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	Ergodic hyperbolic attractors of endomorphisms
	Jiang, Da-Quan ; Qian, Min
	2006
关键词	hyperbolic attractor endomorphism Lyapunov exponent SRB-measure absolute continuity of local stable manifolds LYAPUNOV EXPONENTS TIME-SERIES LIAPUNOV EXPONENTS ENTROPY PRODUCTION DYNAMICAL-SYSTEMS MANIFOLDS FORMULA AXIOM
英文摘要	Let mu be an SRB-measure on an Axiom A attractor Delta of a C(2)-endomorphism (M, f). As is known, p-almost every x is an element of Delta is positively regular and the Lyapunov exponents of (f, Tf) at x are constants lambda((i)) (f, mu), 1 <= i <= s. In this paper, we prove that Lebesgue-almost every x in a small neighborhood of Delta is positively regular and the Lyapunov exponents of (f, Tf) at x are the constants lambda((i)) (f, mu), 1 <= i <= s. This result is then generalized to nonuniformly completely hyperbolic attractors of endomorphisms. The generic property of SRB-measures is also proved.; Automation & Control Systems; Mathematics, Applied; SCI(E); EI; 0; ARTICLE; 4; 465-488; 12
语种	英语
出处	SCI ; EI
出版者	journal of dynamical and control systems
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157872]
专题	数学科学学院
推荐引用方式 GB/T 7714	Jiang, Da-Quan,Qian, Min. Ergodic hyperbolic attractors of endomorphisms. 2006-01-01.

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