STRANGE ATTRACTOR OF HENON MAP AND ITS BASIN | |
CAO, YL | |
1995 | |
关键词 | TRAPPING REGION UNSTABLE MANIFOLD STRANGE ATTRACTOR BASIN OF ATTRACTION |
英文摘要 | In this paper, Henon map is considered. For a positive measure set of parameters (a, b), we construct a trapping region G of topologically transitive strange attractor Lambda(a.b) for Ta,b, and prove that Lambda(a,b) = boolean AND(n greater than or equal to 0)T(a,b)(n)G, and the basin B(Lambda(a,b)) of Lambda(a,b) is exactly the union of domain whose boundary is contained in w(s)(p) boolean OR w(u)(p) and w(s)(p). Therefore, that the conjecture posed by Benedicks and Carleson about the basin of strange attactor is true is proved. Furthermore, B(Lambda(a,b)) is simply connected and path-connected, w(s)(p(2)) is contained in the attainable boundary set of B(Lambda(a,b)) (where p(2) is another hyperbolic fixed point of T-a,T-b).; Mathematics, Applied; Mathematics; SCI(E); 4; 1; 29-35; 38 |
语种 | 英语 |
出处 | SCI |
出版者 | science in china series a mathematics physics astronomy technological sciences |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/403064] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | CAO, YL. STRANGE ATTRACTOR OF HENON MAP AND ITS BASIN. 1995-01-01. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论