∗ Received Sept. 10, 2009 / Revised May 5, 2010 Project supported by the National Natural Science Foundation of China (Nos. 10771094) Corresponding author Xian-hua TANG, Professor, E-mail: tangxh@mail.csu.edu.cn
机构署名：
本校为其他机构
院系归属：
数理学院
摘要：
This paper investigates the dynamics of a TCP system described by a firstorder nonlinear delay differential equation. By analyzing the associated characteristic transcendental equation, it is shown that a Hopf bifurcation sequence occurs at the positive equilibrium as the delay passes through a sequence of critical values. The explicit algorithms for determining the Hopf bifurcation direction and the stability of the bifurcating periodic solutions are derived with the normal form theory and the center manifold theory. The global existence of pe...
