| Hexagonal Patterns in the 2-D Lengyel-Epstein System |
| Received:May 30, 2018 Revised:December 08, 2018 |
| Key Words:
Lengyel-Epstein system bifurcation hexagonal patterns
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11761063; 61872227). |
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| Abstract: |
| Some qualitative behaviors of stationary solutions for the 2-D Lengyel-Epstein system are considered from the local bifurcation viewpoint in this paper. First, local bifurcation branches of hexagonal stationary solutions are constructed in the special case when the habitat domain is a rectangle. Next, the type of the bifurcation diagram near the bifurcation points is discussed. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2019.03.006 |
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