Title :
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
fDate :
11/1/1993 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on