发育生物学中一类反应扩散方程组的分歧分析  

Bifurcation Analysis of Reaction-diffusion Equations in Developmental Biology

作　　者：熊波[1] 魏军强[1] 杨忠华[1] 

机构地区：[1]上海师范大学数理信息学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2003年第4期28-34,共7页Journal of Shanghai Normal University(Natural Sciences)

基　　金：上海市教委重点学科项目(00JC14507);上海市科委启明星计划(03QA14036)

摘　　要：考虑发育生物学中一类反应扩散方程组,在分歧点附近利用Liapunov-Schmidt约化技巧,得到了从平凡解分歧出来的随参数变化的非平凡解枝以及它们的近似解析表达式.We consider a class of reaction-diffusion equations in developmental biology. Near the bifurcation points, using the Liapunove-Schmidt reduction process, we obtain the nontrivial solution branches which are bifurcated from the trival solution when the parameter changes. The approximate analytical expressions of the nontrivial solutions are given to be compared with the numerical solutions of the nonlinear problem.

关 键 词：反应扩散方程组 分歧 Liapunov-Schmidt约化 

分 类 号：O175[理学—数学]