Butterfly Catastrophe for Fronts in a Three-Component Reaction–Diffusion System

Journal of Nonlinear Science ◽

10.1007/s00332-014-9222-9 ◽

2014 ◽

Vol 25 (1) ◽

pp. 87-129 ◽

Author(s):

Martina Chirilus-Bruckner ◽

Arjen Doelman ◽

Peter van Heijster ◽

Jens D. M. Rademacher

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Three Component Reaction

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Interaction of dissipative solitons: particle-like behaviour of localized structures in a three-component reaction-diffusion system

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(01)00360-8 ◽

2002 ◽

Vol 161 (1-2) ◽

pp. 45-66 ◽

Author(s):

M. Bode ◽

A.W. Liehr ◽

C.P. Schenk ◽

H.-G. Purwins

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Localized Structures ◽

Dissipative Solitons ◽

Three Component Reaction

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Fast reaction limit of a three-component reaction–diffusion system

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.12.040 ◽

2011 ◽

Vol 379 (1) ◽

pp. 150-170 ◽

Author(s):

H. Murakawa ◽

H. Ninomiya

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Fast Reaction ◽

Three Component Reaction ◽

Fast Reaction Limit

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Chemotaxis-growth under the influence of lateral inhibition in a three-component reaction–diffusion system

Nonlinearity ◽

10.1088/0951-7715/24/4/002 ◽

2011 ◽

Vol 24 (4) ◽

pp. 1011-1031 ◽

Author(s):

Satoshi Kawaguchi

Keyword(s):

Lateral Inhibition ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Three Component Reaction

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Matched asymptotic expansion approach to pulse dynamics for a three-component reaction–diffusion system

Journal of Differential Equations ◽

10.1016/j.jde.2021.09.026 ◽

2021 ◽

Vol 303 ◽

pp. 482-546

Author(s):

Yasumasa Nishiura ◽

Hiromasa Suzuki

Keyword(s):

Asymptotic Expansion ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Matched Asymptotic Expansion ◽

Pulse Dynamics ◽

Three Component Reaction

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Quasi-Particles in a Three-Dimensional Three-Component Reaction-Diffusion System

High Performance Computing in Science and Engineering ’99 ◽

10.1007/978-3-642-59686-5_33 ◽

2000 ◽

pp. 354-364 ◽

Author(s):

C. P. Schenk ◽

A. W. Liehr ◽

M. Bode ◽

H.-G. Purwins

Keyword(s):

Three Dimensional ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Three Component Reaction

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Nonequilibrium potential and pattern formation in a three-component reaction-diffusion system

Physics Letters A ◽

10.1016/s0375-9601(98)00622-7 ◽

1998 ◽

Vol 247 (4-5) ◽

pp. 297-302 ◽

Author(s):

S. Bouzat ◽

H.S. Wio

Keyword(s):

Pattern Formation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Three Component Reaction ◽

Nonequilibrium Potential

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Breathing dissipative solitons in three-component reaction-diffusion system

Physical Review E ◽

10.1103/physreve.74.066201 ◽

2006 ◽

Vol 74 (6) ◽

Author(s):

S. V. Gurevich ◽

Sh. Amiranashvili ◽

H.-G. Purwins

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Dissipative Solitons ◽

Three Component Reaction

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Wavy front dynamics in a three-component reaction-diffusion system with one activator and two inhibitors

Physical Review E ◽

10.1103/physreve.73.046127 ◽

2006 ◽

Vol 73 (4) ◽

Author(s):

E. P. Zemskov

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Three Component Reaction ◽

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A Hopf bifurcation in a three-component reaction-diffusion system with a chemorepulsion

Applied Mathematical Sciences ◽

10.12988/ams.2014.45352 ◽

2014 ◽

Vol 8 ◽

pp. 3939-3952

Author(s):

YoonMee Ham

Keyword(s):

Hopf Bifurcation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Three Component Reaction

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Heterogeneity-induced defect bifurcation and pulse dynamics for a three-component reaction-diffusion system

Physical Review E ◽

10.1103/physreve.75.036220 ◽

2007 ◽

Vol 75 (3) ◽

Author(s):

Xiaohui Yuan ◽

Takashi Teramoto ◽

Yasumasa Nishiura

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Pulse Dynamics ◽

Three Component Reaction

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