VARIATIONAL APPROACH TO THE INTEGRALS OF MOTION FOR SYMPLECTIC MAPS

被引：4

作者：

BAZZANI, A ^{[1
]}

REMIDDI, E ^{[1
]}

TURCHETTI, G ^{[1
]}

机构：

[1] INST NAZL FIS NUCL,BOLOGNA,ITALY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 02期

关键词：

D O I：

10.1088/0305-4470/24/2/001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A variational approach to compute approximate integrals of motion for symplectic maps is presented. We show that the perturbative solution is recovered when a small neighbourhood of a fixed point is considered. An application to the Henon map illustrates how a nonlinear resonance is described by this method. A possible extension to the problems of beam dynamics in particles accelerators is discussed.

引用

页码：L53 / L59

页数：7

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