慢-快哈密顿系统中的分离矩阵图

IF 0.4 4区数学 Q4 MATHEMATICS

Proceedings of the Steklov Institute of Mathematics Pub Date : 2023-12-20 DOI:10.1134/s0081543823040041

Sergey V. Bolotin

引用次数: 0

摘要

摘要我们得到了多维慢-快哈密顿系统分离矩阵图的明确公式。利用该映射，我们可以将 Neishtadt 关于分离矩阵处绝热不变式跃迁的结果部分扩展到多维情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Separatrix Maps in Slow–Fast Hamiltonian Systems

Abstract

We obtain explicit formulas for the separatrix map of a multidimensional slow–fast Hamiltonian system. This map is used to partly extend Neishtadt’s results on the jumps of adiabatic invariants at the separatrix to the multidimensional case.

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来源期刊

Proceedings of the Steklov Institute of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Proceedings of the Steklov Institute of Mathematics is a cover-to-cover translation of the Trudy Matematicheskogo Instituta imeni V.A. Steklova of the Russian Academy of Sciences. Each issue ordinarily contains either one book-length article or a collection of articles pertaining to the same topic.