A Chaotic Dynamical Model for Internet Traffic

Abstract

This paper analysis the chaotic dynamical properties of network traffic based on the self-similarity characteristic of the Internet traffic. The phase space of the traffic time serials is reconstructed and the correlation dimension is analyzed, which indicate that the dynamical system has finite degree of freedom and a positive maximum Lyapunov exponent. The chaotic characteristic of the traffic is demonstrated and the nonlinear evolution mechanism is observed. Finally, the traffic signals are reconstructed by using fractal interpolation algorithm and gaining reasonably accurate replications.