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Mapping dynamical systems onto complex networks

Author

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  • E. P. Borges
  • D. O. Cajueiro
  • R. F.S. Andrade

Abstract

The objective of this study is to design a procedure to characterize chaotic dynamical systems, in which they are mapped onto a complex network. The nodes represent the regions of space visited by the system, while the edges represent the transitions between these regions. Parameters developed to quantify the properties of complex networks, including those related to higher order neighbourhoods, are used in the analysis. The methodology is tested on the logistic map, focusing on the onset of chaos and chaotic regimes. The corresponding networks were found to have distinct features that are associated with the particular type of dynamics that generated them. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • E. P. Borges & D. O. Cajueiro & R. F.S. Andrade, 2007. "Mapping dynamical systems onto complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 58(4), pages 469-474, August.
    • Handle: RePEc:spr:eurphb:v:58:y:2007:i:4:p:469-474
    DOI: 10.1140/epjb/e2007-00248-6
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    Cited by:

    1. Cajueiro, Daniel O., 2010. "Optimal navigation for characterizing the role of the nodes in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1945-1954.

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