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- W3099698075 abstract "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 towards a more general understanding of chaotic scattering in higher dimensions. Despite 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 the 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 that reflects the fractal structure of the chaotic invariant set. This allows us 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." @default.
- W3099698075 created "2020-11-23" @default.
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- W3099698075 date "2010-10-14" @default.
- W3099698075 modified "2023-10-01" @default.
- W3099698075 title "The chaotic set and the cross section for chaotic scattering in three degrees of freedom" @default.
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- W3099698075 doi "https://doi.org/10.1088/1367-2630/12/10/103021" @default.
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