Investigation of invariant deformations of integral manifolds of adiabatically perturbed completely integrable hamiltonian systems. I

被引：0

作者：

A. M. Samoilenko

Ya. A. Prikarpatskii

机构：

来源：

Ukrainian Mathematical Journal | 1999年 / 51卷 / 10期

关键词：

Vector Field; Riemannian Surface; Hamiltonian System; Symplectic Manifold; Symplectic Structure;

D O I：

10.1007/BF02981688

中图分类号：

学科分类号：

摘要：

By using the Cartan differential-geometric theory of integral submanifolds (invariant tori) of completely Liouville-Arnol’d integrable Hamiltonian systems on the cotangent phase space, we consider an algebraic-analytic method for the investigation of the corresponding mapping of imbedding of an invariant torus into the phase space. This enables one to describe analytically the structure of quasiperiodic solutions of the Hamiltonian system under consideration.

引用

页码：1556 / 1568

页数：12