Abstract
Self-organization, which proceeds continuously with macroscopic order due to internal force alone in many biological systems, is embodied by the coupling of a primary and some partial systems to control the primary system slowly in general. By developing a simple dynamic and a chemical network model for self-organization, the behavior or unstability of such a coupled system is discussed with transition parameter k, which represents the change in the internal force and the sign change gives the potential bifurcation. This dynamical theory is further applied to membrane excitation based on the catastrophe theory.
