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	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.

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