Model of the Belousov-Zhabotinsky reaction Part 2: Central role of the internal excitationgrowth rate

TL;DR

This paper analyzes a detailed model of the Belousov-Zhabotinsky reaction, emphasizing the importance of the internal excitation growth rate in determining system behavior and trajectory, and relates it to experimental observations.

Contribution

It demonstrates how the internal excitation growth rate influences the system's limit set and trajectory, providing a link between model parameters and experimental results.

Findings

The g/maxState ratio affects the structure of the limit set.

Multiple internal excitation rates can produce features observed experimentally.

An inherent experimental time unit relates to the chemical reaction process.

Abstract

The model of the Belousov-Zhabotinsky reaction, so-called hodgepodge machine, is discussed in detail and compared with the experimentally determined system trajectory. We show that many of the features observed in the experiment may be found at different internal excitation growth rates, the g/maxState ratios. The g/maxState ratio determines the structure of the limit set and defines also details of the system state-space trajectory. While the limit set identical to the experiment and the model may be found, there is not a single g/maxState level which defines the trajectory identical to the experiment. We also propose that there is an inherent experimental time unit defined by the time extent of the bottleneck chemical reaction process which defines the g/maxState ratio and the spatial element of the process.