Synchronization in noisy systems and cardiorespiratory interaction

In this article, we restrict ourselves to an understanding of the synchronization phenomenon as an adjustment of rhythms of two weakly interacting self-sustained oscillators. We describe a unified approach to synchronization of noisy and chaotic systems and demonstrate that this approach can be used to address the inverse problem of identification of the presence of weak interaction between natural systems from bivariate data. In this way, we reveal the presence of weak interactions between the human cardiovascular and respiratory systems.