Asymptotic observability of low-dimensional powder chaos in a three-degrees-of-freedom scattering system

被引：17

作者：

Drotos, Gabor ^{[1
,2
]}

Montoya, Francisco Gonzalez ^{[3
]}

Jung, Christof ^{[3
]}

Tel, Tamas ^{[1
,2
]}

机构：

[1] Eotvos Lorand Univ, Inst Theoret Phys, H-1117 Budapest, Hungary

[2] MTA ELTE Theoret Phys Res Grp, H-1117 Budapest, Hungary

[3] Univ Nacl Autonoma Mexico, Inst Ciencias Fis, Cuernavaca 62251, Morelos, Mexico

来源：

PHYSICAL REVIEW E | 2014年 / 90卷 / 02期

关键词：

SEMICLASSICAL CROSS-SECTION; APPROXIMATION; TOPOLOGY;

D O I：

10.1103/PhysRevE.90.022906

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We treat a chaotic Hamiltonian scattering system with three degrees of freedom where the chaotic invariant set is of low dimension. Then the chaos and its structure are not visible in scattering functions plotted along one-dimensional lines in the set of asymptotic initial conditions. We show that an asymptotic observer can nevertheless see the structure of the chaotic set in an appropriate scattering function on the two-dimensional impact parameter plane and in the doubly differential cross section. Rainbow singularities in the cross section carry over the symbolic dynamics of the chaotic set into the cross section. A smooth image of the fractal structure of the chaotic set can be reconstructed on the domain of the cross section.

引用

页数：8

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