Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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SPATIAL INHOMOGENITY DUE TO TURING BIFURCATION IN A SYSTEM OF GIERER-MEINHARDT TYPE

  • Sandor, Kovacs (Department of Numerical Analysis, Eotvos L. University)
  • Published : 2003.01.01

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Abstract

This paper treats the conditions for the existence and stability properties of stationary solutions of reaction-diffusion equations of Gierer-Meinhardt type, subject to Neumann boundary data. The domains in which diffusion takes place are of three types: a regular hexagon, a rectangle and an isosceles rectangular triangle. Considering one of the relevant features of the domains as a bifurcation parameter it will be shown that at a certain critical value a diffusion driven instability occurs and Turing bifurcation takes place: a pattern emerges.

Keywords

References

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