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Deok-Sun Lee (Inha University) Dynamical robustness and adaptation to a changing environment are required simultaneously of all living organisms. To better understand the impact of such contradictory aspects of life, we study an adaptive network model in which its topology is changing such that the dynamical state gets close to a target state which varies with time, or such that the dynamical stability is enhanced. We find that the stationary state is characterized by sparse and heterogeneous connectivity with a constant mean degree independent of the initial condition. The spreading of perturbation in the stationary-state networks feature large fluctuations distinguished by a different scaling behavior from that of the transient state, which is shown to be driven by the variation of structural fluctuation. We compare our findings with the structure and gene expression dynamics of biological cells. |