Superstable periodic orbits of 1d maps under quasi-periodic forcing and reducibility loss
نویسندگان
چکیده
منابع مشابه
Superstable periodic orbits of 1d maps under quasi-periodic forcing and reducibility loss∗
Let gα be a one-parameter family of one-dimensional maps with a cascade of period doubling bifurcations. Between each of these bifurcations, a superstable periodic orbit is known to exist. An example of such a family is the well-known logistic map. In this paper we deal with the effect of a quasi-periodic perturbation (with only one frequency) on this cascade. Let us call ε the perturbing param...
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2013
ISSN: 1078-0947
DOI: 10.3934/dcds.2014.34.589