Irregular scattering
type: Item
instance of: scholarly article
title: Irregular scattering
zbMATH Open document ID: 0669.58050
DOI: 10.1016/S0167-2789(98)90012-4
author: Bruno Eckhardt
published in: Physica D
publication date: 1988-01-01T00:00:00Z
review text: Hamiltonian systems with unbounded phases space can become chaotic by very much the same mechanisms as bounded systems. However, a scattering process is in some respects simpler than bounded motion since asymptotically the interaction becomes negligible. ``Chaos'' shows up in the form of a Cantor set of singularities for which the scattering process is not defined. We here review the phenomenon of irregular scattering, its origins, various methods of analysis and its relationship to bounded chaos. The universality of irregular scattering in classical mechanics is illustrated by examples from reactive scattering in chemistry, the celestial three-body problem and point vertex motion in hydrodynamics.
Mathematics Subject Classification ID: 58Z05
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 70F99
zbMATH DE Number: 4096454
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: scattering process
zbMATH Keywords: Chaos
zbMATH Keywords: chemistry
zbMATH Keywords: celestial three-body problem
zbMATH Keywords: hydrodynamics
MaRDI profile type: Publication
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full work available at URL: s0167-2789(98)90012-4
OpenAlex ID: W2913109846
description: scientific article; zbMATH DE number 4096454