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) ◽

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

10.1016/s0303-2647(96)01659-0 ◽

1997 ◽

Vol 41 (1) ◽

pp. 17-27 ◽

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 ◽

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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Hopf bifurcation in two inhibitors on one activator in a reaction-diffusion system

Applied Mathematical Sciences ◽

10.12988/ams.2013.34199 ◽

2013 ◽

Vol 7 ◽

pp. 3419-3431

Author(s):

YoonMee Ham

Keyword(s):

Hopf Bifurcation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System

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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 ◽

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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Andronov?Hopf bifurcation in the boundary-value problem for a ?reaction?diffusion? system on an interval

Computational Mathematics and Modeling ◽

10.1007/bf01130887 ◽

1993 ◽

Vol 4 (1) ◽

pp. 108-112

Author(s):

A. V. Shobukhov

Keyword(s):

Hopf Bifurcation ◽

Boundary Value Problem ◽

Boundary Value ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System

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TURING-HOPF BIFURCATION IN THE REACTION-DIFFUSION SYSTEM WITH DELAY AND APPLICATION TO A DIFFUSIVE PREDATOR-PREY MODEL

Journal of Applied Analysis & Computation ◽

10.11948/2156-907x.20190015 ◽

2019 ◽

Vol 9 (3) ◽

pp. 1132-1164 ◽

Author(s):

Yongli Song ◽

◽

Heping Jiang ◽

Yuan Yuan ◽

◽

...

Keyword(s):

Hopf Bifurcation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Predator Prey ◽

System With Delay ◽

Predator Prey Model ◽

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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 ◽

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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Diffusive instability near Hopf bifurcation for exponentially autocatalyzed reaction-diffusion system

Journal of Physics A General Physics ◽

10.1088/0305-4470/23/24/003 ◽

1990 ◽

Vol 23 (24) ◽

pp. L1293-L1299 ◽

Author(s):

S R Inamdar ◽

P Rajani ◽

B D Kulkarni

Keyword(s):

Hopf Bifurcation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Diffusive Instability

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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 ◽

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 ◽

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 ◽

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