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DESTABILIZATION THRESHOLD CURVES FOR DIFFUSION SYSTEMS WITH EQUAL DIFFUSIVITY UNDER NON-DIAGONAL FLUX BOUNDARY CONDITIONS
被引:1
|作者:
Sakamoto, Kunimochi
[1
]
机构:
[1] Hiroshima Univ, Grad Sch Sci, Dept Math & Life Sci, Higashihiroshima 7398526, Japan
来源:
关键词:
Stability;
threshold;
reaction-diffusion equations;
non-diagonal boundary conditions;
D O I:
10.3934/dcdsb.2016.21.641
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
This article deals with destabilizations of Turing type for diffusive systems with equal diffusivity under non-diagonal flux boundary conditions. Stability-instability threshold curves in the complex plane are described as the graph of a piecewise analytic function for simple m-dimensional domains (m >= 1). Also analyzed are effects caused by imposing homogeneous boundary conditions of Dirichlet or Neumann type on appropriate portions of the domain boundary.
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页码:641 / 654
页数:14
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