Long-term bounds on nonlinear Hamiltonian motion
type: Item
instance of: scholarly article
title: Long-term bounds on nonlinear Hamiltonian motion
zbMATH Open document ID: 0753.70013
DOI: 10.1016/0167-2789(92)90024-H
published in: Physica D
publication date: 1993-01-16T00:00:00Z
review text: It is proposed to find a pair of action variables \((J,\Psi)\) such that \(J\) is nearly constant and \(\Psi\) increases almost linearly with time even though the untransformed Hamiltonian is strongly nonlinear as it is in the study of accelerator design. A typical problem with ``\(2{1\over 2}\) degrees of freedom'' is treated. The object is to find bounds on the motion valid for very long but not infinite times.
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 70H15
Mathematics Subject Classification ID: 37B99
Mathematics Subject Classification ID: 37C80
zbMATH DE Number: 91653
zbMATH Keywords: action variables
zbMATH Keywords: accelerator design
author: Robert Lee Warnock
author: Ronald D. Ruth
reviewed by: H. N. V. Temperley
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 91653