Transition from stationary to traveling localized patterns in a two-dimensional reaction-diffusion system

P. Schütz; M. Bode; V. V. Gafiichuk

doi:10.1103/physreve.52.4465

Transition from stationary to traveling localized patterns in a two-dimensional reaction-diffusion system

Physical Review E ◽

10.1103/physreve.52.4465 ◽

1995 ◽

Vol 52 (4) ◽

pp. 4465-4473 ◽

Cited By ~ 23

Author(s):

P. Schütz ◽

M. Bode ◽

V. V. Gafiichuk

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Dimensional ◽

Localized Patterns

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A two-dimensional compartment model for the reaction-diffusion system of acetylcholine in the synaptic cleft at the neuromuscular junction

Biosystems ◽

10.1016/s0303-2647(96)01659-0 ◽

1997 ◽

Vol 41 (1) ◽

pp. 17-27 ◽

Cited By ~ 8

Author(s):

Takashi Naka ◽

Kosuke Shiba ◽

Naoto Sakamoto

Keyword(s):

Neuromuscular Junction ◽

Reaction Diffusion ◽

Compartment Model ◽

Synaptic Cleft ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Dimensional

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Spatial bistability of two-dimensional Turing patterns in a reaction-diffusion system

The Journal of Physical Chemistry ◽

10.1021/j100195a045 ◽

1992 ◽

Vol 96 (16) ◽

pp. 6773-6776 ◽

Cited By ~ 41

Author(s):

Q. Ouyang ◽

Z. Noszticzius ◽

Harry L. Swinney

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Turing Patterns ◽

Two Dimensional

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Pattern formation in a two-dimensional reaction-diffusion system with a transversal chemical gradient

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(91)90192-c ◽

1991 ◽

Vol 49 (1-2) ◽

pp. 47-51 ◽

Cited By ~ 12

Author(s):

Anatol M. Zhabotinsky ◽

Stefan C. Müller ◽

Benno Hess

Keyword(s):

Pattern Formation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Dimensional ◽

Chemical Gradient

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On a two-dimensional reaction-diffusion system with hypercyclical structure

Nonlinearity ◽

10.1088/0951-7715/13/6/307 ◽

2000 ◽

Vol 13 (6) ◽

pp. 2005-2032 ◽

Cited By ~ 8

Author(s):

Juncheng Wei ◽

Matthias Winter

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Dimensional

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Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction–diffusion system with and without cross-diffusion

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2015.11.033 ◽

2016 ◽

Vol 300 ◽

pp. 770-797 ◽

Cited By ~ 35

Author(s):

Mehdi Dehghan ◽

Mostafa Abbaszadeh

Keyword(s):

Discontinuous Galerkin ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Dimensional ◽

Variational Multiscale ◽

Cross Diffusion ◽

Local Discontinuous Galerkin ◽

Element Free Galerkin ◽

Element Free

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Spatiotemporal dynamics near a supercritical Turing-Hopf bifurcation in a two-dimensional reaction-diffusion system

Physical Review E ◽

10.1103/physreve.64.026219 ◽

2001 ◽

Vol 64 (2) ◽

Cited By ~ 40

Author(s):

W. Just ◽

M. Bose ◽

S. Bose ◽

H. Engel ◽

E. Schöll

Keyword(s):

Hopf Bifurcation ◽

Reaction Diffusion ◽

Spatiotemporal Dynamics ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Dimensional

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Travelling waves and static structures in a two-dimensional exactly solvable reaction-diffusion system

Journal of Physics A General Physics ◽

10.1088/0305-4470/32/46/304 ◽

1999 ◽

Vol 32 (46) ◽

pp. 8033-8044 ◽

Cited By ~ 6

Author(s):

Pavel K Brazhnik ◽

John J Tyson

Keyword(s):

Travelling Waves ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Dimensional ◽

Exactly Solvable

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Pattern Formation and Oscillatory Dynamics in a Two-Dimensional Coupled Bulk-Surface Reaction-Diffusion System

SIAM Journal on Applied Dynamical Systems ◽

10.1137/18m1213737 ◽

2019 ◽

Vol 18 (3) ◽

pp. 1334-1390 ◽

Cited By ~ 3

Author(s):

Frédéric Paquin-Lefebvre ◽

Wayne Nagata ◽

Michael J. Ward

Keyword(s):

Pattern Formation ◽

Surface Reaction ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Dimensional ◽

Oscillatory Dynamics ◽

Bulk Surface

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Two-dimensional model of a reaction-diffusion system as a typewriter

Physical Review E ◽

10.1103/physreve.64.056202 ◽

2001 ◽

Vol 64 (5) ◽

Cited By ~ 7

Author(s):

Andrzej L. Kawczyński ◽

Bartłomiej Legawiec

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Dimensional ◽

Dimensional Model ◽

Two Dimensional Model

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Interaction of self-organized quasiparticles in a two-dimensional reaction-diffusion system: The formation of molecules

Physical Review E ◽

10.1103/physreve.57.6480 ◽

1998 ◽

Vol 57 (6) ◽

pp. 6480-6486 ◽

Cited By ~ 55

Author(s):

C. P. Schenk ◽

P. Schütz ◽

M. Bode ◽

H.-G. Purwins

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Dimensional ◽

Self Organized

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