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Optimized inter-structure for enhancing the synchronizability of interdependent networks

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Abstract In this paper, how to optimize the inter-structures to enhance the synchronizability of interdependent networks is investigated. Based on a genetic algorithm (GA), combined with two fitness functions, a… Click to show full abstract

Abstract In this paper, how to optimize the inter-structures to enhance the synchronizability of interdependent networks is investigated. Based on a genetic algorithm (GA), combined with two fitness functions, a new method is presented that optimizes inter-structures to enhance the synchronizability of interdependent networks. For bounded and unbounded synchronous regions, when the number of inter-connections or the inter-coupling strength related to the inter-structures is changed, we apply the proposed method to optimize the two interdependent networks. The first network, namely NW–BA network, includes a small-world subnet generated by Newman–Watts algorithm and a Baraba si–Albert scale-free subnet. The second network, ST–BA network, includes a star subnet and a BA subnet. Generally, the analyses and numerical simulation results demonstrate the proposed optimization method performs well. According to the betweenness correlation defined in this paper, as the number of inter-connections increase, the optimized inter-structures experience a process that shifts a nearly positive correlation to irrelevance. However, increasing the inter-coupling strength gradually makes no difference on optimized inter-structures. Overall, the results indicate that NW–BA networks are a better choice for interdependent networks than the ST–BA networks.

Keywords: interdependent networks; synchronizability interdependent; inter structures; optimized inter; inter

Journal Title: Physica A: Statistical Mechanics and its Applications
Year Published: 2019

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