Abstract
This paper concerns the compact group extension f : ⌉2→⌉2, f (x, s) = (E(x), s + τ(x) mod 1) of an expanding map E : S1→S1. The dynamics of f and its stochastic perturbations have previously been studied under the so-called partial captivity condition. Here we prove a supplementary result that shows that partial captivity is a C τ generic condition on τ, once we fix E.
Original language | English |
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Pages (from-to) | 1917-1925 |
Number of pages | 9 |
Journal | Nonlinearity |
Volume | 29 |
Issue number | 7 |
DOIs | |
Publication status | Published - May 25 2016 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics