Dimension estimate of the global attractor for forced oscillation systems

Yuji Hattori, Naoyuki Ishimura, Isamu Ohnishi, Makoto Umeki

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We deal with the largest compact invariant set X for forced oscillation systems. As in the Lorenz system X may contain a strange attractor. Invoking the Kaplan-Yorke formula we give an upper bound for the dimension of X analytically and compare it with numerical results. It is, observed that both agree rather well when the damping coefficient is small.

Original languageEnglish
Pages (from-to)351-366
Number of pages16
JournalJapan Journal of Industrial and Applied Mathematics
Issue number3
Publication statusPublished - 1993 Oct


  • dimensions
  • forced oscillation systems
  • Kaplan-Yorke formula
  • strange attractor


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