Adiabatic chaos in a two‐dimensional mapping

1996 ◽  
Vol 6 (4) ◽  
pp. 514-518 ◽  
Author(s):  
D. L. Vainshtein ◽  
A. A. Vasiliev ◽  
A. I. Neishtadt
2005 ◽  
Vol 32 (14) ◽  
pp. n/a-n/a ◽  
Author(s):  
Takeshi Tsuji ◽  
Takashi Noguchi ◽  
Hiroshi Niino ◽  
Toshifumi Matsuoka ◽  
Yasuyuki Nakamura ◽  
...  

Placenta ◽  
1998 ◽  
Vol 19 (8) ◽  
pp. 643-654 ◽  
Author(s):  
T.K. Chataway ◽  
A.M. Whittle ◽  
M.D. Lewis ◽  
C.A. Bindloss ◽  
R.C.A. Davey ◽  
...  

1988 ◽  
Vol 171 (1) ◽  
pp. 73-90 ◽  
Author(s):  
Noboru Tomiya ◽  
Juichi Awaya ◽  
Masayasu Kurono ◽  
Satoshi Endo ◽  
Yoji Arata ◽  
...  

1997 ◽  
Vol 140 (4-6) ◽  
pp. 259-265 ◽  
Author(s):  
D.A. Akimov ◽  
A.B. Fedotov ◽  
N.I. Koroteev ◽  
A.N. Naumov ◽  
D.A. Sidorov-Biryukov ◽  
...  

1993 ◽  
Vol 132 ◽  
pp. 73-89
Author(s):  
Yi-Sui Sun

AbstractWe have systematically made the numerical exploration about the perturbation extension of area-preserving mappings to three-dimensional ones, in which the fixed points of area preserving are elliptic, parabolic or hyperbolic respectively. It has been observed that: (i) the invariant manifolds in the vicinity of the fixed point generally don’t exist (ii) when the invariant curve of original two-dimensional mapping exists the invariant tubes do also in the neighbourhood of the invariant curve (iii) for the perturbation extension of area-preserving mapping the invariant manifolds can only be generated in the subset of the invariant manifolds of original two-dimensional mapping, (iv) for the perturbation extension of area preserving mappings with hyperbolic or parabolic fixed point the ordered region near and far from the invariant curve will be destroyed by perturbation more easily than the other one, This is a result different from the case with the elliptic fixed point. In the latter the ordered region near invariant curve is solid. Some of the results have been demonstrated exactly.Finally we have discussed the Kolmogorov Entropy of the mappings and studied some applications.


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