EXPERIMENTAL VERIFICATION OF THE BUTTERFLY ATTRACTOR IN A MODIFIED LORENZ SYSTEM-Reference-Cited by-同舟云学术

EXPERIMENTAL VERIFICATION OF THE BUTTERFLY ATTRACTOR IN A MODIFIED LORENZ SYSTEM

Published:2002-07 Issue:07 Volume:12 Page:1627-1632
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

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

Affiliation:

1. Istanbul Technical University, Faculty of Electrical–Electronics Engineering, 80626, Maslak, Istanbul, Turkey

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

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

Abstract

An electronic circuit realization of a modified Lorenz system, which is multiplier-free, is described. The well-known butterfly chaotic attractor is experimentally observed verifying that the proposed modified system does capture the essential dynamics of the original Lorenz system. Furthermore, we clarify that the butterfly attractor is a compound structure obtained by merging together two simple attractors after performing one mirror operation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127402005364

Reference9 articles.

1. YET ANOTHER CHAOTIC ATTRACTOR

2. Two Modified for Chaos Negative Impedance Converter Op Amp Oscillators with Symmetrical and Antisymmetrical Nonlinearities

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

4. Topological analysis of chaotic dynamical systems

5. Lorenz-based chaotic cryptosystem: a monolithic implementation

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