为了研究传输控制协议(Transmission Control Protocol,TCP)在异构网络下是否具有混沌特性,通过对TCP在异构网络系统中参数的分析,对系统是否存在周期性、系统初值敏感性(蝴蝶效应)以及奇异吸引子等几方面进行验证,证实了特定情况下TCP...为了研究传输控制协议(Transmission Control Protocol,TCP)在异构网络下是否具有混沌特性,通过对TCP在异构网络系统中参数的分析,对系统是否存在周期性、系统初值敏感性(蝴蝶效应)以及奇异吸引子等几方面进行验证,证实了特定情况下TCP拥塞控制在异构网络中具有混沌特性。实验结果表明,在瓶颈带宽较小的情况下,异构网络系统具有较好的周期性,且在异构网络系统下不会出现TCP死锁现象。在瓶颈带宽较大的情况下,异构网络系统表现出混沌特性。同时提出在相同条件下选取合适的初值能使一个复杂的,混沌无序的异构网络系统转换为一个比较简单且具有较好的稳定性的系统,从而为异构网络系统中TCP性能的提升指出了一个新的方向。展开更多
In this note we consider some basic, yet unusual, issues pertaining to the accuracy and stability of numerical integration methods to follow the solution of first order and second order initial value problems (IVP). I...In this note we consider some basic, yet unusual, issues pertaining to the accuracy and stability of numerical integration methods to follow the solution of first order and second order initial value problems (IVP). Included are remarks on multiple solutions, multi-step methods, effect of initial value perturbations, as well as slowing and advancing the computed motion in second order problems.展开更多
文摘为了研究传输控制协议(Transmission Control Protocol,TCP)在异构网络下是否具有混沌特性,通过对TCP在异构网络系统中参数的分析,对系统是否存在周期性、系统初值敏感性(蝴蝶效应)以及奇异吸引子等几方面进行验证,证实了特定情况下TCP拥塞控制在异构网络中具有混沌特性。实验结果表明,在瓶颈带宽较小的情况下,异构网络系统具有较好的周期性,且在异构网络系统下不会出现TCP死锁现象。在瓶颈带宽较大的情况下,异构网络系统表现出混沌特性。同时提出在相同条件下选取合适的初值能使一个复杂的,混沌无序的异构网络系统转换为一个比较简单且具有较好的稳定性的系统,从而为异构网络系统中TCP性能的提升指出了一个新的方向。
文摘In this note we consider some basic, yet unusual, issues pertaining to the accuracy and stability of numerical integration methods to follow the solution of first order and second order initial value problems (IVP). Included are remarks on multiple solutions, multi-step methods, effect of initial value perturbations, as well as slowing and advancing the computed motion in second order problems.
