Mean-field effects on the aging transitions in the damaged networks

Bidesh K. Bera

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We investigate the dynamical robustness property of the damaged network of active and inactive oscillators under the influence of the mean-field diffusion. The tolerance of dynamical activity of the entire coupled network has realized through the aging transition in the coupled dynamical network. We analytically derived the critical threshold of mean-field density and coupling values for the appearance of the aging transition in the damaged network. By using the critical values as a quantifiable measure of dynamical robustness of the damaged network, we showed that higher mean-field value is favorable to increase the dynamical robustness of the entire network. We also perform the numerical experiment on the network of Stuart-Landau oscillators and the obtained numerical results have an excellent agreement with the analytical findings. Finally, we extend our investigation into the coupled time-delayed network and discussed the affirmative influence of the mean-field parameter on the dynamical robustness of the network.

Original languageEnglish
Article number126605
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume384
Issue number24
DOIs
StatePublished - 28 Aug 2020

Keywords

  • Aging transition
  • Damaged network
  • Dynamical robustness
  • Mean-field coupling
  • Timedelay interaction

ASJC Scopus subject areas

  • General Physics and Astronomy

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