A four-wing butterfly attractor from a fully autonomous system


Elwakil A., Ozoguz S. , KENNEDY M.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, cilt.13, sa.10, ss.3093-3098, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 13 Konu: 10
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1142/s0218127403008405
  • Dergi Adı: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
  • Sayfa Sayıları: ss.3093-3098

Özet

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.