The motion of weakly interacting localized patterns for reaction-diffusion systems with nonlocal effect

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020329 ◽

2021 ◽

Vol 26 (1) ◽

pp. 173-190

Author(s):

Shin-Ichiro Ei ◽

◽

Hiroshi Ishii

Keyword(s):

Reaction Diffusion ◽

Nonlocal Effect ◽

Reaction Diffusion Systems ◽

Weakly Interacting ◽

Diffusion Systems ◽

Localized Patterns

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Transient Localized Patterns in Noise-Driven Reaction-Diffusion Systems

Physical Review Letters ◽

10.1103/physrevlett.104.158301 ◽

2010 ◽

Vol 104 (15) ◽

Author(s):

Inbal Hecht ◽

David A. Kessler ◽

Herbert Levine

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Localized Patterns

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Localized patterns in reaction-diffusion systems

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.2752494 ◽

2007 ◽

Vol 17 (3) ◽

pp. 037110 ◽

Author(s):

Vladimir K. Vanag ◽

Irving R. Epstein

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Localized Patterns

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Localized Patterns in Reaction-Diffusion Systems

Progress of Theoretical Physics ◽

10.1143/ptp.63.106 ◽

1980 ◽

Vol 63 (1) ◽

pp. 106-121 ◽

Author(s):

S. Koga ◽

Y. Kuramoto

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Localized Patterns

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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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