Title :
Floquet analysis of the intermittence route to chaos through a pitchfork bifurcation
Author :
Sancho, Sergio ; Suarez, Almudena ; Roman, Pablo San
Author_Institution :
Dept. Ingeniera de Comunicaciones, Cantabria Univ., Santander, Spain
fDate :
3/1/2001 12:00:00 AM
Abstract :
In this paper, the Floquet theory is combined with harmonic balance for the in-depth analysis of a Chua´s family circuit, exhibiting intermittence. Floquet multipliers are calculated along the periodic solution paths obtained through harmonic balance by means of a continuation algorithm. The analysis of both the stable and unstable solution sections enhances the information about the system and permits a better understanding of the different phenomena that take place
Keywords :
Chua´s circuit; bifurcation; chaos; circuit stability; harmonic analysis; Chua´s family circuit; Floquet analysis; chaos; continuation algorithm; harmonic balance; intermittence route; pitchfork bifurcation; stable solution sections; unstable solution sections; Bifurcation; Chaos; Chaotic communication; Circuits; Cryptography; Gyrators; Oscillators; Resistors; Robustness; Signal design;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
