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Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (10): 943-950.

• 论文 • 上一篇    下一篇

INVARIANT MANIFOLDS AND THEIR STABILITY IN A THREE-DIMENSIONAL MEASURE-PRESERVING MAPPING SYSTEMS

刘杰   

  1. Center for Nonlmear Stuidies, Institute of Applied Physies and Computational Mathematics, Beijing 100088, P. R. China
  • 收稿日期:1994-12-01 出版日期:1995-10-18 发布日期:1995-10-18

INVARIANT MANIFOLDS AND THEIR STABILITY IN A THREE-DIMENSIONAL MEASURE-PRESERVING MAPPING SYSTEMS

Liu Jie   

  1. Center for Nonlmear Stuidies, Institute of Applied Physies and Computational Mathematics, Beijing 100088, P. R. China
  • Received:1994-12-01 Online:1995-10-18 Published:1995-10-18

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摘要： In the paper researches on a three-dimensional measure-preserving mapping system are made,wthich is the three-dimensional extension of the Keplerian mapping.With the formal series method the expressions of the invariant curves and invariant tori are obtained.Finally the stability of these invariant manifolds is also discussed.

Abstract: In the paper researches on a three-dimensional measure-preserving mapping system are made,wthich is the three-dimensional extension of the Keplerian mapping.With the formal series method the expressions of the invariant curves and invariant tori are obtained.Finally the stability of these invariant manifolds is also discussed.

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