摘要
研究了描述人类呼吸系统的具时滞的二维微分方程的平凡解的稳定性和Hopf分支· 利用规范型理论和中心流形定理给出了关于分支周期解的稳定性及Hopf分支方向等的计算公式。
The stability and bifurcation of the trivial solution in the two_dimensional differential equation of a model describing human respiratory system with time delay were investigated. Formulas about the stability of bifurcating periodic solution and the direction of Hopf bifurcation were exhibited by applying the normal form theory and the center manifold theorem.Furthermore,numerical simulation was carried out.
出处
《应用数学和力学》
EI
CSCD
北大核心
2004年第11期1169-1181,共13页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(19831030)
