Recurrences of strange attractors

E. J. Ngamga, A. Nandi, R. Ramaswamy, M. C. Romano, M. Thiel, J. Kurths

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The transitions from or to strange nonchaotic attractors are investigated by recurrence plot-based methods. The techniques used here take into account the recurrence times and the fact that trajectories on strange nonchaotic attractors (SNAs) synchronize. The performance of these techniques is shown for the Heagy-Hammel transition to SNAs and for the fractalization transition to SNAs for which other usual nonlinear analysis tools are not successful.

Original languageEnglish
Pages (from-to)1039-1045
Number of pages7
JournalPramana
Volume70
Issue number6
Publication statusPublished - Jun 2008

Keywords

  • recurrence plots
  • recurrence times
  • strange chaotic and nonchaotic attractors
  • nonchaotic attractors
  • plots
  • systems
  • fractalization
  • torus

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