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基因繁殖的在平衡点(0,0)附近的定态分歧
引用本文:李俐玫,魏纯辉.基因繁殖的在平衡点(0,0)附近的定态分歧[J].四川大学学报(自然科学版),2011,48(5):995-1000.
作者姓名:李俐玫  魏纯辉
作者单位:1. 四川师范大学数学与软件科学学院,成都,610066
2. 集美大学工程技术学院,厦门,361021
摘    要:作者研究了带齐次Neumann边界条件的基因繁殖模型的定态分歧解,并运用谱定理和规范化LyapunovSchmidt约化方法给出了反应扩散系统的定态分歧解且讨论了解的稳定性.

关 键 词:反应扩散系统  谱定理  规范化LyapunovSchmidt约化  定态分歧

Steady state bifurcations of the gene propagation system near the equilibrium point (0,0)
LI Li-Mei,WEI Chun-Hui.Steady state bifurcations of the gene propagation system near the equilibrium point (0,0)[J].Journal of Sichuan University (Natural Science Edition),2011,48(5):995-1000.
Authors:LI Li-Mei  WEI Chun-Hui
Institution:College of Mathematics and Software Science, Sichuan Normal University;College of Engineering Technology, Jimei University
Abstract:Steady state bifurcation solution are studied for the gene propagation model with the homogeneous Neumann boundary condition.By using the Spectrum Theory and normalized Lyapunov-Schmidt reduction method,some regular bifurcated solutions are obtained and the stability of these solutions is also discussed.
Keywords:reaction-diffusion system  spectrum theory  normalized lyapunov-schmidt reduction  steady state bifurcations
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