Abstract
We apply the Perron–Frobenius operator to study type-II intermittency. By means of this operator we can obtain theoretical expressions for the reinjection probability density function, ϕ(x), and the probability density of the laminar lengths, ψ(l), for several maps with type-II intermittency. To validate these expressions we compare the analytical ϕ(x) and ψ(l) functions with numerical data; we find very good accuracy between theoretical equations and numerical simulations. Also, we carry out comparisons between the new ϕ(x) and ψ(l) functions with those obtained using the M(x) function methodology. Finally, we describe the advantages and difficulties of both methodologies.
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