Abstract
This chapter outlines the problem of an ideal two-conductor line connecting two nonlinear resistors and illustrates some general results. The state equations relevant to circuits composed by lumped and distributed elements are nonlinear difference equations with one delay. These equations are studied in the chapter by recasting them as a nonlinear one-dimensional (1D) map, in which the time t is no longer a continuous variable but a sequence of discrete values. By studying the main properties of these maps, this chapter highlights that bifurcations, periodic oscillations, and chaos may arise when at least one terminal resistor is active and the other is nonlinear. The chapter also outlines the main difficulty arising when two-conductor lines with losses are considered.
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