Fractional Iterates and Oscillatory Convergence
Steven Finch
金银的简单持续分数是众所周知的。 令人惊讶的是,就我们所知,没有人为相应的算法发布半iterates(更不用说四分之一iterates)。 我们还检查后窦和逻辑图(参数2 < λ < 3)。
The simple continued fractions for the Golden Silver means are well-known. It is astonishing that, as far as we know, no one has published half-iterates (let alone quarter-iterates) for the corresponding algorithms. We also examine the cosine and logistic maps (with parameter 2 < λ < 3).