Interval-based tracing of strange attractors

Dominique Michelucci, Sebti Foufou

Research output: Contribution to journalArticlepeer-review

Abstract

The method described here relies on interval arithmetic and graph theory to compute guaranteed coverings of strange attractors like Hénon attractor. It copes with infinite intervals, using either a geometric method or a new directed projective interval arithmetic.

Original languageEnglish (US)
Pages (from-to)27-39
Number of pages13
JournalInternational Journal of Computational Geometry and Applications
Volume16
Issue number1
DOIs
StatePublished - Feb 2006

Keywords

  • Directed projective interval arithmetic
  • Hénon map
  • Interval arithmetic
  • Strange attractors
  • Strongly connected components

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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