Title :
Analysis of chaotic behavior in lumped-distributed circuits applied to the time-delayed Chua´s circuit
Author :
Hosny, E.A. ; Sobhy, M.I.
Author_Institution :
Kent Univ., Canterbury, UK
fDate :
12/1/1994 12:00:00 AM
Abstract :
A general method for the analysis of prechaotic and chaotic behaviors in lumped-distributed circuits has been developed. The method is applied to the time-delayed Chua´s circuit and the analysis predicts the possibility of the existence of multilevel oscillations and chaotic behavior of the circuit. The proposed procedure predicts the presence of multilevel oscillations which may lead to a chaotic behavior of this circuit. A bifurcation diagram, and phase plane are presented which verify the proposed procedure
Keywords :
Chua´s circuit; bifurcation; chaos; circuit oscillations; delay circuits; nonlinear network analysis; bifurcation diagram; chaotic behavior; lumped-distributed circuits; multilevel oscillations; phase plane; prechaotic behavior; time-delayed Chua´s circuit; Capacitors; Chaos; Circuits; Equations; Inductors; Jacobian matrices; Stability; Transmission line matrix methods; Transmission line theory; Voltage;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
