Analysis of Spatiotemporal Patterns in an Infinite-Dimensional Electromagnetic System

An infinite-dimensional electromagnetic system is proposed as a practical model for analyzing the spatiotemporal chaos. The system consists of a linear lossless transmission line connected to a p-n-junction diode in series with a DC bias voltage source at one end and to an active linear resistor at the other end. The temporal dynamics of the backward-traveling voltage wave is investigated by using a corresponding one-dimensional map, and the effects of the serial dc bias voltage source on the dynamics of the system are particularly studied here. Numerical results are presented to show that the spatiotemporal nonlinear oscillation of the voltages along the lossless transmission line is the oscillation of isotropism with respect to space and time, and spatial intermittency and chaos exist in this infinite-dimensional electromagnetic system. Several spatiotemporal patterns of the voltages are also observed.