Exact solutions for signal propagation along an excitable transmission line.

Tonnelier, Arnaud · Phys Rev E · 2024

basic_science · Level V

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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 cut-off threshold, the model is exactly solvable and analytical results on propagation are presented. The ability to convey a nontrivial message is studied in detail.