A four-wing butterfly attractor from a fully autonomous system

Elwakil A., Ozoguz S., KENNEDY M.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, vol.13, no.10, pp.3093-3098, 2003 (SCI-Expanded) identifier identifier


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.