Abstract
AbstractWe consider skew-product maps on $$\mathbb {T}^2$$
T
2
of the form $$F(x,y)=(bx,x+g(y))$$
F
(
x
,
y
)
=
(
b
x
,
x
+
g
(
y
)
)
where $$g:\mathbb {T}\rightarrow \mathbb {T}$$
g
:
T
→
T
is an orientation-preserving $$C^2$$
C
2
-diffeomorphism and $$b\ge 2$$
b
≥
2
is an integer. We show that the fibred (upper and lower) Lyapunov exponent of almost every point (x, y) is as close to $$\int _\mathbb {T}\log (g'(\eta ))d\eta $$
∫
T
log
(
g
′
(
η
)
)
d
η
as we like, provided that b is large enough.
Funder
Royal Institute of Technology
Publisher
Springer Science and Business Media LLC
Cited by
2 articles.
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