A four-wing butterfly attractor from a fully autonomous system

A. S. Elwakil*, S. Özoǧuz, M. P. Kennedy

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

50 Citations (Scopus)

Abstract

A novel system of nonlinear differential equations is proposed. This system is capable of generating a complex four-wing butterfly chaotic attractor by relying on two embedded state-controlled binary switches. Hence, the system is fully autonomous and does not require external forcing to create this attractor. Furthermore, digital logic operations (e.g. AND/OR) performed on the outputs of the two switches are permitted and effectively alter the dynamics of the system. Our findings are validated via experimental results.

Original languageEnglish
Pages (from-to)3093-3098
Number of pages6
JournalInternational Journal of Bifurcation and Chaos
Volume13
Issue number10
DOIs
Publication statusPublished - Oct 2003

Keywords

  • Butterfly attractor
  • Chaos
  • Chaotic oscillators
  • Lorenz system

Fingerprint

Dive into the research topics of 'A four-wing butterfly attractor from a fully autonomous system'. Together they form a unique fingerprint.

Cite this