A.V. Karpukhin, D.I. Gritsiv, A.A. Tkachenko

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It was shown in the numerous papers devoted to the study of network traffic that chaotic operation modes are possible to occur in high-speed networks, which is the main reason of TCP protocol behaviour. The presence of such modes leads to a significant decrease in throughput of the network, especially in so-called "bottlenecks". However, there hasn’t been suggested the models adequately describe the infocommunication systems and allow us to apply the whole arsenal of the classical methods of analysis of nonlinear dynamical systems so far. The paper suggests a new approach to the analysis of the behavior of infocommunication systems with the TCP protocol - considering them as nonlinear dynamical systems that manifest chaotic properties for certain values of the parameters. The phase portraits of the systems were studied and there were calculated the values of the maximum Lyapunov exponent for different values of the main parameters of the systems. An experiment was conducted in a real physical network. The problem of optimizing the parameters of infocommunication systems was solved in terms of lack of undesired chaotic modes.

Karpukhyn, A.V., Hrytsyv, D.Y. and Tkachenko, A.A. (2014), "Modelyrovanye khaotycheskykh yavlenyi v ynfokommunykatsyonnыkh systemakh s protokolom TSR" ,