In this article we present some examples of bifurcations and chaotic phenomena theoretically observed in a simple electromagnetic system. The system consists of a linear lossless, or Heaviside distorsionless, transmission line connected to a Linear resistor at one end (active branch) and to a nonlinear resistor at the other end (passive branch). The time dynamics of the backward voltage wave evaluated across the nonlinear resistor are described by a one-dimensional non linear mapping. A uniqueness theorem and the discussion of a problem with more than one solution complete the paper.
Bifurcations and chaos in transmission lines
MIANO, GIOVANNI;
1996-01-01
Abstract
In this article we present some examples of bifurcations and chaotic phenomena theoretically observed in a simple electromagnetic system. The system consists of a linear lossless, or Heaviside distorsionless, transmission line connected to a Linear resistor at one end (active branch) and to a nonlinear resistor at the other end (passive branch). The time dynamics of the backward voltage wave evaluated across the nonlinear resistor are described by a one-dimensional non linear mapping. A uniqueness theorem and the discussion of a problem with more than one solution complete the paper.File in questo prodotto:
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