Stability index for chaotically driven concave maps
نویسندگان
چکیده
منابع مشابه
Stability index for chaotically driven concave maps
We study skew product systems driven by a hyperbolic base map Ŝ : Θ → Θ (for example, a baker map or an Anosov surface diffeomorphism) and with simple concave fibre maps on R+ like x → ĝ(θ) arctan(x), where θ ∈ Θ is a parameter driven by the base map. The fibrewise attractor is the graph of an upper semicontinuous function θ → φ̂∞(θ) ∈ R+. For many choices of ĝ, φ̂∞ has a residual set of zeros, b...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2014
ISSN: 0024-6107
DOI: 10.1112/jlms/jdt070