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 |
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All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics
Cite this
The partial captivity condition for U(1) extensions of expanding maps on the circle. / Nakano, Yushi; Tsujii, Masato; Wittsten, Jens.
In: Nonlinearity, Vol. 29, No. 7, 25.05.2016, p. 1917-1925.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The partial captivity condition for U(1) extensions of expanding maps on the circle
AU - Nakano, Yushi
AU - Tsujii, Masato
AU - Wittsten, Jens
PY - 2016/5/25
Y1 - 2016/5/25
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84978085786&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84978085786&partnerID=8YFLogxK
U2 - 10.1088/0951-7715/29/7/1917
DO - 10.1088/0951-7715/29/7/1917
M3 - Article
AN - SCOPUS:84978085786
VL - 29
SP - 1917
EP - 1925
JO - Nonlinearity
JF - Nonlinearity
SN - 0951-7715
IS - 7
ER -