Structural stability of C1 diffeomorphisms
نویسندگان
چکیده
منابع مشابه
Stability of Anosov Diffeomorphisms
Definition 1. Let < , > be a C∞ Riemannian metric on M and | · | its induced norm on TxM for each x ∈ M . We say that f ∈ D is Anosov if 1. the tangent bundle of M splits in a Whitney direct sum of continuous subbundles TM = E ⊕ E, where E and E are Df -invariant, 2. there exists constants c, c′ > 0 and 0 < λ < 1 such that |Dfn xv| < c λn|v| |Df−n x w| < c′ λn|w| for all x ∈ M , v ∈ E x, and w ...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1976
ISSN: 0022-0396
DOI: 10.1016/0022-0396(76)90004-8