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 / Corti, Lorenza; Miano, Giovanni; Verolino, Luigi. - In: ARCHIV FUER ELEKTROTECHNIK. - ISSN 0003-9039. - STAMPA. - 79:(1996), pp. 165-171. [10.1007/BF01232784]
Bifurcations and chaos in transmission lines
CORTI, LORENZA;MIANO, GIOVANNI;VEROLINO, LUIGI
1996
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
