Author:
Kunze Markus,Ortega Rafael
Abstract
Abstract
We consider non-periodic holomorphic twist maps of the form
θ
1
=
θ
+
1
r
α
(
γ
+
F
1
(
θ
,
r
)
)
,
r
1
=
r
+
r
1
−
α
F
2
(
θ
,
r
)
,
for α ∈ ]0, 1[ and
γ
∈
R
\
0
. Under appropriate assumptions on F
1, F
2 and a primitive
h
of r
1 dθ
1 − r dθ it is shown that
r
n
=
O
(
(
log
n
)
1
/
α
)
, if
(
θ
n
,
r
n
)
n
∈
N
0
is a forward complete real orbit of the map.
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics