Observation and analysis of chaos with digitalizing measure in a CMOS mapping system

Author

Zhu, Jun-qi ; Takakubo, Hajime ; Shono, Katsufusa

Author_Institution

Fac. of Sci. & Technol., Sophia Univ., Tokyo, Japan

Volume

43

Issue

6

fYear

1996

fDate

6/1/1996 12:00:00 AM

Firstpage

444

Lastpage

452

Abstract

The internal state of chaos existing in a mapping system, which applies a CMOS array circuit as a voltage-mode one-dimensional function generator, is observed with a method of synchronous analog-to-digital conversion. Time series containing digitalized internal states is the only experimental data obtained in dynamics observation of this system. The system internal state is investigated in time series to analyze the chaotic motion. Lyapunov exponent calculation and correlation dimension calculation about the recorded chaos are carried out through time series analysis. The past and future manifestations of internal state in chaotic time series is discussed and the system performance with respect to operating accuracy is evaluated in an example of text ciphering applying time series recording

Keywords

CMOS integrated circuits; Lyapunov methods; analogue-digital conversion; chaos; function generators; nonlinear network analysis; time series; CMOS array circuit; Lyapunov exponent; chaos; correlation dimension; digitalization; dynamics; internal state; mapping system; synchronous analog-to-digital conversion; text ciphering; time series; voltage-mode one-dimensional function generator; CMOS analog integrated circuits; CMOS digital integrated circuits; Chaos; Laboratories; Mathematical model; Nonlinear dynamical systems; Semiconductor device modeling; Signal generators; Time series analysis; Voltage;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.503253

Filename

503253