THE NONMONOTONIC TWIST MAPS AND BASIC HYPERBOLIC SETS

Citation
Y. Qin et al., THE NONMONOTONIC TWIST MAPS AND BASIC HYPERBOLIC SETS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 41(11), 1998, pp. 1176-1183
Citations number
9
Categorie Soggetti
Multidisciplinary Sciences
ISSN journal
10016511
Volume
41
Issue
11
Year of publication
1998
Pages
1176 - 1183
Database
ISI
SICI code
1001-6511(1998)41:11<1176:TNTMAB>2.0.ZU;2-K
Abstract
The existence of horseshoes for a family of nonmonotonic twist maps is established. And it is proved that the Hausdorff dimension of the hor seshoes goes to the dimension of phase space as the parameter goes to infinity.