A triple point induced by targeted autonomization on interdependent scale-free networks

Recent studies have shown that in interdependent networks an initial failure of a fraction 1 − p of nodes in one network, exposes the system to a cascade of failures. Therefore it is important to develop efficient strategies to avoid their collapse. Here, we provide an exact theoretical approach to...

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Detalhes bibliográficos
Autores: Valdez, Lucas Daniel, Macri, Pablo Alejandro, Braunstein, L. A.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/8247
Acesso em linha:http://hdl.handle.net/11336/8247
Access Level:acceso abierto
Palavra-chave:Complex Networks
Cascade of Failures
Branching Processes
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Descrição
Resumo:Recent studies have shown that in interdependent networks an initial failure of a fraction 1 − p of nodes in one network, exposes the system to a cascade of failures. Therefore it is important to develop efficient strategies to avoid their collapse. Here, we provide an exact theoretical approach to study the evolution of the cascade of failures on interdependent networks when a fraction α of the nodes with higher connectivity are autonomous. We found, for a pair of heterogeneous networks, two critical percolation thresholds that depend on α, separating three regimes with very different networks' final sizes that converge into a triple point in the plane p − α. Our findings suggest that the heterogeneity of the networks represented by high degree nodes are responsible for the rich phase diagrams found in this and other investigations.