Mosaic Patterns in Spatially Discrete Reaction Diffusion Equations
碩士 === 國立交通大學 === 應用數學系所 === 92 === In this thesis, we study the stationary patterns for spatially discrete reaction diffusion equations. The so-called mosaic patterns and mosaic solutions are characterized and constructed through a geometrical formulation on the parameter conditions. We discuss...
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| Format: | Others |
| Language: | en_US |
| Online Access: | http://ndltd.ncl.edu.tw/handle/56zj96 |
| Summary: | 碩士 === 國立交通大學 === 應用數學系所 === 92 === In this thesis, we study the stationary patterns
for spatially discrete reaction diffusion equations. The so-called mosaic patterns
and mosaic solutions are characterized and constructed through a geometrical formulation
on the parameter conditions.
We discuss pattern formations and spatial
entropy for one and two dimensional lattices via establishing
pseudo basic patterns and feasible basic patterns as well as combining
these basic patterns into large patterns. For the systems on finite lattices, we also
consider three kinds of boundary conditions and investigate their effects on
patterns formations and spatial entropy. Several numerical
computations are performed to illustrate our results.
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