Y.1
Tsuzuki, T.2
-
24
-
-
0017554878
-
Nonlinear analysis of hydrodynamic instability in laminar flames. I. Derivation of basic equations
-
Sivashinsky G.I. Nonlinear analysis of hydrodynamic instability in laminar flames. I. Derivation of basic equations. Acta Astron. 4:1977;1177-1206.
-
(1977)
Acta Astron.
, vol.4
, pp. 1177-1206
-
-
Sivashinsky, G.I.1
-
25
-
-
0001471553
-
Breakdown of the phase dynamics
-
Sakaguchi H. Breakdown of the phase dynamics. Prog. Theoret. Phys. 84:1990;792-800.
-
(1990)
Prog. Theoret. Phys.
, vol.84
, pp. 792-800
-
-
Sakaguchi, H.1
-
26
-
-
0018702717
-
Stability and fluctuations of a spatially periodic convective flow
-
Pomeau Y., Manneville P. Stability and fluctuations of a spatially periodic convective flow. J. Phys. Lett. Paris. 40:1979;L609-L612.
-
(1979)
J. Phys. Lett. Paris
, vol.40
-
-
Pomeau, Y.1
Manneville, P.2
-
28
-
-
0024704294
-
A form of turbulence associated with defects
-
Coullet P., Gil L., Lega J. A form of turbulence associated with defects. Physica D. 37:1989;91-103.
-
(1989)
Physica D
, vol.37
, pp. 91-103
-
-
Coullet, P.1
Gil, L.2
Lega, J.3
-
29
-
-
84956120762
-
Defect-mediated turbulence in wave patterns
-
Coullet P., Lega J. Defect-mediated turbulence in wave patterns. Europhys. Lett. 7:1988;511-516.
-
(1988)
Europhys. Lett.
, vol.7
, pp. 511-516
-
-
Coullet, P.1
Lega, J.2
-
30
-
-
0001483038
-
Traveling waves and defect-initiated turbulence in electroconvecting nematics
-
Rehberg I., Rasenat S., Steinberg V. Traveling waves and defect-initiated turbulence in electroconvecting nematics. Phys. Rev. Lett. 62:1989;756-759.
-
(1989)
Phys. Rev. Lett.
, vol.62
, pp. 756-759
-
-
Rehberg, I.1
Rasenat, S.2
Steinberg, V.3
-
31
-
-
4043097649
-
Phase diagram of the two-dimensional complex Ginzburg-Landau equation
-
Chaté H., Manneville P. Phase diagram of the two-dimensional complex Ginzburg-Landau equation. Physica A. 224:1996;348-368.
-
(1996)
Physica a
, vol.224
, pp. 348-368
-
-
Chaté, H.1
Manneville, P.2
-
32
-
-
0002853768
-
Phase turbulence in the two-dimensional complex Ginzburg-Landau equation
-
Manneville P., Chaté H. Phase turbulence in the two-dimensional complex Ginzburg-Landau equation. Physica D. 96:1996;30-46.
-
(1996)
Physica D
, vol.96
, pp. 30-46
-
-
Manneville, P.1
Chaté, H.2
-
33
-
-
44049114472
-
Spatiotemporal chaos in the one-dimensional complex Ginzburg-Landau equation
-
Schraiman B.I., Pumir A., van Saarloos W., Hohenberg P.C., Chaté H., Holen M. Spatiotemporal chaos in the one-dimensional complex Ginzburg-Landau equation. Physica D. 57:1992;241-248.
-
(1992)
Physica D
, vol.57
, pp. 241-248
-
-
Schraiman, B.I.1
Pumir, A.2
Van Saarloos, W.3
Hohenberg, P.C.4
Chaté, H.5
Holen, M.6
-
34
-
-
0041195842
-
Space and time intermittency behaviour of a one-dimensional Ginzburg-Landau equation
-
Gil L. Space and time intermittency behaviour of a one-dimensional Ginzburg-Landau equation. Nonlinearity. 4:1991;1213-1222.
-
(1991)
Nonlinearity
, vol.4
, pp. 1213-1222
-
-
Gil, L.1
-
36
-
-
33748335189
-
Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equation
-
Chaté H. Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equation. Nonlinearity. 7:1994;185-204.
-
(1994)
Nonlinearity
, vol.7
, pp. 185-204
-
-
Chaté, H.1
-
37
-
-
0000558599
-
Building blocks of spatiotemporal intermittency
-
van Hecke M. Building blocks of spatiotemporal intermittency. Phys. Rev. Lett. 80:1998;1896-1899.
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 1896-1899
-
-
Van Hecke, M.1
-
38
-
-
0035873577
-
Dispersive wave turbulence in one dimension
-
D. Cai, A.J. Majda, D.W. McLaughlin, E.G. Tabak, Dispersive wave turbulence in one dimension, Physica D 152-153 (2001) 551-572.
-
(2001)
Physica D
, vol.152-153
, pp. 551-572
-
-
Cai, D.1
Majda, A.J.2
McLaughlin, D.W.3
Tabak, E.G.4
-
40
-
-
0004303219
-
-
Springer, Berlin
-
V.E. Zakharov, V.S. L'vov, G. Falkovich, Kolmogorov Spectra of Turbulence, Springer, Berlin, 1992.
-
(1992)
Kolmogorov Spectra of Turbulence
-
-
Zakharov, V.E.1
L'Vov, V.S.2
Falkovich, G.3
-
41
-
-
0002961857
-
Direct method of finding exact solutions of nonlinear evolution equations
-
in: R.M. Miura (Ed.) Springer, Berlin
-
R. Hirota, Direct method of finding exact solutions of nonlinear evolution equations, in: R.M. Miura (Ed.), Bäcklund Transformations, Lecture Notes in Mathematics, Vol. 515, Springer, Berlin, 1976, pp. 40-68.
-
(1976)
Bäcklund Transformations, Lecture Notes in Mathematics
, vol.515
, pp. 40-68
-
-
Hirota, R.1
-
42
-
-
44049115047
-
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
-
van Saarloos W., Hohenberg P.C. Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Physica D. 56:1992;303-367.
-
(1992)
Physica D
, vol.56
, pp. 303-367
-
-
Van Saarloos, W.1
Hohenberg, P.C.2
-
43
-
-
58149209842
-
Hole solutions in the 1D complex Ginzburg-Landau equation
-
Popp S., Stiller O., Aranson I., Kramer L. Hole solutions in the 1D complex Ginzburg-Landau equation. Physica D. 84:1995;398-423.
-
(1995)
Physica D
, vol.84
, pp. 398-423
-
-
Popp, S.1
Stiller, O.2
Aranson, I.3
Kramer, L.4
-
44
-
-
22244440233
-
Breaking the hidden symmetry in the Ginzburg-Landau equation
-
Doelman A. Breaking the hidden symmetry in the Ginzburg-Landau equation. Physica D. 97:1996;398-428.
-
(1996)
Physica D
, vol.97
, pp. 398-428
-
-
Doelman, A.1
-
45
-
-
0000902465
-
Traveling hole solutions to the complex Ginzburg-Landau equation as perturbations of nonlinear Schrödinger dark solitons
-
Lega J., Fauve S. Traveling hole solutions to the complex Ginzburg-Landau equation as perturbations of nonlinear Schrödinger dark solitons. Physica D. 102:1997;234-252.
-
(1997)
Physica D
, vol.102
, pp. 234-252
-
-
Lega, J.1
Fauve, S.2
-
46
-
-
0000884205
-
Localized hole solutions and spatiotemporal chaos in the 1D complex Ginzburg-Landau equation
-
Popp S., Stiller O., Aranson I., Weber A., Kramer L. Localized hole solutions and spatiotemporal chaos in the 1D complex Ginzburg-Landau equation. Phys. Rev. Lett. 70:1993;3880-3883.
-
(1993)
Phys. Rev. Lett.
, vol.70
, pp. 3880-3883
-
-
Popp, S.1
Stiller, O.2
Aranson, I.3
Weber, A.4
Kramer, L.5
-
47
-
-
0000843673
-
From dark solitons in the defocusing nonlinear Schrödinger equation to holes in the complex Ginzburg-Landau equation
-
Stiller O., Popp S., Kramer L. From dark solitons in the defocusing nonlinear Schrödinger equation to holes in the complex Ginzburg-Landau equation. Physica D. 84:1995;424-436.
-
(1995)
Physica D
, vol.84
, pp. 424-436
-
-
Stiller, O.1
Popp, S.2
Kramer, L.3
-
48
-
-
0000030308
-
One-dimensional 'spirals': Novel asynchronous chemical wave sources
-
Perraud J.-J., De Wit A., Dulos E., De Kepper P., Dewel P., Borckmans P. One-dimensional 'spirals': novel asynchronous chemical wave sources. Phys. Rev. Lett. 71:1993;1272-1275.
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 1272-1275
-
-
Perraud, J.-J.1
De Wit, A.2
Dulos, E.3
De Kepper, P.4
Dewel, P.5
Borckmans, P.6
-
49
-
-
0001246139
-
Model for the transition in bluff body wakes
-
Leweke T., Provensal M. Model for the transition in bluff body wakes. Phys. Rev. Lett. 72:1994;3174-3177.
-
(1994)
Phys. Rev. Lett.
, vol.72
, pp. 3174-3177
-
-
Leweke, T.1
Provensal, M.2
-
51
-
-
0343676826
-
Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion
-
Hasegawa A., Tappert F. Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion. Appl. Phys. Lett. 23:1973;142-144.
-
(1973)
Appl. Phys. Lett.
, vol.23
, pp. 142-144
-
-
Hasegawa, A.1
Tappert, F.2
-
52
-
-
84975576394
-
Solitary pulses in an amplified nonlinear dispersive medium
-
Bélanger P.A., Gagnon L., Paré C. Solitary pulses in an amplified nonlinear dispersive medium. Opt. Lett. 14:1989;943-945.
-
(1989)
Opt. Lett.
, vol.14
, pp. 943-945
-
-
Bélanger, P.A.1
Gagnon, L.2
Paré, C.3
-
53
-
-
36849110613
-
Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. II. Normal dispersion
-
Hasegawa A., Tappert F. Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. II. Normal dispersion. Appl. Phys. Lett. 23:1973;171-172.
-
(1973)
Appl. Phys. Lett.
, vol.23
, pp. 171-172
-
-
Hasegawa, A.1
Tappert, F.2
-
54
-
-
0000169358
-
Interaction between solitons in a stable medium
-
V.E. Zakharov, A.B. Shabat, Interaction between solitons in a stable medium, Sov. Phys. JETP 37 (1973) 823-828 [Zhurnal-Eksperimental'noi-i-Teoreticheskoi-Fiziki 64 (1973) 1627-1639].
-
(1973)
Sov. Phys. JETP
, vol.37
, pp. 823-828
-
-
Zakharov, V.E.1
Shabat, A.B.2
-
55
-
-
0001442403
-
-
V.E. Zakharov, A.B. Shabat, Interaction between solitons in a stable medium, Sov. Phys. JETP 37 (1973) 823-828 [Zhurnal-Eksperimental'noi-i-Teoreticheskoi-Fiziki 64 (1973) 1627-1639].
-
(1973)
Zhurnal-Eksperimental'noi-i-Teoreticheskoi-Fiziki
, vol.64
, pp. 1627-1639
-
-
-
56
-
-
0030855569
-
Stabilization of dark-soliton transmission by means of nonlinear gain
-
Ikeda H., Matsumoto M., Hasegawa A. Stabilization of dark-soliton transmission by means of nonlinear gain. J. Opt. Soc. Am. B. 14:1997;136-143.
-
(1997)
J. Opt. Soc. Am. B
, vol.14
, pp. 136-143
-
-
Ikeda, H.1
Matsumoto, M.2
Hasegawa, A.3
-
57
-
-
0000711299
-
Perturbation-induced dynamics of dark solitons
-
and references quoted therein
-
Y.S. Kivshar, Y. Xiaoping, Perturbation-induced dynamics of dark solitons, Phys. Rev. E 49 (1994) 1657-1670, and references quoted therein.
-
(1994)
Phys. Rev. e
, vol.49
, pp. 1657-1670
-
-
Kivshar, Y.S.1
Xiaoping, Y.2
-
59
-
-
0032122078
-
Effect of nonlinear gain on dark solitons
-
Chen X.-J., Chen Z.-D. Effect of nonlinear gain on dark solitons. IEEE J. Quant. Electron. 34:1998;1308-1311.
-
(1998)
IEEE J. Quant. Electron.
, vol.34
, pp. 1308-1311
-
-
Chen, X.-J.1
Chen, Z.-D.2
-
60
-
-
0031498009
-
Nonadiabatic dynamics of dark solitons
-
Burtsev S., Camassa R. Nonadiabatic dynamics of dark solitons. J. Opt. Soc. Am. B. 14:1997;1782-1787.
-
(1997)
J. Opt. Soc. Am. B
, vol.14
, pp. 1782-1787
-
-
Burtsev, S.1
Camassa, R.2
-
62
-
-
0033628312
-
Existence and stability of standing hole solutions to complex Ginzburg-Landau equations
-
Kapitula T., Rubin J. Existence and stability of standing hole solutions to complex Ginzburg-Landau equations. Nonlinearity. 13:2000;77-112.
-
(2000)
Nonlinearity
, vol.13
, pp. 77-112
-
-
Kapitula, T.1
Rubin, J.2
-
63
-
-
36049053467
-
Intrinsic resistive transition in narrow superconductive channels
-
Langer J.S., Ambegaokar V. Intrinsic resistive transition in narrow superconductive channels. Phys. Rev. 164:1967;498-510.
-
(1967)
Phys. Rev.
, vol.164
, pp. 498-510
-
-
Langer, J.S.1
Ambegaokar, V.2
-
64
-
-
0001558997
-
Instability of the hole solution in the complex Ginzburg-Landau equation
-
Sakaguchi H. Instability of the hole solution in the complex Ginzburg-Landau equation. Prog. Theoret. Phys. 85:1991;417-421.
-
(1991)
Prog. Theoret. Phys.
, vol.85
, pp. 417-421
-
-
Sakaguchi, H.1
-
65
-
-
0009905308
-
Stability of phase-singular solutions to one-dimensional complex Ginzburg-Landau equation
-
Sasa S., Iwamoto T. Stability of phase-singular solutions to one-dimensional complex Ginzburg-Landau equation. Phys. Lett. A. 175:1993;289-294.
-
(1993)
Phys. Lett. a
, vol.175
, pp. 289-294
-
-
Sasa, S.1
Iwamoto, T.2
-
66
-
-
0000503173
-
Stability of the Bekki-Nozaki hole solutions to the one-dimensional complex Ginzburg-Landau equation
-
Chaté H., Manneville P. Stability of the Bekki-Nozaki hole solutions to the one-dimensional complex Ginzburg-Landau equation. Phys. Lett. A. 171:1992;183-188.
-
(1992)
Phys. Lett. a
, vol.171
, pp. 183-188
-
-
Chaté, H.1
Manneville, P.2
|