Hyperbolic limit sets
نویسندگان
چکیده
منابع مشابه
Omega-limit Sets Close to Singular-hyperbolic Attractors
We study the omega-limit sets ωX(x) in an isolating block U of a singular-hyperbolic attractor for three-dimensional vector fields X. We prove that for every vector field Y close to X the set {x ∈ U : ωY (x) contains a singularity} is residual in U . This is used to prove the persistence of singular-hyperbolic attractors with only one singularity as chain-transitive Lyapunov stable sets. These ...
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We study the omega-limit sets ω X (x) in an isolating block U of a singular-hyperbolic attractor for three-dimensional vector fields X. We prove that for every vector field Y close to X the set {x ∈ U : ω Y (x) contains a singularity} is residual in U. This is used to prove the persistence of singular-hyperbolic attractors with only one singularity as chain-transitive Lyapunov stable sets. Thes...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1972
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1972-0295388-6