Abstract
Development of telecommunications technology currently determines the growth of research with an aim to find new solutions and innovative approaches to the mathematical description of the processes. One of the directions in the description of traffic in computer networks is focused on studying the properties of chaotic traffic. We offer a complex method for the dynamic chaos determination. It is suggested to introduce additional indicators based on the absence of trivial conservation laws and weak symmetry breaking. The conclusion is made that dynamic chaos in the example of computer network traffic.
Highlights
The article is focused on the computation of invariant characteristics of dynamic chaos based on the flow of corporate computer networks
In [1] the aim is to evaluate the values of the largest Lyapunov exponent on the basis of the traffic generated on the test bench; In [2, 3] Internet traffic is an example for the calculation of various characteristics; In [4] the dynamic properties of the chaos is used to solve telecommunication problems of data exchange, but the study of chaotic properties remained outside publications
It is obvious that in such a test, with different initial conditions for systems with regular dynamics is was discovered that they identical symmetry, for more complex but not chaotic — translation for systems that tend to stable equilibrium position — compression, etc., and for the chaos — almost repeated portions of phase trajectories
Summary
Abstract—Development of telecommunications technology currently determines the growth of research with an aim to find new solutions and innovative approaches to the mathematical description of the processes. One of the directions in the description of traffic in computer networks is focused on studying the properties of chaotic traffic. We offer a complex method for the dynamic chaos determination. It is suggested to introduce additional indicators based on the absence of trivial conservation laws and weak symmetry breaking. The conclusion is made that dynamic chaos in the example of computer network traffic
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