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The nonmonotonic twist maps and basic hyperbolic sets |
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| Authors: | Yan Qin Jian Cheng Chongqing Cheng |
| Affiliation: | (1) Department of Mathematics, Nanjing University, 210093 Nanjing, China |
| Abstract: | The existence of horseshoes for a family of nonmonotonic twist maps is established. And it is proved that the Hausdorff dimension of the horseshoes goes to the dimension of phase space as the parameter goes to infinity. |
| Keywords: | basic hyprbolic sets horseshoes topological entropy Hausdorff dimension |
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