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 language | English |
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Pages (from-to) | 3093-3098 |
Number of pages | 6 |
Journal | International Journal of Bifurcation and Chaos |
Volume | 13 |
Issue number | 10 |
DOIs | |
Publication status | Published - Oct 2003 |
Keywords
- Butterfly attractor
- Chaos
- Chaotic oscillators
- Lorenz system