Prototypes of attractors in four dimensions

G. Baier, Jesper Skovhus Thomsen

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Abstract

We study an extension of Duffing's equation to three variables with external forcing. Starting from a phase-space preserving chaos, three prototypes of chaotic attractors with a dimension larger than 3 can be derived. We provide examples of hyperchaos and a ''bifractal'' in a four-dimensional how. The second-order Poincare cross section of hyperchaotic how is qualitatively equivalent to the first-order cross section of Ueda's attractor with the same forcing.
Original languageEnglish
JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume48
Issue number6
Pages (from-to)R4172-R4174
ISSN1063-651X
DOIs
Publication statusPublished - 1993

Bibliographical note

Copyright (1993) by the American Physical Society.

Keywords

  • CHAOS
  • CHEMICAL-REACTION
  • HYPERCHAOS

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