High-frequency chaotic Lorenz circuit

Author

Blakely, Jonathan N. ; Eskridge, Michael B. ; Corron, Ned J.

Author_Institution

US Army RDECOM, Redstone Arsenal

fYear

2008

fDate

3-6 April 2008

Firstpage

69

Lastpage

74

Abstract

A novel electronic circuit design based on the chaotic Lorenz oscillator is described. The circuit consists of just two active nonlinear elements (high-speed analog multipliers) and a few passive linear components. Experimental realizations exhibit the classic butterfly attractor and the hysteretic transition from steady state to chaos observed in the Lorenz equations. The simplicity of the circuit makes it suitable for radio frequency applications. The power spectrum of the observed oscillations displays a peak frequency as high as 930 kHz and significant power beyond 1 MHz.

Keywords

active networks; chaos; network synthesis; oscillators; passive networks; Lorenz equations; active nonlinear elements; butterfly attractor; chaotic Lorenz oscillator; electronic circuit design; high-frequency chaotic Lorenz circuit; high-speed analog multipliers; hysteretic transition; passive linear components; power spectrum; radio frequency applications; Chaos; Chaotic communication; Dynamic range; Electronic circuits; Hysteresis; Nonlinear equations; Oscillators; Radio frequency; Signal design; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

Southeastcon, 2008. IEEE

Conference_Location

Huntsville, AL

Print_ISBN

978-1-4244-1883-1

Electronic_ISBN

978-1-4244-1884-8

Type

conf

DOI

10.1109/SECON.2008.4494258

Filename

4494258