Family of Invariant Cantor Sets as orbits of Differential Equations
نویسنده
چکیده
The invariant Cantor sets of the logistic map gμ(x) = μx(1 − x) for μ > 4 are hyperbolic and form a continuous family. We show that this family can be obtained explicitly through solutions of infinitely coupled differential equations due to the hyperbolicity. The same result also applies to the tent map Ta(x) = a(1/2− |1/2− x|) for a > 2.
منابع مشابه
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ورودعنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 18 شماره
صفحات -
تاریخ انتشار 2008