Chemical oscillators synchronized via an active oscillating medium: dynamics and phase approximation model

TL;DR

This paper investigates how chemical oscillators synchronize through an active medium, using bifurcation analysis and phase approximation models to understand the transition between synchronization states.

Contribution

It introduces a phase approximation model to analyze synchronization transitions in chemical oscillators embedded in an active medium, complementing bifurcation analysis.

Findings

Identification of different synchronization states

Bifurcation analysis of parameter space

Phase approximation for oscillator periods

Abstract

Different types of synchronization states are found when non-linear chemical oscillators are embedded into an active medium that interconnects the oscillators but also contributes to the system dynamics. Using different theoretical tools, we approach this problem in order to describe the transition between two such synchronized states. Bifurcation and continuation analysis provide a full description of the parameter space. Phase approximation modeling allows the calculation of the oscillator periods and the bifurcation point.