I would like to ask for a piece of advice on references on following issue: Any (macroscopic) bifurcation of dynamical system generates some new information (or loss of information). In particular, when the dynamical system is loosing stability (i.e. stable equilibria becomes unstable) some new ammount of information is obtained. Still, I could not find any reference where this relation bifurcation-information is systematically explained. For instance, there are many different classifications of bifurcations, but I could not find any classification regarding the informational properties. So, can anyone help with some references or some brief explanation on this?