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

Author

Elwakil, A.S. ; Özoguz, S. ; Kennedy, M.P.

Author_Institution

Dept. of Electron. & Comput. Eng., Univ. of Sharjah, United Arab Emirates

Volume

49

Issue

4

fYear

2002

fDate

4/1/2002 12:00:00 AM

Firstpage

527

Lastpage

530

Abstract

A novel Lorenz-type system of nonlinear differential equations is proposed. Unlike the original Lorenz system, where the chaotic dynamics remain confined to the positive half-space with respect to the Z state variable due to a limiting threshold effect, the proposed system enables bipolar swing of this state variable. In addition, the classical set of parameters (a, b, c) controlling the behavior of the Lorenz system are reduced to a single parameter, namely a. Two possible modes of operation are admitted by the system; switching between these two modes results in the creation of a complex butterfly chaotic attractor. Numerical simulations and results from an experimental setup are presented

Keywords

chaos; circuit oscillations; field effect transistor switches; nonlinear differential equations; operational amplifiers; Lorenz-type system; MOS switches; bipolar swing; chaotic oscillators; complex butterfly chaotic attractor; complex four-wing attractor; electronic circuit; modes of operation; nonlinear differential equations; numerical simulations; positive-half space; single parameter; state variable; switching between modes; two-wing butterfly attractors; Chaos; Control systems; Damping; Differential equations; Engines; Nonlinear dynamical systems; Nonlinear equations; Numerical simulation; Oscillators; Voltage;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.995671

Filename

995671