Exact solutions for signal propagation along an excitable transmission line
Abstract
A simple transmission line composed of pulse-coupled units is presented. The model captures the basic properties of excitable media with, in particular, the robust transmission of information via traveling wave solutions. For rectified linear units with a cutoff threshold, the model is exactly solvable and analytical results on propagation are presented. The ability to convey a non-trivial message is studied in detail.
Domains
Mathematics [math]
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