Title :
Chua´s circuit: rigorous results and future problems
Author :
Shil´nikov, Leonid P.
Author_Institution :
Inst. for Appl. Maths. and Cybern., Novgorod, Russia
fDate :
10/1/1993 12:00:00 AM
Abstract :
This paper provides a mathematician´s perspective on Chua´s circuit as a paradigm for chaos. It explains why Chua´s circuit is of interest not only to radio physicists but to nonlinear scientists from other disciplines as well. It points out why the double-scroll Chua´s attractor, which has been proved rigorously to be chaotic in the sense of the Shil´nikov theorem, is fundamentally different and mathematically much more complicated than that of the Lorenz attractor
Keywords :
bifurcation; chaos; nonlinear network analysis; Chua´s circuit; Shilnikov theorem; chaos; double-scroll Chua´s attractor; Bifurcation; Chaos; Circuits; Differential equations; Diodes; Modems; Nonlinear dynamical systems; Orbits; Power system modeling; Stability;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on