Title :
Using characteristic multiplier loci to predict bifurcation phenomena and chaos-a tutorial
Author :
Duchesne, Laurent
Author_Institution :
Ecole Nat. Superieure de l´´Aeronaut. et de l´´Espace, Toulouse, France
fDate :
10/1/1993 12:00:00 AM
Abstract :
Presents a tutorial on the interpretation and applications of characteristic multipliers (CMs). It gives a definition of this concept and its applications using Chua´s circuit as a vehicle of illustration. Two basic bifurcation routes to chaos are studied: period doubling and transition to torus
Keywords :
bifurcation; chaos; limit cycles; nonlinear dynamical systems; nonlinear network analysis; Chua´s circuit; bifurcation phenomena; chaos; characteristic multiplier loci; period doubling; transition to torus; Bifurcation; Chaos; Circuits; Electric breakdown; Equations; Helium; Limit-cycles; Mobile robots; Remotely operated vehicles; Tutorial;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
