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

C. P. Schenk; P. Schütz; M. Bode; H.-G. Purwins

doi:10.1103/physreve.57.6480

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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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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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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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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A self-organized mesh generator using pattern formation in a reaction–diffusion system

Applied Mathematics Letters ◽

10.1016/j.aml.2012.08.012 ◽

2013 ◽

Vol 26 (2) ◽

pp. 201-206 ◽

Cited By ~ 2

Author(s):

Hirofumi Notsu ◽

Daishin Ueyama ◽

Masahiro Yamaguchi

Keyword(s):

Pattern Formation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Mesh Generator ◽

Self Organized

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Self-Organized Pattern Formation of a Bacteria Colony Modeled by a Reaction Diffusion System and Nucleation Theory

Physical Review Letters ◽

10.1103/physrevlett.90.258102 ◽

2003 ◽

Vol 90 (25) ◽

Cited By ~ 16

Author(s):

Joe Y. Wakano ◽

Shinya Maenosono ◽

Atsushi Komoto ◽

Noriko Eiha ◽

Yukio Yamaguchi

Keyword(s):

Pattern Formation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Nucleation Theory ◽

Self Organized

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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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Reaction-diffusion system with self-organized critical behavior

The European Physical Journal B ◽

10.1007/pl00011091 ◽

2001 ◽

Vol 19 (4) ◽

pp. 583-587 ◽

Cited By ~ 13

Author(s):

R. Pastor-Satorras ◽

A. Vespignani

Keyword(s):

Critical Behavior ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Self Organized

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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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