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	Nonsingular star flows satisfy axiom a and the no-cycle condition
	Gan, SB ; Wen, L
	2006
关键词	C-1 STABILITY CONJECTURE HOMOCLINIC TANGENCIES DIFFEOMORPHISMS PROOF SYSTEMS LEMMA MANIFOLDS SETS
英文摘要	We give an affirmative answer to a problem of Liao and Mane which asks whether, for a nonsingular flow to loose the Omega-stability, it must go through a critical-element-bifurcation. More precisely, a vector field S on a compact boundaryless manifold is called a star system if S has a C-1 neighborhood U in the set of C-1 vector fields such that every singularity and every periodic orbit of every X epsilon U is hyperbolic. We prove that any nonsingular star flow satisfies Axiom A and the no cycle condition.; Mathematics; SCI(E); 0; ARTICLE; 2; 279-315; 164
语种	英语
出处	SCI
出版者	inventiones mathematicae
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157906]
专题	数学科学学院
推荐引用方式 GB/T 7714	Gan, SB,Wen, L. Nonsingular star flows satisfy axiom a and the no-cycle condition. 2006-01-01.

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