1ST INTEGRALS AND STABILITY ESTIMATES FOR ISOCHRONOUS NONRESONANT SYMPLECTIC MAPS

被引：4

作者：

BAZZANI, A ^{[1
]}

MARMI, S ^{[1
]}

机构：

[1] UNIV FLORENCE,DIPARTIMENTO MATEMAT U DINI,I-50134 FLORENCE,ITALY

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS | 1991年 / 106卷 / 06期

关键词：

D O I：

10.1007/BF02813234

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that nonresonant isochronous symplectic maps in a neighbourhood of an elliptic fixed point have as many approximate polynomial first integrals as the number of degrees of freedom. From this we deduce a stability estimate for exponentially long times with the inverse of the distance from the fixed point. In the proof we make use of the majorant series method, and a functional equation verified by the majorant series used is studied in detail.

引用

页码：673 / 688

页数：16

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