Research On Nonlinear Dynamics Of Internet Congestion Control

Today’s society, with the rapid development of science and technology, people are alsovery familiar with the word of Internet. Almost all the industries also increasingly dependenton the convenience services that Internet has brought us. In reality, however, the networkcongestion problem has affected the Internet (Internet) development, network congestionproblems have also become increasingly prominent. The most direct consequence ofcongestion is reduced throughput, latency increased, increasing dropout rates and so on.Therefore, Internet congestion control becomes an important issue. This paper proposedimprove the algorithm by selecting fluid flow model and the dual model,and then analysisthe improved algorithm by nonlinear dynamics methods, and then analysis the Hopfbifurcation of the improved algorithm by using the delay feedback control method forsuppressing the occurrence of congestion, Finally, simulation.The main research results and innovations of this paper are as follows:1. Prove the existence of Hopf bifurcation behavior in the fluid flow model, when thebifurcation parameter pass through and exceeds the critical point that Hopf bifurcationoccurs,and then the system and come into chaos. Then, we improved the model on the basisof the original model and analysis the Hopf bifurcation. Finally, adding a delay feedbackcontrol on the improved model, the simulation results show that this can delay the Hopfbifurcation occurs.2. Proof the existence of Hopf bifurcation behavior, in the fair dual model andtime-delayed dual model, when the bifurcation parameter pass through and exceeds a criticalpoint, the system will occur Hopf bifurcations and come into a chaotic state. we improved themodel on the basis of the original model and analysis the Hopf bifurcation. Finally, adding adelay feedback control on the improved model, the simulation results show that this can delaythe Hopf bifurcation occurs.