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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