Fractalization of a torus as a strange nonchaotic attractor

Takashi Nishikawa*, Kunihiko Kaneko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

148 Scopus citations


Fractalization of a torus and its transition to chaos in a quasiperiodically forced logistic map is reinvestigated in relation to a strange nonchaotic attractor, with the aid of a functional equation for the invariant curve. The existence of a fractal torus in an interval in parameter space is confirmed by the length and the number of extrema of the torus attractor, as well as the Fourier mode analysis. Mechanisms of the onset of a fractal torus and the transition to chaos are studied in connection with the intermittency.

Original languageEnglish (US)
Pages (from-to)6114-6124
Number of pages11
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number6
StatePublished - 1996

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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