Title :
Chaotic behaviour of distributed nonlinear circuits
Author :
Sobhy, M.I. ; Hosny, E.A. ; Nasser, A.A.A.
Author_Institution :
Electron. Eng. Lab., Kent Univ., Canterbury, UK
Abstract :
A detailed procedure for analyzing the chaotic behavior of a second-order negative resistance distributed oscillator is presented. Both cases of commensurate transmission lines and noncommensurate transmission lines are considered. The negative resistance characteristics as well as the relative length of the transmission lines play an important role in the qualitative behavior of the circuit. The circuit behavior is investigated near Neimark, and Flip bifurcation boundaries. The technique used depends upon the properties of the iterated maps, the (-α,β), and the multilevel oscillation theorems. The route to chaos through a period adding sequence is displayed by means of time-domain phase-plane simulations and bifurcation diagrams
Keywords :
bifurcation; chaos; distributed parameter networks; negative resistance; nonlinear network analysis; oscillators; Flip bifurcation boundaries; Neimark bifurcation; bifurcation diagrams; chaotic behavior; commensurate transmission lines; distributed nonlinear circuits; iterated maps; multilevel oscillation theorems; negative resistance distributed oscillator; noncommensurate transmission lines; period adding sequence; time-domain phase-plane simulations; Bifurcation; Chaos; Circuit stability; Distributed parameter circuits; Equations; Nonlinear circuits; Oscillators; Piecewise linear techniques; Stability analysis; Transmission line theory;
Conference_Titel :
Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0593-0
DOI :
10.1109/ISCAS.1992.230614
