The Newhouse set has a positive Hausdorff dimension
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چکیده
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The Newhouse Set Has a Positive Hausdorff Dimension
The Newhouse phenomenon of infinitely many coexisting periodic attractors is studied in its simplest form. One shows that the corresponding parameter set (the Newhouse set) JN has a strictly positive Hausdorff dimension. This result is stronger than that of Tedeschini-Lalli and Yorke [Commun. Math. Phys. 106, 635 (1986)] concerning the Lebesgue measure of the Newhouse set; and is complementary ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1990
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02161417