Hexagonal Patterns in the 2-D Lengyel-Epstein System
Received:May 30, 2018  Revised:December 08, 2018
Key Word: Lengyel-Epstein system   bifurcation   hexagonal patterns  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.11761063; 61872227).
Author NameAffiliation
Li-na ZHANG Department of Mathematics and statistics, Northwest Normal University, Gansu 730070, P. R. China 
Fei XU Department of Mathematics and statistics, Northwest Normal University, Gansu 730070, P. R. China 
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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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