Synchronization-optimized networks for coupled nearly identical oscillators and their structural analysis

Suman Acharyya, R. E. Amritkar

Research output: Contribution to journalArticlepeer-review

Abstract

The extension of the master stability function (MSF) to analyse stability of generalized synchronization for coupled nearly identical oscillators is discussed. The nearly identical nature of the coupled oscillators is due to some parameter mismatch while the dynamical equations are the same for all the oscillators. From the stability criteria of the MSF, we construct optimal networks with better synchronization property, i.e., the synchronization is stable for widest possible range of coupling parameters. In the optimized networks the nodes with parameter value at one extreme are selected as hubs. The pair of nodes with larger parameter difference are preferred to create links in the optimized networks, and the optimized networks are found to be disassortative in nature, i.e., the nodes with high degree tend to connect with nodes with low degree.

Original languageEnglish
Pages (from-to)173-182
Number of pages10
JournalPramana - Journal of Physics
Volume84
Issue number2
DOIs
StatePublished - 1 Feb 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© Indian Academy of Sciences.

Keywords

  • Coupled oscillators
  • Optimization
  • Synchronization

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