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)


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
Issue number10
Publication statusPublished - Oct 2003


  • Butterfly attractor
  • Chaos
  • Chaotic oscillators
  • Lorenz system


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