A FOUR-WING BUTTERFLY ATTRACTOR FROM A FULLY AUTONOMOUS SYSTEM-Reference-Cited by-同舟云学术

A FOUR-WING BUTTERFLY ATTRACTOR FROM A FULLY AUTONOMOUS SYSTEM

Published:2003-10 Issue:10 Volume:13 Page:3093-3098
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ELWAKIL A. S.¹,ÖZOǦUZ S.²,KENNEDY M. P.³

Affiliation:

1. Department of Electrical & Electronic Engineering, University of Sharjah, P.O. Box 27272, Emirates

2. Istanbul Technical University, Faculty of Electrical-Electronics Engineering, 80626, Maslak, Istanbul, Turkey

3. Department of Microelectronic Engineering, University College Cork, Cork, Ireland

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127403008405

Reference9 articles.

1. “LORENZ ATTRACTOR” FROM DIFFERENTIAL EQUATIONS WITH PIECEWISE-LINEAR TERMS

2. YET ANOTHER CHAOTIC ATTRACTOR

3. Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices

4. Creation of a complex butterfly attractor using a novel Lorenz-Type system

5. Deterministic Nonperiodic Flow

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