title: Asymptotic observability of low-dimensional powder chaos in a three-degrees-of-freedom scattering system.
abstract: 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.
authors.affiliation: Institute for Theoretical Physics, Eötvös University, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary and MTA-ELTE Theoretical Physics Research Group, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary.
authors.forename: Gábor
authors.initials: G
authors.lastname: Drótos
authors.affiliation: Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Av. Universidad s/n, 62251 Cuernavaca, Mexico.
authors.forename: Francisco
authors.initials: F
authors.lastname: González Montoya
authors.affiliation: Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Av. Universidad s/n, 62251 Cuernavaca, Mexico.
authors.forename: Christof
authors.initials: C
authors.lastname: Jung
authors.affiliation: Institute for Theoretical Physics, Eötvös University, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary and MTA-ELTE Theoretical Physics Research Group, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary.
authors.forename: Tamás
authors.initials: T
authors.lastname: Tél
mesh_terms: D017709:Fractals; D008962:Models, Theoretical; D017711:Nonlinear Dynamics