The paper deals with bifurcation and chaos phenomena theoretically observed in a simple electromagnetic system consisting of a linear, distortionless transmission line connected to an active linear resistor (R < 0) at one end and to a pn-junction diode at the other end. The active resistor gives rise to the stretching phenomena and the diode the back folding one; the combination of these two mechanisms may lead to chaotic dynamics. The Poincare map of the ''backward voltage wave'' at pn-junction diode is obtained by solving a one dimensional nonlinear implicit difference equation. For R < -R(c) (R(c) is the characteristic ''impedance'' of the line) the mapping is unimodal and the dynamics follow the Feigenbaum route to chaos [1]. The nonlinear implicit difference equation is solved numerically. Spatiotemporal chaos is observed in the voltage and current waves. By replacing the pn-junction diode with a twin-pn junction diode circuit, the hopping mechanism is also met.
Chaotic Dynamics In An Infinite-dimensional Electromagnetic System / Corti, Lorenza; L., Demenna; Miano, Giovanni; Verolino, Luigi. - In: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I. FUNDAMENTAL THEORY AND APPLICATIONS. - ISSN 1057-7122. - STAMPA. - 41:(1994), pp. 730-736. [10.1109/81.331524]
Chaotic Dynamics In An Infinite-dimensional Electromagnetic System
CORTI, LORENZA;MIANO, GIOVANNI;VEROLINO, LUIGI
1994
Abstract
The paper deals with bifurcation and chaos phenomena theoretically observed in a simple electromagnetic system consisting of a linear, distortionless transmission line connected to an active linear resistor (R < 0) at one end and to a pn-junction diode at the other end. The active resistor gives rise to the stretching phenomena and the diode the back folding one; the combination of these two mechanisms may lead to chaotic dynamics. The Poincare map of the ''backward voltage wave'' at pn-junction diode is obtained by solving a one dimensional nonlinear implicit difference equation. For R < -R(c) (R(c) is the characteristic ''impedance'' of the line) the mapping is unimodal and the dynamics follow the Feigenbaum route to chaos [1]. The nonlinear implicit difference equation is solved numerically. Spatiotemporal chaos is observed in the voltage and current waves. By replacing the pn-junction diode with a twin-pn junction diode circuit, the hopping mechanism is also met.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
