Transport in Hamiltonian systems
type: Item
instance of: scholarly article
title: Transport in Hamiltonian systems
zbMATH Open document ID: 0585.58039
DOI: 10.1016/0167-2789(84)90270-7
published in: Physica D
publication date: 1984-01-01T00:00:00Z
review text: The authors develop a theory of transport in Hamiltonian systems in the context of iteration of area-preserving maps. Invariant closed curves present complete barriers to transport, but in regions without such curves there are still invariant Cantor sets. In the regular components the motion is quasiperiodic and orbits lie in the KAM tori. By dividing the irregular components of phase space into regions separated by the strongest partial barriers, and assuming the motion is mixing within these regions, they present a global picture of transport.
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 3938105
zbMATH Keywords: theory of transport in Hamiltonian systems
zbMATH Keywords: area-preserving maps
zbMATH Keywords: invariant Cantor sets
zbMATH Keywords: KAM tori
author: Robert S. MacKay
author: J. D. Meiss
author: Ian C. Percival
MaRDI profile type: Publication
full work available at URL: 0167-2789(84)90270-7
OpenAlex ID: W1974628665
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description: scientific article; zbMATH DE number 3938105