BIFURCATIONS AND CHAOS IN TRANSMISSION-LINES

In this article we present some examples of bifurcations and chaotic p henomena theoretically observed in a simple electromagnetic system. Th e system consists of a linear lossless, or Heaviside distorsionless, t ransmission line connected to a Linear resistor at one end (active bra nch) and to a nonlinear resistor at the other end (passive branch). Th e time dynamics of the backward voltage wave evaluated across the nonl inear resistor are described by a one-dimensional non linear mapping. A uniqueness theorem and the discussion of a problem with more than on e solution complete the paper.