It has been known that if the local Poincar\'e map is quadratic and there are no external noises, the characteristic relation of type-I intermittency is of the form ε^-12. However, we here show that various characteristic relations such as -lnε and ε^-ν(0≤ν≤1/2) appear according to reinjection probability distributions.
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Kim et al. (1994) studied this question.
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