Design and control of RC VCCS 3-D hysteresis chaos generators

Author

Nakagawa, Shinji ; Saito, Toshimichi

Author_Institution

Sony Corp., Tokyo, Japan

Volume

45

Issue

2

fYear

1998

fDate

2/1/1998 12:00:00 AM

Firstpage

182

Lastpage

186

Abstract

This paper proposes a simple design procedure of chaos generators consisting of two capacitors, some resistors, one linear voltage-controlled current source (VCCS), and one piecewise-linear hysteresis VCCS. The design procedure is based on nodal analysis and can guarantee the chaos generation. The resulting circuits have suitable shapes to implement on-chip and an operational transconductance amplifier (OTA) implementation example is proposed to verify the chaos generation. Also, we apply a simple control method to stabilize a desired unstable periodic orbit (UPO) embedded in chaos

Keywords

RC circuits; analogue circuits; chaos; circuit stability; hysteresis; nonlinear network synthesis; operational amplifiers; piecewise-linear techniques; OTA implementation; RC VCCS 3-D hysteresis chaos generators; design procedure; nodal analysis; operational transconductance amplifier; piecewise-linear hysteresis VCCS; stability control method; unstable periodic orbit; voltage-controlled current source; Capacitors; Chaos; Circuits; Hysteresis; Piecewise linear techniques; Radio control; Resistors; Shape; Transconductance; Voltage;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.661688

Filename

661688