A frequency approach for analyzing and controlling chaos in nonlinear circuits

Author

Genesio, Roberto ; Tesi, Alberto ; Villoresi, Francesca

Author_Institution

Dept. of Syst. & Inf., Florence Univ., Italy

Volume

40

Issue

11

fYear

1993

fDate

11/1/1993 12:00:00 AM

Firstpage

819

Lastpage

828

Abstract

The paper presents a frequency domain approach for studying the chaotic dynamics of an important class of nonlinear circuits. By formulating an elementary model of chaos and using the harmonic balance principle, techniques for the analysis and the stabilization to a periodic solution of complex systems are developed. They result in engineering tools which are simple and practical, although not rigorous in principle, providing a qualitative view of the global dynamics under study. Some applications concerning the recent unfolded Chua´s circuit are considered

Keywords

chaos; feedback; frequency-domain analysis; nonlinear network analysis; stability; chaos; chaotic dynamics; complex systems; frequency domain approach; harmonic balance principle; nonlinear circuits; periodic solution; stabilization; unfolded Chua circuit; Biology; Chaos; Chemistry; Circuit theory; Feedback; Frequency domain analysis; Harmonic analysis; Mathematics; Nonlinear circuits; Nonlinear dynamical systems;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.251820

Filename

251820