Analysis of Modular Network Evolution and Application to Smart-grid Design

To examine this, we study noise-interfused network models involving an analytically solvable linear system and biologically inspired nonlinear systems. (1) It was shown that the evolutionary constraint enforces to find well-balanced noise-sensitivities of multiple noise sources, and leads to a modular network underlying a modular structure in goals. (2) The simple model was proposed for the modular network evolution based on non-linearity denosing in a node-activity. The model suggest that the modular networks can evolve under conditions; if the given goals to networks, input and target output pairs, involve modular feature; and if the signal transfer in a node is carried out with non-linear manners in the sense of a saturation at upper and lower bounds.