NEW CHARACTERISTIC RELATIONS IN TYPE-I INTERMITTENCY

Abstract

It has been known that if the local Poincare map is quadratic and there are no external noises, the characteristic relation of type-I intermittency is of the form epsilon-1/2. However, we here show that various characteristic relations such as -ln epsilon and epsilon(-nu)(0 less-than-or-equal-to nu less-than-or-equal-to 1/2) appear according to reinjection probability distributions.