Dynamical analysis in exponential RED algorithm with communication delay

作者：Xu, Changjin^*; Li, Peiluan

来源：Advances in Difference Equations, 2016, 2016(1): 40.

DOI：10.1186/s13662-015-0711-4

• exponential RED
• stability
• Hopf bifurcation
• congestion control
• periodic solution

In this paper, an exponential RED algorithm with communication delay is considered. By choosing the delay as a bifurcation parameter, we demonstrate that a Hopf bifurcation would occur when the delay exceeds a critical value. Some explicit formulas are worked out for determining the stability and the direction of the bifurcated periodic solutions by using the normal form theory and center manifold theory. Finally, numerical simulations supporting the theoretical analysis are provided.

• 出版日期2016-2-3
• 单位贵州财经大学; 河南大学