title: Robustness of oscillatory behavior in correlated networks.
abstract: Understanding network robustness against failures of network units is useful for preventing large-scale breakdowns and damages in real-world networked systems. The tolerance of networked systems whose functions are maintained by collective dynamical behavior of the network units has recently been analyzed in the framework called dynamical robustness of complex networks. The effect of network structure on the dynamical robustness has been examined with various types of network topology, but the role of network assortativity, or degree-degree correlations, is still unclear. Here we study the dynamical robustness of correlated (assortative and disassortative) networks consisting of diffusively coupled oscillators. Numerical analyses for the correlated networks with Poisson and power-law degree distributions show that network assortativity enhances the dynamical robustness of the oscillator networks but the impact of network disassortativity depends on the detailed network connectivity. Furthermore, we theoretically analyze the dynamical robustness of correlated bimodal networks with two-peak degree distributions and show the positive impact of the network assortativity.
authors.affiliation: Graduate School of Information Science and Technology, The University of Tokyo, Tokyo 113-8656, Japan.
authors.forename: Takeyuki
authors.initials: T
authors.lastname: Sasai
authors.affiliation: Graduate School of Information Science and Technology, The University of Tokyo, Tokyo 113-8656, Japan.
authors.forename: Kai
authors.initials: K
authors.lastname: Morino
authors.affiliation: Graduate School of Engineering, The University of Tokyo, Tokyo 113-8656, Japan; Graduate School of Information Science and Technology, The University of Tokyo, Tokyo 113-8656, Japan; Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan.
authors.forename: Gouhei
authors.initials: G
authors.lastname: Tanaka
authors.affiliation: Complex Systems Group, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain; Center for Biomedical Technology, Univ. Politecnica de Madrid, 28223 Pozuelo de Alarcon, Madrid, Spain.
authors.forename: Juan A
authors.initials: JA
authors.lastname: Almendral
authors.affiliation: Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan; Graduate School of Information Science and Technology, The University of Tokyo, Tokyo 113-8656, Japan; Graduate School of Engineering, The University of Tokyo, Tokyo 113-8656, Japan.
authors.forename: Kazuyuki
authors.initials: K
authors.lastname: Aihara
mesh_terms: D053263:Gene Regulatory Networks; D008954:Models, Biological; D015203:Reproducibility of Results