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Coisotropic quasi-periodic motions near the relative equilibrium of a Hamiltonian system

 

作者: Ihor Parasyuk,  

 

期刊: Journal of Nonlinear Mathematical Physics  （Taylor Available online 1994）
卷期: Volume 1, issue 4  

页码: 340-357

 

ISSN:1402-9251

 

年代: 1994

 

DOI:10.2991/jnmp.1994.1.4.2

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

We consider the Hamiltonian system which is invariant under locally Hamiltonian (non-Poissonian) action of torus. We show that when a certain set of conditions is satisfied the majority of motions in a sufficiently small neighbourhood of system’s relative equilibrium are quasi-periodic and cover coisotropic invariant tori.

 

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