Network mutual information and synchronization under time transformations

T. Pereira, M. Thiel, M. S. Baptista, J. Kurths

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Abstract

We investigate the effect of general time transformations on the phase synchronization (PS) phenomenon and the mutual information rate (MIR) between pairs of nodes in dynamical networks. We demonstrate two important results concerning the invariance of both PS and the MIR. Under time transformations PS can neither be introduced nor destroyed and the MIR cannot be raised from zero. On the other hand, for proper time transformations the timing between the cycles of the coupled oscillators can be largely improved. Finally, we discuss the relevance of our findings for communication in dynamical networks.

Original languageEnglish
Pages (from-to)-
Number of pages15
JournalNew Journal of Physics
Volume10
DOIs
Publication statusPublished - 5 Aug 2008

Keywords

  • phase synchronization
  • chaotic systems

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