| Lauwerier吸引子结构和SBR测度 |
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| 引用本文： | 王益,曹永罗. Lauwerier吸引子结构和SBR测度[J]. 高校应用数学学报(英文版), 2001, 16(1): 25-34. DOI: 10.1007/s11766-001-0034-y |
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| 作者姓名： | 王益 曹永罗 |
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| 作者单位： | Wang Yi Cao Yongluo Dept. of Math.，Suzhou Univ.，Suzhou 215006. |
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| 基金项目： | Supported by the Special Funds for Major State Basic Research Projects and NSF(1 0 0 71 0 55) |
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| 摘 要： | Abstract. In this paper,the Lauwerier map
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| 关 键 词： | Lauwerier吸引子结构 SBR测度 拓扑学 不稳定性 特征值 双曲线 |
| 收稿时间： | 1999-10-13 |
Sinai-bowen-ruelle measure and the structure of strange attractors in the Lauwerier map |
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| Wang Yi,Cao Yongluo. Sinai-bowen-ruelle measure and the structure of strange attractors in the Lauwerier map[J]. Applied Mathematics A Journal of Chinese Universities, 2001, 16(1): 25-34. DOI: 10.1007/s11766-001-0034-y |
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| Authors: | Wang Yi Cao Yongluo |
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| Affiliation: | (1) Dept. of Math., Suzhou Univ., 215006 Suzhou |
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| Abstract: | In this paper, the Lauwerier map F a,b (x,y)=(bx(1−2y)+y, ay(1−y)) is considered for a=4. This map possesses a nontrivial topologically transitive attractor Λ which is the closure of the unstable set of some hyperbolic fixed point. Periodic points are dense in Λ and all of them are hyperbolic with eigenvalues uniformly bounded away from 1 in norm. Moreover, any two periodic points are heteroclinically related (transversal intersection of their stable and unstable sets). The Sinai-Bowen-Ruelle measure supported on the attractor is constructed and its properties are studied. Supported by the Special Funds for Major State Basic Research Projects and NSF (10071055). |
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| Keywords: | Strange attractors Sinai Bowen Ruelle measure transversal homoclinic point. |
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