Sights and sounds of chaos (autonomous and nonautonomous circuits)

Author

Chua, Leon O. ; Madan, Rabinder N.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA

Volume

4

Issue

1

fYear

1988

Firstpage

3

Lastpage

13

Abstract

The concept of chaos is introduced using actual circuit experiments. Several well-known chaotic circuits are used as vehicles to demonstrate the many phenomena associated with chaos. They are divided into two classes, autonomous and nonautonomous. For the simplest autonomous circuits the authors examine strange attractors, the Lorenz circuit, Lyapunov exponents, and fractals. For the simplest nonautonomous circuits they consider period-doubling, the two-dimensional Poincare cross section, the Devil´s staircase, and phase-locked loops.<>

Keywords

Lyapunov methods; chaos; circuit theory; fractals; nonlinear network analysis; phase-locked loops; Devil´s staircase; Lorenz circuit; Lyapunov exponents; autonomous circuits; chaos; chaotic circuits; fractals; nonautonomous circuits; nonlinear networks; period-doubling; phase-locked loops; strange attractors; two-dimensional Poincare cross section; Acoustical engineering; Bifurcation; Chaos; Circuits; Frequency; Nonlinear dynamical systems; Robustness; Steady-state; Switches; Vehicle dynamics;

fLanguage

English

Journal_Title

Circuits and Devices Magazine, IEEE

Publisher

ieee

ISSN

8755-3996

Type

jour

DOI

10.1109/101.924

Filename

924