-
1
-
-
0034592313
-
Recent developments in Rayleigh-Bénard convection
-
BODENSCHATZ, E., PESCH, W. & AHLERS, G. (2000) Recent developments in Rayleigh-Bénard convection. Annu. Rev. Fluid Mech. 32, 709-778.
-
(2000)
Annu. Rev. Fluid Mech.
, vol.32
, pp. 709-778
-
-
Bodenschatz, E.1
Pesch, W.2
Ahlers, G.3
-
2
-
-
0002695132
-
Turing patterns: From myth to reality
-
R. Kapral and K. Showalter (eds.). Kluwer
-
BOISSONADE, J. DULOS, E. & DE KEPPER, P. (1995) Turing patterns: from myth to reality. In: R. Kapral and K. Showalter (eds.), Chemical Waves and Patterns, pp. 221-268. Kluwer.
-
(1995)
Chemical Waves and Patterns
, pp. 221-268
-
-
Boissonade, J.1
Dulos, E.2
De Kepper, P.3
-
3
-
-
0012945442
-
A proof of the Benjamin-Feir instability
-
BRIDGES, T. & MIELKE, A. (1995) A proof of the Benjamin-Feir instability. Arch. Rat. Mech. Anal. 113, 145-198.
-
(1995)
Arch. Rat. Mech. Anal.
, vol.113
, pp. 145-198
-
-
Bridges, T.1
Mielke, A.2
-
5
-
-
0000664495
-
Bifurcation on the hexagonal lattice and the planar Bénard problem
-
BUZANO, E. & GOLUBITSKY, M. (1983) Bifurcation on the hexagonal lattice and the planar Bénard problem. Philos. Trans. Roy. Soc. London A, 308, 617-667.
-
(1983)
Philos. Trans. Roy. Soc. London A
, vol.308
, pp. 617-667
-
-
Buzano, E.1
Golubitsky, M.2
-
6
-
-
0030136339
-
A numerical toolbox for homoclinic bifurcation analysis
-
CHAMPNEYS, A. R., KUZNETSOV, YU. A. & SANDSTEDE, B. (1996) A numerical toolbox for homoclinic bifurcation analysis. Int. J. Bifurcation Chaos, 6, 867-887.
-
(1996)
Int. J. Bifurcation Chaos
, vol.6
, pp. 867-887
-
-
Champneys, A.R.1
Kuznetsov, Yu.A.2
Sandstede, B.3
-
8
-
-
0012950341
-
The existence of dendritic fronts
-
COLLET, P. & ECKMANN, J.-P. (1986) The existence of dendritic fronts. Comm. Math. Phys. 107, 39-92.
-
(1986)
Comm. Math. Phys.
, vol.107
, pp. 39-92
-
-
Collet, P.1
Eckmann, J.-P.2
-
9
-
-
0000484304
-
The time dependent amplitude equation for the Swift-Hohenberg problem
-
COLLET, P. & ECKMANN, J.-P. (1990) The time dependent amplitude equation for the Swift-Hohenberg problem. Comm. Math. Phys. 132, 139-153.
-
(1990)
Comm. Math. Phys.
, vol.132
, pp. 139-153
-
-
Collet, P.1
Eckmann, J.-P.2
-
10
-
-
0000841505
-
Stable static localized structures in one dimension
-
COULLET, P., RIERA, C. & TRESSER, C. (2000) Stable static localized structures in one dimension. Phys. Rev. Lett. 84, 3069-3072.
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 3069-3072
-
-
Coullet, P.1
Riera, C.2
Tresser, C.3
-
11
-
-
12044252828
-
Pattern formation outside of equilibrium
-
CROSS, M. C. & HOHENBERG, P. C. (1993) Pattern formation outside of equilibrium. Rev. Mod. Phys. 65, 851-1090.
-
(1993)
Rev. Mod. Phys.
, vol.65
, pp. 851-1090
-
-
Cross, M.C.1
Hohenberg, P.C.2
-
12
-
-
0033169325
-
On the invasion of an unstable structureless state by a stable hexagonal pattern
-
CSAHÓK, Z. & MISBAH, C. (1999) On the invasion of an unstable structureless state by a stable hexagonal pattern. Europhys. Lett. 47, 331-337.
-
(1999)
Europhys. Lett.
, vol.47
, pp. 331-337
-
-
Csahók, Z.1
Misbah, C.2
-
13
-
-
0001420583
-
Spatial patterns and spatiotemporal dynamics in chemical systems
-
DE WIT, A. (1999) Spatial patterns and spatiotemporal dynamics in chemical systems. Adv. Chem. Phys. 109, 435-511.
-
(1999)
Adv. Chem. Phys.
, vol.109
, pp. 435-511
-
-
De Wit, A.1
-
14
-
-
0003487030
-
-
Technical Report, Concordia University
-
DOEDEL, E., CHAMPNEYS, A. R., FAIRGRIEVE, T. F., KUZNETSOV, YU. A., SANDSTEDE, B. & WANG, X. (1997) AUTO97: Continuation and bifurcation software for ordinary differential equations (with HOMCONT). Technical Report, Concordia University.
-
(1997)
AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations (with HOMCONT)
-
-
Doedel, E.1
Champneys, A.R.2
Fairgrieve, T.F.3
Kuznetsov, Yu.A.4
Sandstede, B.5
Wang, X.6
-
15
-
-
0039149429
-
Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts
-
EBERT, U. & VAN SAARLOOS, W. (2000) Front propagation into unstable states: universal algebraic convergence towards uniformly translating pulled fronts. Physica D 146, 1-99.
-
(2000)
Physica D
, vol.146
, pp. 1-99
-
-
Ebert, U.1
Van Saarloos, W.2
-
16
-
-
0000350055
-
Propagating fronts and the center manifold theorem
-
ECKMANN, J.-P. & WAYNE, C. E. (1991) Propagating fronts and the center manifold theorem. Comm. Math. Phys. 136, 285-307.
-
(1991)
Comm. Math. Phys.
, vol.136
, pp. 285-307
-
-
Eckmann, J.-P.1
Wayne, C.E.2
-
17
-
-
51249162531
-
The Ginzburg-Landau equation is an attractor
-
ECKHAUS, W. (1993) The Ginzburg-Landau equation is an attractor. J. Nonlinear Sci. 3, 329-348.
-
(1993)
J. Nonlinear Sci.
, vol.3
, pp. 329-348
-
-
Eckhaus, W.1
-
18
-
-
34250627892
-
Geometric singular perturbation theory for ordinary differential equations
-
FENICHEL, N. (1979) Geometric singular perturbation theory for ordinary differential equations. J. Diff. Eqn. 31, 53-98.
-
(1979)
J. Diff. Eqn.
, vol.31
, pp. 53-98
-
-
Fenichel, N.1
-
20
-
-
24544442979
-
Pattern formation in the presence of symmetries
-
GUNARATNE, G. H., OUYANG, Q. & SWINNEY, H. L. (1994) Pattern formation in the presence of symmetries. Phys. Rev. E, 50, 2802-2820.
-
(1994)
Phys. Rev. E
, vol.50
, pp. 2802-2820
-
-
Gunaratne, G.H.1
Ouyang, Q.2
Swinney, H.L.3
-
21
-
-
0033482571
-
Bifurcating fronts for the Taylor-Couette problem in infinite cylinders
-
HARAGUS, M. & SCHNEIDER, G. (1999) Bifurcating fronts for the Taylor-Couette problem in infinite cylinders. Z. Angew. Math. Phys. 50, 120-151.
-
(1999)
Z. Angew. Math. Phys.
, vol.50
, pp. 120-151
-
-
Haragus, M.1
Schneider, G.2
-
22
-
-
4244137415
-
Nonpotential effects in dynamics of fronts between convection patterns
-
HARAGUS, M. & NEPOMNYASHCHY, A. A. (2000) Nonpotential effects in dynamics of fronts between convection patterns. Phys. Rev. E, 61, 4835-4847.
-
(2000)
Phys. Rev. E
, vol.61
, pp. 4835-4847
-
-
Haragus, M.1
Nepomnyashchy, A.A.2
-
23
-
-
0001545279
-
On the validity of Ginzburg-Landau's equation
-
VAN HARTEN, R. (1991) On the validity of Ginzburg-Landau's equation. J. Nonlinear Sci. 1, 397-422.
-
(1991)
J. Nonlinear Sci.
, vol.1
, pp. 397-422
-
-
Van Harten, R.1
-
25
-
-
0000068178
-
Pattern selection in the generalized Swift-Hohenberg model
-
HILALI, M. F., METENS, S., BORCKMANS, P. & DEWEL, G. (1995) Pattern selection in the generalized Swift-Hohenberg model. Phys. Rev. E, 51, 2046-2052.
-
(1995)
Phys. Rev. E
, vol.51
, pp. 2046-2052
-
-
Hilali, M.F.1
Metens, S.2
Borckmans, P.3
Dewel, G.4
-
26
-
-
34249918820
-
Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders
-
Iooss, G. & MIELKE, A. (1991) Bifurcating time-periodic solutions of Navier-Stokes equations in infinite cylinders. J. Nonlinear Sci. 1, 107-146.
-
(1991)
J. Nonlinear Sci.
, vol.1
, pp. 107-146
-
-
Iooss, G.1
Mielke, A.2
-
27
-
-
0000401570
-
Localized structures and front propagation in the Lengyel-Epstein model
-
JENSEN. O., PENNBACKER. V. O., MOSEKILDE. E., DEWEL. G. & BORCKMANS. P. (1994) Localized structures and front propagation in the Lengyel-Epstein model, Phys. Rev. E, 50, 736-749.
-
(1994)
Phys. Rev. E
, vol.50
, pp. 736-749
-
-
Jensen, O.1
Pennbacker, V.O.2
Mosekilde, E.3
Dewel, G.4
Borckmans, P.5
-
29
-
-
49049138209
-
Wave solutions of reversible systems and applications
-
KIRCHGÄSSNER, K. (1982) Wave solutions of reversible systems and applications. J. Diff. Eqns. 45, 113-127.
-
(1982)
J. Diff. Eqns.
, vol.45
, pp. 113-127
-
-
Kirchgässner, K.1
-
30
-
-
84971162773
-
The validity of modulation equations for extended systems with cubic nonlinearities
-
KIRRMANN, K., SCHNEIDER, G. & MIELKE, A. (1992) The validity of modulation equations for extended systems with cubic nonlinearities. Proc. Roy. Soc. Edinburgh, 122A, 85-91.
-
(1992)
Proc. Roy. Soc. Edinburgh
, vol.122 A
, pp. 85-91
-
-
Kirrmann, K.1
Schneider, G.2
Mielke, A.3
-
31
-
-
0001151125
-
Directional transition matrix
-
Banach Center Publ.
-
KOKUBU, H., MISCHAIKOW, K. & OKA, H. (1999) Directional transition matrix. Conley Index Theory, Banach Center Publ. 47, 133-144.
-
(1999)
Conley Index Theory
, vol.47
, pp. 133-144
-
-
Kokubu, H.1
Mischaikow, K.2
Oka, H.3
-
32
-
-
0034347154
-
Asymptotic dynamical difference between the nonlocal and local Swift-Hohenberg models
-
LIN, G., GAO, H., DUAN, J. & ERVIN, V. (2000) Asymptotic dynamical difference between the nonlocal and local Swift-Hohenberg models. J. Math. Phys. 41, 2077-2089.
-
(2000)
J. Math. Phys.
, vol.41
, pp. 2077-2089
-
-
Lin, G.1
Gao, H.2
Duan, J.3
Ervin, V.4
-
33
-
-
0031549893
-
Instability and stability of rolls in the Swift-Hohenberg equation
-
MIELKE, A. (1997) Instability and stability of rolls in the Swift-Hohenberg equation. Comm. Math. Phys. 189, 829-853.
-
(1997)
Comm. Math. Phys.
, vol.189
, pp. 829-853
-
-
Mielke, A.1
-
34
-
-
0000454926
-
Attractors for modulation equations on unbounded domains - Existence and comparison
-
MIELKE, A. & SCHNEIDER, G. (1995) Attractors for modulation equations on unbounded domains - existence and comparison. Nonlinearity, 8, 743-768.
-
(1995)
Nonlinearity
, vol.8
, pp. 743-768
-
-
Mielke, A.1
Schneider, G.2
-
35
-
-
0001687033
-
Onset and beyond Turing pattern formation
-
Kapral, R. and Showalter, K. (eds.). Kluwer
-
OUYANG, Q. & SWINNEY, H. L. (1995) Onset and beyond Turing pattern formation, In: Kapral, R. and Showalter, K. (eds.), Chemical Waves and Patterns, pp. 269-295. Kluwer.
-
(1995)
Chemical Waves and Patterns
, pp. 269-295
-
-
Ouyang, Q.1
Swinney, H.L.2
-
36
-
-
84957317870
-
Propagation of the hexagonal pattern
-
PISMEN, L. M. & NEPOMNYASHCHY, A. A. (1994) Propagation of the hexagonal pattern. Europhys. Lett. 27, 433-436.
-
(1994)
Europhys. Lett.
, vol.27
, pp. 433-436
-
-
Pismen, L.M.1
Nepomnyashchy, A.A.2
-
37
-
-
0035297089
-
Essential instabilities of frants: Bifurcation, and bifurcation failure
-
SANDSTEDE, B. & SCHEEL, A. (2001) Essential instabilities of frants: bifurcation, and bifurcation failure. Dynamical Systems, 16, 1-28.
-
(2001)
Dynamical Systems
, vol.16
, pp. 1-28
-
-
Sandstede, B.1
Scheel, A.2
-
38
-
-
0002480015
-
On the structure of spectra of modulated travelling waves
-
SANDSTEDE, B. & SCHEEL, A. (2001) On the structure of spectra of modulated travelling waves. Math. Nachr. 232, 39-93.
-
(2001)
Math. Nachr.
, vol.232
, pp. 39-93
-
-
Sandstede, B.1
Scheel, A.2
-
39
-
-
0001656215
-
Error estimates for the Ginzburg-Landau approximation
-
SCHNEIDER, G. (1994) Error estimates for the Ginzburg-Landau approximation. Z. Angew. Math. Phys. 45, 433-457.
-
(1994)
Z. Angew. Math. Phys.
, vol.45
, pp. 433-457
-
-
Schneider, G.1
-
40
-
-
0001492119
-
Analyticity of Ginzburg-Landau modes
-
SCHNEIDER, G. (1995) Analyticity of Ginzburg-Landau modes. J. Diff. Eqns. 121, 233-257.
-
(1995)
J. Diff. Eqns.
, vol.121
, pp. 233-257
-
-
Schneider, G.1
-
41
-
-
0345099992
-
Justification of modulation equations in domains with n ≥ 2 unbounded space directions
-
Mielke, A. & Kirchgässner, K. (eds.). World Scientific
-
SCHNEIDER, G. (1995) Justification of modulation equations in domains with n ≥ 2 unbounded space directions. In: Mielke, A. & Kirchgässner, K. (eds.), Structure and Dynamics of Nonlinear Waves in Fluids, pp. 383-391. World Scientific.
-
(1995)
Structure and Dynamics of Nonlinear Waves in Fluids
, pp. 383-391
-
-
Schneider, G.1
-
42
-
-
0033548773
-
Global existence results for pattern forming processes in infinite cylindrical domains - Applications to 3D Navier-Stokes problems
-
SCHNEIDER, G. (1999) Global existence results for pattern forming processes in infinite cylindrical domains - Applications to 3D Navier-Stokes problems. J. Math. Pures Appl. 78, 265-312.
-
(1999)
J. Math. Pures Appl.
, vol.78
, pp. 265-312
-
-
Schneider, G.1
-
43
-
-
0033734287
-
Existence and stability of modulating pulse-solutions in a phenomeno-logical model of nonlinear optics
-
SCHNEIDER, G. (2000) Existence and stability of modulating pulse-solutions in a phenomeno- logical model of nonlinear optics. Physica D, 140, 283-293.
-
(2000)
Physica D
, vol.140
, pp. 283-293
-
-
Schneider, G.1
-
44
-
-
0030530210
-
Analyticity of essentially bounded solutions to semilinear parabolic systems and validity of the Ginzburg-Landau equation
-
TAKÁČ, P., BOLLERMAN, P., DOELMAN, A., VAN HARTEN, A. & TITI, E. S. (1996) Analyticity of essentially bounded solutions to semilinear parabolic systems and validity of the Ginzburg-Landau equation. SIAM J. Math. Anal. 27, 424-448.
-
(1996)
SIAM J. Math. Anal.
, vol.27
, pp. 424-448
-
-
Takáč, P.1
Bollerman, P.2
Doelman, A.3
Van Harten, A.4
Titi, E.S.5
-
45
-
-
0000950086
-
Centre manifold theory in infinite dimensions
-
VANDERBAUWHEDE, A. & Iooss, G. (1992) Centre manifold theory in infinite dimensions. Dynamics Reported, 1, 125-163.
-
(1992)
Dynamics Reported
, vol.1
, pp. 125-163
-
-
Vanderbauwhede, A.1
Iooss, G.2
-
46
-
-
6444221633
-
Front propagation into unstable states II: Linear versus nonlinear marginal stability and rate of convergence
-
VAN SAARLOOS, W. (1989) Front propagation into unstable states II: linear versus nonlinear marginal stability and rate of convergence. Phys. Rev. A, 39, 6367-6390.
-
(1989)
Phys. Rev. A
, vol.39
, pp. 6367-6390
-
-
Van Saarloos, W.1
-
47
-
-
0034206088
-
Front propagation in heterogeneous media
-
XIN, J. (2000) Front propagation in heterogeneous media. SIAM Rev. 42, 161-230.
-
(2000)
SIAM Rev.
, vol.42
, pp. 161-230
-
-
Xin, J.1
|