Model of the Belousov-Zhabotinsky reaction

TL;DR

This paper presents a modified mathematical model of the Belousov-Zhabotinsky reaction that accurately reproduces observed experimental patterns, including spiral structures and potential grid formations, based on dynamic systems assumptions.

Contribution

It introduces a new modified model that better captures the reaction's pattern formation and explores the conditions for spiral and grid structures.

Findings

The model closely matches experimental limit sets.

Asymmetrical ignition leads to spiral structures.

The reaction likely forms a regular grid pattern.

Abstract

The article describes results of the modified model of the Belousov-Zhabotinsky reaction, which resembles rather well the limit set observed upon experimental performance of the reaction in the Petri dish. We discuss the concept of the ignition of circular waves and show that only the asymmetrical ignition leads to the formation of spiral structures. From the qualitative assumptions on the behavior of dynamic systems, we conclude that the Belousov-Zhabotinsky reaction likely forms a regular grid.