More on this topic, one of my favorites. Fractal scaling in all things natural. This paper has a nice discussion of that topic and shows that resistance training restores the heart to the healthy chaos it needs. Subjects with too much order in their heart beat (dimension 1.5 which is Brownian motion) moved toward a more healthy pattern, and those with too little order (dimension 0.5 random white noise) moved toward a more healthy pattern.
In contrast to the view of homeostasis as health, living systems strive for dynamic adaptation and operate far from an equilibrium state. The heart beat "plays" over many frequencies rather than beating like a metronome. That way it can go to many different stable, dynamic attractors that are adapted to any stress. A metronome can not adjust and has only one behavior. A playful, chaotic heart has many.