Escaping the rays

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منابع مشابه

Escaping Points and Symbolic Dynamics 4 3 Tails of Dynamic Rays 8 4 Dynamic Rays 14 5 Eventually Horizontal Escape 17 6 Classification of Escaping Points 21 7

We study the dynamics of iterated cosine maps E: z 7→ aez + be−z, with a, b ∈ C \ {0}. We show that the points which converge to ∞ under iteration are organized in the form of rays and, as in the exponential family, every escaping point is either on one of these rays or the landing point of a unique ray. Thus we get a complete classification of the escaping points of the cosine family, confirmi...

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ژورنال

عنوان ژورنال: Nature Reviews Cancer

سال: 2002

ISSN: 1474-175X,1474-1768

DOI: 10.1038/nrc955