In this chapter, we will discuss the application of the static and dynamic measures of pairwise (e.g., the MIR,the GC and the GA) and high-order (e.g., the OI/OIR and the OI gradients) connectivity defined respectively in Chaps. 3 and 4 to a variety of physiological signals, starting from univariate analysis of beat-to-beat arterial compliance time series (Sect. 5.1) and then moving towards bivariate (Sects. 5.2–5.6) and high-order (Sects. 5.7–5.11) analyses of more complex physiological systems. Our aim is to elicit non-invasively the physiological mechanisms underlying complex cardiovascular, cardiorespiratory and cerebrovascular regulation from the (joint) analysis of the spontaneous variability of the main cardiovascular, cardiorespiratory and cerebrovascular parameters.