Title :
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
fDate :
6/1/1996 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
