Dresden 2003 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.62: Poster

Donnerstag, 27. März 2003, 15:30–18:00, P1

Effects of random noise on s simple class of growing network models — •Jong-Won Kim and Holger Kantz — Max Planck Institute for the Physics of Complex Systems, Dresden, Germany

We investigate effects of random noise on network systems. In particular, we consider a simple class of growing network models whose topological structure is determined by the preferred attachment A_k. We introduce a noise induced attachment Ã_k which includes fluctuations in the number of links of individual nodes due to a random noise. We carry out numerical simulations to show that the topological structure of networks is dertermined not only by A_k but also by the strength of the noise. Analytic and numerical solutions are also presented to support this observation. In addition, we also study the stability of networks against attacks under the noisy condition. Similarly, we introduce a noise induced preferred deletion B_k and show that noise is an essential feature to determine the stability of networks.