Electronic Resource
Springer
Communications in mathematical physics
131 (1990), S. 317-332
ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract 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)J N 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 to our knowledge on the topological properties ofJ N, namely it is a residual set, hence uncountable and everywhere dense in a parameter interval.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02161417
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