Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 13, Issue 10, Pages 3093-3098Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127403008405
Keywords
chaos; Lorenz system; butterfly attractor; chaotic oscillators
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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.
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