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

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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

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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