Letter singularities of integrable and near-integrable hamiltonian systems

被引：0

作者：

T. Bau

N. T. Zung

机构：

[1] Hanoi Institute of Mathematics,

[2] Max-Planck-Institut für Mathematik,undefined

来源：

Journal of Nonlinear Science | 1997年 / 7卷

关键词：

KAM theory; integrable system; homo-/heteroclinic orbits; Poincaré-Melnikov function; nonintegrability; 58F14; 58F07; 58F05; 70H05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The aim of this Letter is to show that the singularities of integrable Hamiltonian systems, besides being important for such systems themselves, also have many applications in the study of near-integrable systems. In particular, we will show how they are related to Kolmogorov’s nondegeneracy condition (in the famous KAM theorem), the Poincaré-Melnikov function and its generalizations, topological entropy, and nonintegrability criteria.

引用

页码：1 / 7

页数：6

共 12 条

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