Journal de Physique

Towards a universal theory for natural patterns

T. Passot and A.C. Newell
Physica D: Nonlinear Phenomena 74 (3-4) 301 (1994)
DOI: 10.1016/0167-2789(94)90199-6
Voir cet article

Defect Dynamics for Spiral Chaos in Rayleigh-Bénard Convection

M. C. Cross and Yuhai Tu
Physical Review Letters 75 (5) 834 (1995)
DOI: 10.1103/PhysRevLett.75.834
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Dislocation motion : a wavenumber selection mechanism in Rayleigh-Benard convection

A. Pocheau and V. Croquette
Journal de Physique 45 (1) 35 (1984)
DOI: 10.1051/jphys:0198400450103500
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Synergetics of the Brain

Y. Pomeau
Springer Series in Synergetics, Synergetics of the Brain 23 214 (1983)
DOI: 10.1007/978-3-642-69421-9_17
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Propagation in Systems Far from Equilibrium

A. C. Newell
Springer Series in Synergetics, Propagation in Systems Far from Equilibrium 41 122 (1988)
DOI: 10.1007/978-3-642-73861-6_12
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Wave-vector field of convective flow patterns

M. S. Heutmaker and J. P. Gollub
Physical Review A 35 (1) 242 (1987)
DOI: 10.1103/PhysRevA.35.242
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Extrinsic effects on the disorder dynamics of Bénard-Marangoni patterns

P. Cerisier, S. Rahal and B. Billia
Physical Review E 54 (4) 3508 (1996)
DOI: 10.1103/PhysRevE.54.3508
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Traveling waves and pulses in a two-dimensional large-aspect-ratio system

M. Bestehorn and H. Haken
Physical Review A 42 (12) 7195 (1990)
DOI: 10.1103/PhysRevA.42.7195
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Global Bifurcation to Traveling Waves in Axisymmetric Convection

Laurette S. Tuckerman and Dwight Barkley
Physical Review Letters 61 (4) 408 (1988)
DOI: 10.1103/PhysRevLett.61.408
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Phase dynamics of patterns: The effect of boundary-induced amplitude variations

D. Roth, M. Lücke, M. Kamps and R. Schmitz
Physical Review E 50 (4) 2756 (1994)
DOI: 10.1103/PhysRevE.50.2756
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The transition to turbulence in “wide systems”

Paul Manneville
Physics Reports 103 (1-4) 107 (1984)
DOI: 10.1016/0370-1573(84)90070-X
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Rotationally invariant order parameter equations for natural patterns in nonequilibrium systems

M. Bestehorn and R. Friedrich
Physical Review E 59 (3) 2642 (1999)
DOI: 10.1103/PhysRevE.59.2642
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Dislocation motion in cellular structures

Y. Pomeau, S. Zaleski and P. Manneville
Physical Review A 27 (5) 2710 (1983)
DOI: 10.1103/PhysRevA.27.2710
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Nonlinear development of morphological instabilities in explosive crystallization

Douglas A. Kurtze
Physical Review B 40 (16) 11104 (1989)
DOI: 10.1103/PhysRevB.40.11104
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Zigzag instability and axisymmetric rolls in Rayleigh-Bénard convection: The effects of curvature

P. Manneville and J. M. Piquemal
Physical Review A 28 (3) 1774 (1983)
DOI: 10.1103/PhysRevA.28.1774
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Nonlinear pattern formation near the onset of Rayleigh-Bénard convection

H. S. Greenside and W. M. Coughran
Physical Review A 30 (1) 398 (1984)
DOI: 10.1103/PhysRevA.30.398
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Wavelength Selection in Systems Far from Equilibrium

Lorenz Kramer, Eshel Ben-Jacob, Helmut Brand and M. C. Cross
Physical Review Letters 49 (26) 1891 (1982)
DOI: 10.1103/PhysRevLett.49.1891
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Pattern formation outside of equilibrium

M. C. Cross and P. C. Hohenberg
Reviews of Modern Physics 65 (3) 851 (1993)
DOI: 10.1103/RevModPhys.65.851
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Phase dynamics of convective rolls

M. C. Cross
Physical Review A 27 (1) 490 (1983)
DOI: 10.1103/PhysRevA.27.490
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Onset of turbulent convection in large cells

Eric Siggia
Physica A: Statistical Mechanics and its Applications 118 (1-3) 335 (1983)
DOI: 10.1016/0378-4371(83)90201-7
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Wavenumber selection in large-amplitude axisymmetric convection

Jeffrey C. Buell and Ivan Catton
Physics of Fluids 29 (1) 23 (1986)
DOI: 10.1063/1.865980
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Convective pattern dynamics at low Prandtl number: Part II

Vincent Croquette
Contemporary Physics 30 (3) 153 (1989)
DOI: 10.1080/00107518908222594
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Pattern Formation and Wave-Number Selection by Rayleigh–Bénard Convection in a Cylindrical Container

V Steinberg, Guenter Ahlers and David S Cannell
Physica Scripta 32 (5) 534 (1985)
DOI: 10.1088/0031-8949/32/5/014
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Convection Patterns: Time Evolution of the Wave-Vector Field

M. S. Heutmaker, P. N. Fraenkel and J. P. Gollub
Physical Review Letters 54 (13) 1369 (1985)
DOI: 10.1103/PhysRevLett.54.1369
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Wavebumber selection and persistent dynamics in models of convection

M.C. Cross, G. Tesauro and H.S. Greenside
Physica D: Nonlinear Phenomena 23 (1-3) 12 (1986)
DOI: 10.1016/0167-2789(86)90105-3
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Wavelength selection in rotating solidification of binary mixtures

Chaouqi Misbah
Journal de Physique 50 (8) 971 (1989)
DOI: 10.1051/jphys:01989005008097100
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Dynamical properties of multiarmed global spirals in Rayleigh-Bénard convection

Xiao-jun Li, Hao-wen Xi and J. D. Gunton
Physical Review E 54 (4) R3105 (1996)
DOI: 10.1103/PhysRevE.54.R3105
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Pattern propagation in nonlinear dissipative systems

E. Ben-Jacob, H. Brand, G. Dee, L. Kramer and J.S. Langer
Physica D: Nonlinear Phenomena 14 (3) 348 (1985)
DOI: 10.1016/0167-2789(85)90094-6
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Rotating convection in an anisotropic system

Alex Roxin and Hermann Riecke
Physical Review E 65 (4) (2002)
DOI: 10.1103/PhysRevE.65.046219
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Disappearance of stable convection between free-slip boundaries

Annette Zippelius and Eric D. Siggia
Physical Review A 26 (3) 1788 (1982)
DOI: 10.1103/PhysRevA.26.1788
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Thermodynamics for non-equilibrium pattern formation

Phil Attard
AIP Advances 1 (3) 032146 (2011)
DOI: 10.1063/1.3632033
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Caustics of Nonlinear Waves and Related Questions

Y Pomeau
Europhysics Letters (EPL) 11 (8) 713 (1990)
DOI: 10.1209/0295-5075/11/8/004
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Nonequilibrium Steady States With Spatial Patterns

P C Hohenberg
Physica Scripta T9 93 (1985)
DOI: 10.1088/0031-8949/1985/T9/014
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Wavenumber selection and Eckhaus instability in Couette-Taylor flow

Guenter Ahlers, David S. Cannell, Marco A. Dominguez-Lerma and Richard Heinrichs
Physica D: Nonlinear Phenomena 23 (1-3) 202 (1986)
DOI: 10.1016/0167-2789(86)90129-6
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Wave-number selection by target patterns and sidewalls in Rayleigh-Bénard convection

John R. Royer, Patrick O’Neill, Nathan Becker and Guenter Ahlers
Physical Review E 70 (3) 036313 (2004)
DOI: 10.1103/PhysRevE.70.036313
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Convection patterns in large aspect ratio systems

M.C. Cross and Alan C. Newell
Physica D: Nonlinear Phenomena 10 (3) 299 (1984)
DOI: 10.1016/0167-2789(84)90181-7
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Formation of traveling waves in nematics due to material parameter ramps

Karen K. Vardanyan and Daniel R. Spiegel
Physical Review E 76 (3) 031703 (2007)
DOI: 10.1103/PhysRevE.76.031703
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Rayleigh-Bénard convection and turbulence in liquid helium

R. P. Behringer
Reviews of Modern Physics 57 (3) 657 (1985)
DOI: 10.1103/RevModPhys.57.657
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Isothermal martensitic transformation in Fe-Ni and Fe-Ni-C alloys at subzero temperatures

C. A. V. de A. Rodrigues, C. Prioul and L. Hyspecka
Metallurgical Transactions A 15 (12) 2193 (1984)
DOI: 10.1007/BF02647102
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Traveling waves in axisymmetric convection: The role of sidewall conductivity

Dwight Barkley and Laurette S. Tuckerman
Physica D: Nonlinear Phenomena 37 (1-3) 288 (1989)
DOI: 10.1016/0167-2789(89)90136-X
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Study of a model of thermal convection in cylindrical containers

M. Bestehorn and C. Pérez-García
Physica D: Nonlinear Phenomena 61 (1-4) 67 (1992)
DOI: 10.1016/0167-2789(92)90149-H
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Phase-winding solutions in a finite container above the convective threshold

M. C. Cross, P. G. Daniels, P. C. Hohenberg and E. D. Siggia
Journal of Fluid Mechanics 127 (-1) 155 (1983)
DOI: 10.1017/S0022112083002670
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New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

Laurette S. Tuckerman and Dwight Barkley
NATO ASI Series, New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena 237 73 (1990)
DOI: 10.1007/978-1-4684-7479-4_13
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Evolution and Stability Limits of Patterns in Surface-Tension-Driven-Bénard Convection

P. Cerisier, B. Billia and S. Rahal
Journal of Non-Equilibrium Thermodynamics 26 (2) (2001)
DOI: 10.1515/JNETDY.2001.008
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Steady bimodal convection in a cylinder at large Prandtl numbers

Jeffrey C. Buell and Ivan Catton
Physics of Fluids 30 (2) 318 (1987)
DOI: 10.1063/1.866380
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Axisymmetric cellular structures revisited

Y. Pomeau, S. Zaleski and P. Manneville
ZAMP Zeitschrift f�r angewandte Mathematik und Physik 36 (3) 367 (1985)
DOI: 10.1007/BF00944631
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Pattern Formation and Wave-Number Selection by Rayleigh–Bénard Convection in a Cylindrical Container

V Steinberg, Guenter Ahlers and David S Cannell
Physica Scripta T9 97 (1985)
DOI: 10.1088/0031-8949/1985/T9/016
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Far from Equilibrium Phase Transitions

M. C. Cross
Lecture Notes in Physics, Far from Equilibrium Phase Transitions 319 45 (1988)
DOI: 10.1007/3-540-50643-8_33
Voir cet article

Transverse phase diffusion in Rayleigh-Bénard convection

P. Manneville and J.M. Piquemal
Journal de Physique Lettres 43 (8) 253 (1982)
DOI: 10.1051/jphyslet:01982004308025300
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Pattern selection in a slowly varying environment

Y. Pomeau and S. Zaleski
Journal de Physique Lettres 44 (4) 135 (1983)
DOI: 10.1051/jphyslet:01983004404013500
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Structure of Bénard convection cells, phyllotaxis and crystallography in cylindrical symmetry

N. Rivier, R. Occelli, J. Pantaloni and A. Lissowski
Journal de Physique 45 (1) 49 (1984)
DOI: 10.1051/jphys:0198400450104900
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Transition to turbulence of convective flows in a cylindrical container

A. Pocheau
Journal de Physique 49 (7) 1127 (1988)
DOI: 10.1051/jphys:019880049070112700
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Fluctuations and Stochastic Phenomena in Condensed Matter

P. C. Hohenberg and M. C. Cross
Lecture Notes in Physics, Fluctuations and Stochastic Phenomena in Condensed Matter 268 55 (1987)
DOI: 10.1007/3-540-17206-8_3
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Large Scale Structures in Nonlinear Physics

T. Passot and A. C. Newell
Lecture Notes in Physics, Large Scale Structures in Nonlinear Physics 392 1 (1991)
DOI: 10.1007/3-540-54899-8_29
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Cellular Structures in Instabilities

P. C. Hohenberg
Lecture Notes in Physics, Cellular Structures in Instabilities 210 127 (1984)
DOI: 10.1007/3-540-13879-X_75
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Cellular Structures in Instabilities

S. Fauve, C. Laroche, A. Libchaber and B. Perrin
Lecture Notes in Physics, Cellular Structures in Instabilities 210 278 (1984)
DOI: 10.1007/3-540-13879-X_89
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Cellular Structures in Instabilities

J. E. Wesfreid and S. Zaleski
Lecture Notes in Physics, Cellular Structures in Instabilities 210 1 (1984)
DOI: 10.1007/3-540-13879-X_67
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Dynamics of Spatio-Temporal Cellular Structures

Yves Pomeau
Springer Tracts in Modern Physics, Dynamics of Spatio-Temporal Cellular Structures 207 95 (2006)
DOI: 10.1007/978-0-387-25111-0_5
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Propagation in Systems Far from Equilibrium

I. Rehberg and F. H. Busse
Springer Series in Synergetics, Propagation in Systems Far from Equilibrium 41 225 (1988)
DOI: 10.1007/978-3-642-73861-6_19
Voir cet article

Fluctuations and Sensitivity in Nonequilibrium Systems

H. S. Greenside
Springer Proceedings in Physics, Fluctuations and Sensitivity in Nonequilibrium Systems 1 38 (1984)
DOI: 10.1007/978-3-642-46508-6_4
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Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems

Yves Pomeau
NATO ASI Series, Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems 225 261 (1990)
DOI: 10.1007/978-1-4684-5793-3_25
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Pattern Selection by Weakly Pinning Ramps

H Riecke
Europhysics Letters (EPL) 2 (1) 1 (1986)
DOI: 10.1209/0295-5075/2/1/001
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The phase diffusion and mean drift equations for convection at finite Rayleigh numbers in large containers

Alan C. Newell, Thierry Passot and Mohammad Souli
Journal of Fluid Mechanics 220 187 (1990)
DOI: 10.1017/S0022112090003238
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Article cité par

Article cité :

Wavelength selection in axisymmetric cellular structures

Citations de cet article :

Towards a universal theory for natural patterns

Defect Dynamics for Spiral Chaos in Rayleigh-Bénard Convection

Dislocation motion : a wavenumber selection mechanism in Rayleigh-Benard convection

Synergetics of the Brain

Propagation in Systems Far from Equilibrium

Wave-vector field of convective flow patterns

Extrinsic effects on the disorder dynamics of Bénard-Marangoni patterns

Traveling waves and pulses in a two-dimensional large-aspect-ratio system

Global Bifurcation to Traveling Waves in Axisymmetric Convection

Phase dynamics of patterns: The effect of boundary-induced amplitude variations

The transition to turbulence in “wide systems”

Rotationally invariant order parameter equations for natural patterns in nonequilibrium systems

Dislocation motion in cellular structures

Nonlinear development of morphological instabilities in explosive crystallization

Zigzag instability and axisymmetric rolls in Rayleigh-Bénard convection: The effects of curvature

Nonlinear pattern formation near the onset of Rayleigh-Bénard convection

Wavelength Selection in Systems Far from Equilibrium

Pattern formation outside of equilibrium

Phase dynamics of convective rolls

Onset of turbulent convection in large cells

Wavenumber selection in large-amplitude axisymmetric convection

Convective pattern dynamics at low Prandtl number: Part II

Pattern Formation and Wave-Number Selection by Rayleigh–Bénard Convection in a Cylindrical Container

Convection Patterns: Time Evolution of the Wave-Vector Field

Wavebumber selection and persistent dynamics in models of convection

Wavelength selection in rotating solidification of binary mixtures

Dynamical properties of multiarmed global spirals in Rayleigh-Bénard convection

Pattern propagation in nonlinear dissipative systems

Rotating convection in an anisotropic system

Disappearance of stable convection between free-slip boundaries

Thermodynamics for non-equilibrium pattern formation

Caustics of Nonlinear Waves and Related Questions

Nonequilibrium Steady States With Spatial Patterns

Wavenumber selection and Eckhaus instability in Couette-Taylor flow

Wave-number selection by target patterns and sidewalls in Rayleigh-Bénard convection

Convection patterns in large aspect ratio systems

Formation of traveling waves in nematics due to material parameter ramps

Rayleigh-Bénard convection and turbulence in liquid helium

Isothermal martensitic transformation in Fe-Ni and Fe-Ni-C alloys at subzero temperatures

Traveling waves in axisymmetric convection: The role of sidewall conductivity

Study of a model of thermal convection in cylindrical containers

Phase-winding solutions in a finite container above the convective threshold

New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

Evolution and Stability Limits of Patterns in Surface-Tension-Driven-Bénard Convection

Steady bimodal convection in a cylinder at large Prandtl numbers

Axisymmetric cellular structures revisited

Pattern Formation and Wave-Number Selection by Rayleigh–Bénard Convection in a Cylindrical Container

Far from Equilibrium Phase Transitions

Transverse phase diffusion in Rayleigh-Bénard convection

Pattern selection in a slowly varying environment

Structure of Bénard convection cells, phyllotaxis and crystallography in cylindrical symmetry

Transition to turbulence of convective flows in a cylindrical container

Fluctuations and Stochastic Phenomena in Condensed Matter

Large Scale Structures in Nonlinear Physics

Cellular Structures in Instabilities

Cellular Structures in Instabilities

Cellular Structures in Instabilities

Dynamics of Spatio-Temporal Cellular Structures

Propagation in Systems Far from Equilibrium

Fluctuations and Sensitivity in Nonequilibrium Systems

Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems

Pattern Selection by Weakly Pinning Ramps

The phase diffusion and mean drift equations for convection at finite Rayleigh numbers in large containers