A 4-D chaotic oscillator based on a differential hysteresis comparator

Author

Varrientos, Joseph E. ; Sánchez-Sinencio, Edgar

Author_Institution

Dallas Semicond. Corp., TX, USA

Volume

45

Issue

1

fYear

1998

fDate

1/1/1998 12:00:00 AM

Firstpage

3

Lastpage

10

Abstract

A design approach for higher orders of chaotic systems is proposed. The chaotic oscillator presented is hierarchically modeled and simulated at the system, building-block, and circuit levels. The approach shows that the finite response times of hysteresis elements can be used to increase the order of differential hysteresis comparators. The hysteretic comparator demonstrated is a differential hysteresis which provides two orders of freedom and three possible output values. Experimental results are given for a triple-scroll chaotic oscillator constructed using a RC-opamp design approach. Results from the experimental four-dimensional system are In good agreement to theoretical results

Keywords

chaos; circuit analysis computing; comparators (circuits); hysteresis; nonlinear network synthesis; oscillators; RC-opamp design; building-block level simulation; circuit level simulation; differential hysteresis comparator; four-dimensional system; hierarchical model; macromodel; system level simulation; triple-scroll 4D chaotic oscillator; Chaos; Circuit simulation; Delay; Feedback loop; Hysteresis; Linearity; Nonlinear equations; Oscillators; Signal design; Signal processing;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.660745

Filename

660745