Bifurcation Analysis of Reaction Diffusion Systems on Arbitrary Surfaces

Bulletin of Mathematical Biology ◽

10.1007/s11538-017-0255-8 ◽

2017 ◽

Vol 79 (4) ◽

pp. 788-827 ◽

Author(s):

Daljit Singh J. Dhillon ◽

Michel C. Milinkovitch ◽

Matthias Zwicker

Keyword(s):

Bifurcation Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Analysis of Nonlinear Reaction–Diffusion Systems by the Perturbation Method: Conditions of Application, Construction of Solutions, and Bifurcation Analysis

Journal of Mathematical Sciences ◽

10.1007/s10958-016-2822-1 ◽

2016 ◽

Vol 215 (1) ◽

pp. 59-70

Author(s):

V. V. Gafiychuk ◽

B. Yo. Datsko ◽

Z. I. Vasyunyk

Keyword(s):

Perturbation Method ◽

Bifurcation Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Nonlinear Reaction ◽

Diffusion Systems

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Bifurcation analysis of nonlinear reaction–diffusion systems: Dissipative structures in a sphere

The Journal of Chemical Physics ◽

10.1063/1.437067 ◽

1978 ◽

Vol 69 (8) ◽

pp. 3603-3610 ◽

Author(s):

Gert Due Billing ◽

Axel Hunding

Keyword(s):

Bifurcation Analysis ◽

Reaction Diffusion ◽

Dissipative Structures ◽

Reaction Diffusion Systems ◽

Nonlinear Reaction ◽

Diffusion Systems

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Positional differentiation as pattern formation in reaction-diffusion systems with permeable boundaries. Bifurcation analysis

Journal of Mathematical Biology ◽

10.1007/bf00276898 ◽

1981 ◽

Vol 11 (3) ◽

pp. 295-310 ◽

Author(s):

M. A. Livshits ◽

G. T. Gurija ◽

B. N. Belintsev ◽

M. V. Volkenstein

Keyword(s):

Pattern Formation ◽

Bifurcation Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Singular limit of reaction–diffusion systems and modified motion by mean curvature

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s030821050200046x ◽

2002 ◽

Vol 132 (04) ◽

pp. 951

Keyword(s):

Mean Curvature ◽

Reaction Diffusion ◽

Singular Limit ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Motion By Mean Curvature

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Waves and patterns in reaction diffusion systems. Belousov Zhabotinsky reaction in water-in-oil microemulsions

Uspekhi Fizicheskih Nauk ◽

10.3367/ufnr.0174.200409d.0991 ◽

2004 ◽

Vol 174 (9) ◽

pp. 991 ◽

Author(s):

Vladimir K. Vanag

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Belousov Zhabotinsky Reaction ◽

Reaction In Water

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Self-propelled dynamics of deformable domain in excitable reaction diffusion systems

Nonlinear Dynamics in Partial Differential Equations ◽

10.2969/aspm/06410137 ◽

2019 ◽

Author(s):

Takao Ohta

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Classification of Traveling Wave Solutions of Reaction-Diffusion Systems.

10.21236/ada167101 ◽

1985 ◽

Author(s):

Konstantin Mischaikow

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Wave Solutions ◽

Diffusion Systems

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A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109490 ◽

2020 ◽

Vol 415 ◽

pp. 109490 ◽

Author(s):

E.O. Asante-Asamani ◽

A. Kleefeld ◽

B.A. Wade

Keyword(s):

Reaction Diffusion ◽

Second Order ◽

Exponential Time ◽

Reaction Diffusion Systems ◽

Exponential Time Differencing ◽

Diffusion Systems ◽

Dimensional Splitting ◽

Linear Reaction ◽

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Boundary stabilization of stochastic delay reaction-diffusion systems

2017 36th Chinese Control Conference (CCC) ◽

10.23919/chicc.2017.8027604 ◽

2017 ◽

Author(s):

Xiao-Zhen Liu ◽

Xiao-Hua Ding ◽

Kai-Ning Wu

Keyword(s):

Reaction Diffusion ◽

Boundary Stabilization ◽

Stochastic Delay ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Effect of Spatial Average on the Spatiotemporal Pattern Formation of Reaction-Diffusion Systems

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-021-09995-z ◽

2021 ◽

Author(s):

Qingyan Shi ◽

Junping Shi ◽

Yongli Song

Keyword(s):

Pattern Formation ◽

Reaction Diffusion ◽

Spatiotemporal Pattern ◽

Spatial Average ◽

Reaction Diffusion Systems ◽

Spatiotemporal Pattern Formation ◽

Diffusion Systems

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