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

Different types of synchronization states are found when non-linear chemical oscillators are em- bedded 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 tran- sition 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.