Chaotic behaviour of distributed nonlinear circuits

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 (- alpha , beta ), 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.<
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