Intermittency between Type I and Type V in Some Quasi-Discontinuous Systems

Abstract

In some practical systems a very short, rapid changing stage appears inside a relatively very long and slowly changing process. Such a system may be called quasi-discontinuous system. In order to qualify it, we quantitatively give the definitions of quasi-discontinuity and quasi-discontinuous region. By a simplified model, we have shown that the scaling law of the averaged laminar length of the intermittency in such systems can be an intermediate one between that of type I and type V. This phenomenon has been observed in Hindmarsh-Rose model describing neuronal activities.