一类广义Fisher方程的稳定性和动态分歧

Stability and dynamical bifurcation of a generalized Fisher equation

摘要:

本文研究了一类广义Fisher方程的动态分歧和解的稳定性. 利用中心流形约化方法和吸引子分歧理论,本文得到了动态分歧的完整判据、类型以及性质，并给出了吸引域的某些刻画, 补充和完善了已有文献的结果.数值模拟验证了理论分析的正确性.

Abstract:

This research studies the dynamic bifurcation and stability of solutions for a generalized Fisher equation. The complete criterion, types and properties of dynamical bifurcation are obtained by center manifold reduction method and attractor bifurcation theory. Some characterizations of basins of attractors are given. These results improve the known results.Numerical simulations are provided to verify the theoretical analysis.