Physics – Mathematical Physics
Scientific paper
2010-04-07
New Journal of Physics 12, 10321, (2010)
Physics
Mathematical Physics
36 pages, 13 figures
Scientific paper
10.1088/1367-2630/12/10/103021
This article treats chaotic scattering with three degrees of freedom, where one of them is open and the other two are closed, as a first step toward a more general understanding of chaotic scattering in higher dimensions. Despite of the strong restrictions it breaks the essential simplicity implicit in any two-dimensional time-independent scattering problem. Introducing the third degree of freedom by breaking a continuous symmetry, we first explore the topological structure of the homoclinic/heteroclinic tangle and the structures in the scattering functions. Then we work out implications of these structures for the doubly differential cross section. The most prominent structures in the cross section are rainbow singularities. They form a fractal pattern which reflects the fractal structure of the chaotic invariant set. This allows to determine structures in the cross section from the invariant set and conversely, to obtain information about the topology of the invariant set from the cross section. The latter is a contribution to the inverse scattering problem for chaotic systems.
Jung Chulwoo
Merlo O.
Seligman Thomas H.
Zapfe W. P. K.
No associations
LandOfFree
The chaotic set and the cross section for chaotic scattering beyond in 3 degrees of freedom does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The chaotic set and the cross section for chaotic scattering beyond in 3 degrees of freedom, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The chaotic set and the cross section for chaotic scattering beyond in 3 degrees of freedom will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-397758