Network mutual information and synchronization under time transformations

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

Research output: Contribution to journalArticle

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

Cite this

Network mutual information and synchronization under time transformations. / Pereira, T.; Thiel, M.; Baptista, M. S.; Kurths, J.

In: New Journal of Physics, Vol. 10, 05.08.2008, p. -.

Research output: Contribution to journalArticle

@article{558952d58ad0498d9a1bb4795d3cf68e,
title = "Network mutual information and synchronization under time transformations",
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.",
keywords = "phase synchronization, chaotic systems",
author = "T. Pereira and M. Thiel and Baptista, {M. S.} and J. Kurths",
year = "2008",
month = "8",
day = "5",
doi = "10.1088/1367-2630/10/8/083003",
language = "English",
volume = "10",
pages = "--",
journal = "New Journal of Physics",
issn = "1367-2630",
publisher = "IOP Publishing Ltd.",

}

TY - JOUR

T1 - Network mutual information and synchronization under time transformations

AU - Pereira, T.

AU - Thiel, M.

AU - Baptista, M. S.

AU - Kurths, J.

PY - 2008/8/5

Y1 - 2008/8/5

N2 - 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.

AB - 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.

KW - phase synchronization

KW - chaotic systems

U2 - 10.1088/1367-2630/10/8/083003

DO - 10.1088/1367-2630/10/8/083003

M3 - Article

VL - 10

SP - -

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

ER -